ERD Te AA bevy UHEDN EM EEEVENER ESE savnancnacintea Fb ry edetnemren Steerer meceres sree TayeeH TER |Pee wen heatzonn rece negeiadnners cetera PENH haga yeNUPIni aretscupayeenomnms nyRR eeeNan eeNt yse Ro AETRn DFFENNy : le UNITED STATES NAVY DEPARTMENT L HYDROGRAPHIC OFFICE Lanne rece apeipint meer beeworseningbetvegenntayasus eve POSMVERASRREAT ED ‘ We FTE OD AW, The following two cases, illustrate the method of working problems with these tables. Case I covers the majority of problems. Sometimes, however,it will be necessary to use Case II. i i Case I (L. H. A. between 0° and 90°, or 270° and 360°) The U.S. S. West Virginia is making video. At about 1650, on March 26, f3o1l°low0s4:’ .W7atSc.,h longitude 49° 35’ 45 52™ 278; C-W .7 W. 2 47™ observed altitude 18° 16.5’. Required passage from the United 1928, she was in D. R. At this time the sun 17s; chronometer slow the line of position. States to Monteposition, latitude was observed as 12™ 28°; corerdected hm 8 Se ee ae a Se ee ee 4 52-27 CaWie eee 2 47 17 @hronifaees. ts . 7 39 44 CONC aay Fy ST (+)12 28 G. C. T. 26 March__.- 19 52 12 Pre. ee ee (—)5 41.1 GAGE Dy ah2a oR Ei 19 46 30.9 SubiractWeoFsese! 12 b, takes the same name as the latitude. Ce WA ee eo ae =7 46 30.9 W. CARYGlee ce bee iets ereee RYO oe — Gero vane Assumed long... (—)49 37.7 W. MELA 2 ees a ee sa ge 67° Toosiey 2221 ONE ols 633 02.158. A 21159 C 103 Z’ 39.55 d+630 41.1’ B 29216 D 227 Z’"’ 65.02 % h,18° 16. 2’ h,1i8 165 A+B 50375 | C+D 330 Z 104.5 S. and W. a=0. 3’ towards. Case Il (L. H. A. between 90° and 270°) On May 15, 1928, about 8 p. m. the U.S. 8. Mississippi making passage from Hampton Roads to Liverpool, while in D. R. position 40° 43’ N., 68° 30’ W., observed the star Vega as follows: W 75 86™ 12; C-W 45 59™ 128; chron. 1= 15 slow. ‘True alt. 14° 50.5’. bm 8 h m 8 NR A DIE C tae ROOM Mes5 al or, G. C. T. 16 May 0 36 25 OV eco Se epUA) a oa 4 59 12 c Sees heron Facess ooo 12 35 24 -—_———— G.H. A.16 May 314° 49/6 Corr. 0 36™ 9 01.5 C. CcSremh ahah ig aM os are cide Tuk te Cr) 1 01 MRGGTnEgNisG: MGaay ro-eo.o)-: 150 3363 2495.7 OTe Gre Crepe byes te 6.0 Corr. 258 G. H. A. 6.3 3s2o3a 57n.e4 W. as Fle Sp 16 10 20.7 b, takes the opposite name to the lati- ey Aegis 6 oo oe 18 34 31.3 tude and d+ 6 is always subtracted. US IE Me a"saa SSS SSS Z, is always obtained by subtraction. 21 35 49.4 W. Oran cer teesPoo 8=323° 57.4’ W. Wessun long. 222.2 (—)68 57.4 W. IGeel (ery),re eer By An ioe 255° Majetree ecco Mu 180 W. (cr 105° E.). (illustrates note 13 6). LEE 1 a A is) ae BSovaz7" Ne L..41° b16 34.8 S. A 16461 C 137 Z’ (—)22.2° d+b22 07.9 +B 42396 Dyess 5 Zl" 73.5 9 g A+B 58857 §C+D 528 Z 51.3 N. and E. h.14° 56.7’ Aolt 50.5 a=6.2 (away). CORRECTIONS BUBBLE SEXTANT TO OBSERVED ALTITUDE MOON MOON OF SUN, STARS, AND Hor. parallax Hor. paraliax SSS Oe ee ° 5. 5 6. 0 6. 5 7. 0 7.5 56’ 58’ 60’ | ee ee eee OEE ° / / / ¢ 46 |+37 |+38 |+40 |+41 AT prob: | otal 10) |, 40 Ashi oom os |) oo.) oo ZA9Nao | 30) |) lot) oo 50} 34, 35] 37] 38 8.0 |+47 |+49 |+51 |+53 || 51 [+33 |4+34 |4+36 |+37 85) 47] 49] 51 53 | 52] 33] 34] 35] 36 9.0] 48} 50] 52); 54] 538] 32] 33) 34] 35 9.5 | 48}. 50 | 52 | 54-54) Si 32 | 34] 35 10 48 | 50] 52) 54] 55] 30] 32] 33) 34 11 +48 |+50 |+52 |4+ 54 || 56 |+30 |4+31 |+32 |+33 12 4 50 | 52. 54 || 57}. 29} 30) 381) 32 13 49; 51 53 | 54 || 58] 28] 29) 30) 31 14 49} 51 53 | 54] 59 | 27 | 28} 29) 30 15 49 | 51 53 | 54) 60; 27] 28, 29); 30 16 +49 |+51 |+53 |+54 || 61 |4+26 |+27 |+28 |4-29 17 49; 51] 52} 541 62] 25) 26] 27) 28 18 48); 50| 52; 54].63 | 24) 25) 26] 27 19 48) 50] 52) 54] 64] 23 | 24) 25| 26 20 48) 50| 52) 54165} 23) 23] 24] 25 21 +48 |+50 |+52 |+54 || 66 |4+-22 |+22 |+23 |+24 22 4 50 | 52]. 538 |.67 | 21 | 22) 22) 23 23 48); 49{ 51} 53 | 68}; 20] 21) 22) 22 24 47 | 49{ 51 53 || 69 TOM S208) eles 2 25 47} 49] 51 | 52 || 70 18 19 | 20; 20 26 27 28 29 } 30 +47 |+48 46 | 48} 46} 48] 46, 47| 45 | 47; |+50 |+52 |CAE ae lie Var ile). sel) 50] 52 || 72 16 Ui ELS 50] 51 || 73 16 16 | 17 49, 51] 74 15 15 | 16 49 |50 || 75 14 14) 15 j 31 32 33 34 35 +45 |+46 |+48 |+50 || 76 |+13 |+13 |4+14 |414 44) 46] 48) 49 || 77 12 12 ets 44) 46] 47 | 49 | 78 il 12 a 43} 45 |-47} 48 || 79 10 LU et 43 | 44] 46] 48 | 80 9 10; 10 36 +42 |+-44 |+46 |+47 | 81 | +8] +9] +9 37 42 | 44] 45 | 47 | 82 8 8 8 38 41 | 43) 45] 46 ] 83 7 7 7 39 41} 42 | 44) 46 | 84 6 6 6 40 40} 42] 43] 45 || 85 5 5 5 41 +40 |+41 |/+43 |+44 || 86 | +4] +4] +4 42 39 | 41 | 42) 44 | 87 3 3 3 43 39 | 40) 42] 43 | 88 2 2 2 44 38 | 39 | 41] 42 | 89 1 1 1 45 +37 |+39 |+40 |+42 || 90 0 0 0 Note.—This table must not be used for altitudes measured on the horizon. 4O00301ecbS IANSA A Corrections to Observed Altitudes of Sun Star or Planet Table Ill Table Table AVIATOR’S TIME-SPEED-DISTANCE TABLE Speed in knots or miles per hour 0.7 0.8 1 1.3 aByf 2 2 2.5 3 2.7 3.3 4 3.3 4.2 5 4 5 6 4.7 5.8 7 5.3 6.7 8 6 7.5 9 6.7 8.3} 10 7.3 9 11 8 10 12 chi |p aul 13 9.3 | 12 14 10 12 15 10.7} 18 16 11.3 | 14 17 12 15 18 12.7 | 16 19 13 17 20 14 17 21 15 18 22 15 19 23 16 20 24 17 21 25 17 22 26 18 22 27 19 23 28 19 24 29 20 25 30 21 26 31 21 27 32 22 27 33 23 28 34 23 29 35 24 30 36 25 31 37 25 32 38 26 32 39 27 33 40 27 34 41 28 35 42 29 36 43 29 37 44 30 37 45 31 38 46 31 39 47 32 40 48 33 41 49 33 42 50 34 42 51 35 43 52 35 44= 53 36 “| -45 54 37 46 55 37 46 56 38 47 57 39 48 58 39 49 59 1.2 1.3 2.3 2.5 3.5 3.8 4.7 5 5.8 6.3 7 7.5 8.2 8.8 9.3 | 10 10.5 | 11.3] 11.7} 12.5) 13 14 14 15 15 16 16 18 17 19 19 20 20 21 21 23 22 24 23 25 24 26 26 28 27 29 28 30 29 31 30 33 31 34 32 35 34 36 35 38 36 39 37 40 38 41 39 43 41 44 42 45 43 46 44 48 45 49 46 50 48 51 49 53 50 54 51 55 52 56 53 58 55 59 56 60 57 61 58 63 59 64 60 65 61 66 63 68 64 69 65 70 66 71 67 73 69 74 1.3 1.4 1.5 1.6 2.7 2.8 3.0 3.2 4.0 4.2 4.5 4.7 5.3 5.6] . 6 6.3 6.7 rBul 7.5 7.9 8 8.5 9.3 9.9] 10.7 | i13] 12 13 13.3) 141] 9 9.5 10.5; 111 12 12.6 13.5 | 14.2 15 15.8 15 15.5 | 16.5 | 17 16 17 18 19 17 18 20 21 19 20 21 22 20 21 23 24 21 23 24 25 23 24 26 27 24 25 27 28 25 27 29 30 27 28 30 32 28 30 32 33 29 31 33 35 31 32 35 36 32 34 36 38 33 35 38 40 35 37 39 41 36 38 41 43 37 39 42 44 39 41 44 46 40 42 45 47 41 44 47 49 43 45 48 51 44 47 50 52 45 48 51 54 47 49 53 55 48 51 54 57 49 52 56 58 51 54 57 60 52 55 59 61 53 56 60 63 55 58 62 65 56 59 63 66 57 61 64 68 59 62 66 70 60 63 68 71 61 65 69 73 63 66 71 74 64 68 72 76 65 69 74 77 67 71 75 79 68 72 77 81 69 73 78 82 70 75 80 84 72 76 81 85 73 78 83 87 74 79 84 88 76 80 86 90 77 82 87 92 78 83 89 93 ic 1.8 1.8 3.3 3.5 3.7 5.0 5.3 5.5 6.7 7 7.3 8.3 8.8 9.2 10 10.5 11 11.7 12.3 12.8 13.3 14 14.7 15 15.8 16. 5 17 17.5 18.3 18 19 20 20 21 22 22 23 24 23 25 26 25 26 27 27 28 29 28 30 31 30 32 33 32 33 35 33 35 37 35 37 38 37 39 40 38 40 42 40 42 44 42 44 46 43 46 48 45 47 49 47 49 51 48 51 53 50 53 55 51 54 57 62 53 56 59 64 55 58 60 66 56 60 62 68 58 61 64 70 60 63 66 72 61 65 68 74 63 67 70 76 65 68 71 78 66 70 73 80 68 72 75 82 70 74 77 84 71 75 79 86 73 77 81 88 75 79 82 90 76 81 84 92 78 82 86 94 80 84 88 96 81 86 90 98 83 88 92 100 85 89 93 102 86 91 95 104 88 93 97 106 90 95 99 108 91 96 101 110 93 98 102 112 95 100 104 114 96 102 106 116 98 103 108 118 H. O. No. 208 ——— NAVIGATION TABLES on tions to FOR Observed Altitudes MARINERS AND AVIATORS So Planet FIFTH EDITION Il DREISONSTOK Tulle UNITED STATES GOVERNMENT PRINTING OFFICE | WASHINGTON : 1940 | | For sale by the Hydrographic Office, Washington, D. C., also by the Superintendent of Documents, Government Printing Office, Washington, D.C. - - - - - - - - - ee ee ere Price $1.20 STATUTES OF AUTHORIZATION There shall be a hydrographic office attached to the Bureau of Navigation in the Navy Department for the improvement of the means for navigating safely the vessels of the Navy and of the mercantile marine by providing, under the authority of the Secretary of the Navy, accurate and cheap nautical charts, sailing directions, navigators, and manuals of instructions for the use of all vessels of the United States, and for the benefit and use of navigators generally. (R. S. 481.) The Secretary of the Navy is authorized to cause to be prepared, at the Hydrographic Office attached to the Bureau of Navigation in the Navy Department, maps, charts, and nautical books relating to and required in navigation, and to publish and furnish them to navigators at the cost of printing and paper, and to purchase the plates and copyrights of such existing maps, charts, navigators, sailing directions, and instructions as he may consider necessary, and when he may deem it expedient to do so, and under such regulations and instructions as he may prescribe. (R.S. 432.) pau PREFACE These tables were conceived, and the method and formulas deduced, by Lieut. Commander J. Y. Dreisonstok, United States Navy, while a member of the Naval Examining Board, Navy Department, Wash- ington, D: C. This officer was later attached to the Division of Nautical Research of the Hydrographic Office, where he completed the calculations and put them into the present form. Commander F. H. Roberts, United States Navy, of the Hydro- graphic Office, contributed valuable suggestions and criticisms in the preparation and revision of the book. Acknowledgment is made for the constructive criticisms submitted by the fleet, the United States Naval Academy, and other sources. The work of revising the fifth edition-was performed by Mr. Elmer B. Collins of the Hydrographic Office. These tables are designed to facilitate the navigation of aircraft Table and surface craft. Used with the Nautical Almanac, no other books are required. The method of solving navigational problems here given is applied to all problems regardless of the position of the heavenly body, be it sun, moon, planet, or star. It requires few figures and gives a quick solution for determining (a) line of position, (6) compass error, (c) meridian altitude, (d) Great Circle course and distance, (¢) identifica- tion of unknown stars. The accuracy of the azimuth data fully justifies its use in obtaining compass error. The tables are simple to use. While a small and handy size is desirable, space is given at the end of the book to a full explanation of the construction of these tables, together with numerous problems, in order that an opportunity for analysis may be afforded those who desire to investigate their sound- ness and uses. W. R. GHERARDI, Rear Admiral, U. S. Navy, Hydrographer. Til Conversion of Time into Are and Vice Versa ° 0 1 2 3 4 5 6 i 8 165 | 175 18+ 194 205 ° ° ° ° ° ° 180 |195 |210 225 |240 |255 | 270 | 285 |300 181 |196 |211 226 |241 |256 |271 | 286 | 301 8} 182 |197 |212 | 227 | 242 | 257 | 272 |287 |302 12 |183 ;198 ie 243 |258 | 273 |288 | 303 16 | 184 | 199 : 244 |259 | 274 | 289 | 304 20 |185 |200 | 215 |230 | 245 | 260 | 275 | 290 | 305 | 320 | 335 | 350 ||20 24} 186 |201 |216 28 |187 |202 |217 32 |188 |20|3218 231 |246 |261 |276 | 291 | 306 | 321 | 336 | 351 ||24 232 |247 |262 }277 | 292 | 307 | 322 | 337 | 352 ||28 233 | 248 |263 |278 | 293 | 308 |323 | 338 |353 ||32 20 | 35 | 50 21 |36| 51 22 |37 | 52 23 | 38 | 53 36 | 189 |204 |219 234 |249 |264 |279 | 294 |309 | 324 | 339 |354 ||36] 9 |24} 39 | 54 40 |190 | 205 | 220 235 | 250 |265 |280 | 295 | 310 |325 | 340 | 355 ||40] 10 |25 | 40 | 55 44, 191 |206 |221 236 |251 |266 §281 | 296 |311 | 326 | 341 |356 | 44] 11 |26) 41 |56 48 | 192 |207 | 222 237 |252 |267 | 282 |297 |312 |327 | 342 | 357 ||48 |12 |27 |42 |57 52 7193 | 208 | 223 238 |253 | 268 |283 |298 |313 |328 | 343 |358 ||52] 13 | 28 | 43 | 58 | 209 224 y 314 0. 4 0. 1 0.8 0. 2 1.2 0.3 1.6 014 2. 0 0.5 2.4 0. 6 2.8 0.7 3. 2 0.8 3. 6 0.9 4.0 1.0 oj a ey 200 250 300 400 500 600 750 800 1, 000 1, 250 Corr / 13,9 es tae 195 71-9 450) =96"8 oy = —34. 6 Height of eye “teet) Corr. — 38.0 ae —46. 5 —49.0 <5 iat Saat —55. 8 — hee — 60.0 — 62. 0 CORRECTIONS A STAR OR TO BE OF THE APPLIED TO THE OBSERVED ALTITUDE OF SUN’S LOWER LIMB, TO FIND THE TRUE ALTITUDE Tasite A TABLE B | Observed altitude Onan * 1| Sun’s corr. |Star’s corr. { Date fo) | Additional sun’s corr. | Correction for height of eye 6Ba04F0 les r68.f24 |.— 7 ‘ g 9 7 6wo50 88..76 764 7 10 8. 9 Bo) Jan. 1 | TEMGp ISi Oks || eHyeeigh(fteeto)f ilGees 0 Veby rl) Wee Ors 2 Corr eran 0.ae 0 | =i.ie pate |0 1 | +02 a) Lt) 7 40 9.7 3ol 6.. 8 | 19) lo al 4 os 0 78 500 99..56 6@,. 67 Mar. 1 | +0, 2 8 yl ey 5 7 6 —222...246 | Sal) I spaee | he 8 2.3 88 2300 109.. 08 66..23 Apr. 1 0. 0 9 2.9) 4 88 4500 1M0G. 2 6. 6. 0 1 15 0.0 1101 Sa3 2 Boe 40030 25.9 Bu |as Ot 1123 3.45 1099 42000 10 20 10 40 1100..56 10. 8 11.0 | +11.2 55..57 55..82 | —5.0 cdx pa eee Juneue 1 iy kbs 0.2 15: —0. 2 14 3|.8 1156 Ss3.9t 1187 4ho.d0 LO 1o1pe30 11.3 t11i.57 4APe.a9s 12 3 11.9 4.3 Sulyeg aa ieeyei LS ives Oe 19 aa 20) Sara 21 4.5 | 22 4.6 tere 12. 0 —4,.1 yb aa —0. 2 93 47 13 30 MO 1156 00 ep Ole 211089 000 22,70 12, 2 4.0 12.3 3. 8 12. 6 3. 6 12.8 3. 4 css 0: | 28.2 | 111333.. 352 OR3W.Se0) a | RHE les W 2.4 | 15 —0. 2 : ‘ ept. | =) 3 15 | —O1 | Weyecta Mga t|ele RIG 15 Soa a4 48 25 —4.9 2267 55..01 28 5.2 29 5. 3 30), |pBat 31 5. 4 32 5.5 PDAeneOme aonma il 2.o2t)o || WeNOv‘ ts Wea Re¢ 3334 75. 6 28 0 14. 3 Reet 30 0 14.4 1) 22) 0) 14.6 16 | is 40.2 sie 35 5,2 37 6.0 34 0 | +147 | -1.4 | 36 0 14.8 1.3 4380) 100 1145..90 o12ye | 45( 5D 0 15.1 Oo |)RS 1.0 Ong. 55 (0 15. 4 0. 7 6650 00 1155.. 56 O0v.e5r || 70 0 15.7 0.4 | wo 0 +15.8 | —0.3 | 80 0 15. 8 0. 2 85 0 1B Cre =O | 90 0 | +16.0 OO) z i SB1t5EeAN 1YC0.8Os : Al Bus 43 6. 4 ale ane 47 6.7 4519 67.09 53 ea 5650 7,t3 6 65 9 70 re) 75 8.5 8850 =89..80 90 9.3 95 9. 6 160 =o Correct.ionsto Observed ae of Sun Star or Planet TH a = ( — TabIle ia > | Tabille / = Expkleanna| . Cto:inosntraunc-d Useof Tables | | | | | ) | | CORRECTIONS FOR THE OBSERVED ALTITUDE OF THE MOON TaBLE C FOR REFRACTION, PARALLAX, AND SEMIDIAMETER. LowER Lm. Horizontal Parallax. LoweER Lis. Obs. Horizontal Parallax. ,HNPHNOnOnmOOoMnmeNoec - 11+68. 3/+69. , . O| 68.2) 69. 5) 70. . 9] 68. 1) 69.3) 70. . 7] 67.9} 69.2) 70. . 5| 67. 8) 69. 0} 70. . 3|1+67. 5]+68. 7]+70. 5, 31456, 2/457. 2145 . 6} 55.5 2 2 By. . 61452. 5/+53. 41+oorcr . 9} 51. 8} 52. : 1) SI. OF Sie . 3] 50.2) 51. . 5} 49.3] 50. . 7/+48, 5/+49. + . 9| 47.7) 48. . O| 46.9} 47. O WOO O hP oo»KC K QT Prr HNPRO o WePBI NOwWN OR | ! etal Leal i ! | OWOUIRSMNANCRNHWOVWPNHNONONIHB!ERHCOO | bel | PuCCle NrOaeCONO Ore ReIOOOH . 81425. . OF 24, . 9} 23. - 9 22. . 9} 21. . 91420. . 9} 19. . 9 18. . 9} 17. . 8+16. H. E. feet. | | ei 1)~COAINNORNWIENOIDIOANAIDG CORRECTIONS FOR THE OBSERVED ALTITUDE OF THE MOON 3 TABLE C FOR REFRACTION, PARALLAX, AND SEMIDIAMETER Uprer Linn UPPER LIMB. Obs. Horizontal Parallax. Obs. Horizontal Parallax. ——_—$<— | | | J _——_—_—— | $$ —— | | Ef _ oo fez) (Jt)bo ow (Jy)(oN) f=) (JX)ow ~J (JX)iss 21.3) 21.7) 22. 1) 22.5) 22.9) 23.3) 23.8) 24 17.8|18.2| 18.5] 18.9| 19.2] 19.6] 19.9|20.3 o Tnnoonnoon = 13SNHNOM|OAHM3M3.7| 34.4|35.1|25.8| 36. 14 | 338].34. 5]35. 2}35. 9]36 15 | 33.8]34.5]35. 2]35. 9]36 1176 ‘|+3333. . 881|+.3344.. 55/]43355.. 21/|4335.5.981|+3366 18 | 337|.34. 3]35.0} 357.] 36. 19. | 33.5] 34.2] 34.9]35.6] 36 20 =| 33.4]34.0|34.7]35.4] 36 21 14338. 21433. 91434. 51435. 2/435 22 =| 33.0| 33.6|34.3)34.9)35 23 | 32.7|33.4|34.0|34.7|35 24 | 32.5] 33.1] 33.7|34.4]35 25 | 32.2| 32.8] 33.4] 34.1] 34 26 = (+81. 91432. 5/+33. 11433. 71434. 27 «|:315|.32. 1|32.8]33.4] 34 28 | 312|.31. 8] 32.4] 33o.| 33 29 | 30.8] 31. 4]32.0]326.]33 30 | 30.4|31.0] 316].32. 2]32 31 |+30. 01430. 6/431. 21431. 81432 32 | 29.6| 30.1|30.7| 31.3] 31 33 | 29.1|29.7|30.3]30.8] 31 34 | 28,7] 29.2]29.8] 30.3]30. 35 | 28.2}28.7]29.3] 29.8]30. 36 1,27. 7/+28. 21428. 81429. 31429. 37 | 27.2|27.7|28.2|28.s|29 38 | 26.7|27.2|27.7|28.2|28 39 | 26.1] 26.6]271] 27.6] 28 40 | 25. 6| 26.1]26. 6| 27. 1| 27 41 14.25. 0425. 51426. 01:26. 41426. 42 | 24.4|24.9) 25.4]25.8]26. 43 | 23.8|24.3] 24.7| 25.2) 25. 44 | 23,2] 23.6|24.1] 24.6]25. 45 | 22.6| 23.0|23.4]23.9]24. 12.6]12.8}131].13. 3] 136].13.8] 14.1] 14.31 Table 118].12. 0]12.3] 125].12. 7]13.0] 13.2| 13.4 Ill +1110. .204}-1110..24/|+1110..46/]4111.0.68/]41111..0]9)41121..12/|41121..34/]41121..65) 9.4] 9.6] 9.8]. 9.9] 10.1] 10.3] 10.5] 10.7 8.6] 87] 891 911 92) 941 96 9.7 7.7| 7.91 &0| 8&2) 83] 845 87 8.8 : + 6.91+ 7. 01+ 7.24 7.34 7. 54 7. 6+ 7. 7+ 7.9 6.1) 6.2) 6.3) 64) 65} 67| 6.8 6.91 Table 5.2) 5.3! 5.4] 5.5] 35.6] 5.7] 5.8] 5.9 4,3) 4.4] 4.5] 4.6] 47] 438] 4.81 49 I 3.5] 3.5] 3.6] 3.7] 3.8] 38 3.9] 20 + 2. 6+ 2.7] +2. 7+ 2.814 2.81: 2914 291. 3.0 | 1.7 1.8) 1.8} 1.9) 1.9] 1.9] 20] 2.0 | + 0. 91+ O 9+ 0. 9+ 0. 91+ 0. + 1. Ol+ 1. Ol 1.0 Sy 0.0] 0.0} 0.0] 0.0] 0.0] 0.0] 00 0.0 - 0.90.9|--0.9/- 1. 0/- 1. 01- 1.0/- 1.0- 1.0 - 1.8 19-19-19) 1.9 20-20-20 Table LU PLE Pale FH )e Lae Bap Sal sic SG ShTr susieesesi= 3) Sleeauol eaio aT if 4.5] 4.6, 4.7) 4.8] 4.8] 4.91 5.0] 5.1] 5.4] 5.5] 5.6 5.7] 5.8] 5.91 60| 6.1 - 6.3l- 6. 5|- 6. 6- 6. 7|- 6. 8/- 6.91- 7.0- 7.2 “4 Ze Sliei4ts| PASI 7h Te weSik ze Ole Sail go =a 8.2} 83] 85) 86 8&8] 89 9.1] 9.2 9.1] 9.3] 9.4 9.6 9.8] 9.9] 10.1] 10.3 10.0]10.2}10.4] 10.6] 10.8/ 10.9] 11.1] 11.3 -10. 9[-11. 2-11. 41-11. 5|-11. 7/-12. o|-12. 2|-12, 3f Explana- 11.9} 12.1] 12.3] 12.5] 12.7] 13.0] 13.2] 13.4 A | 12.8] 13. 0] 13. 3] 13.5] 13.7] 14.0] 14,2] 14 4 tion 13,7] 14.0|14.3] 14.5] 14.7] 15.0] 15.3] 15.5 ofGe | -14, 7|-15. O|-15. 3|-15. 6|-15. S|-16. 1-16. 4]-16, 7 . 0 1 2 3 4 5 6 7 8 9 e E5NECSPe HNMYPNYONUNaeIA RNn0c9Bc0o9OooE0BWONH MHROCM PdlnaiPAe~ltnHH6GSCietd2OeIrSADerdRd TTEsEEPAOALN NOIBNWNRNrO NORAAIDD TABLE III. MEAN SOLAR INTO SIDEREAL TIME. TO BE ADDED TO A MEAN TIME INTERVAL. ooococoe ooo aCanear weaiSIsAeeVOrpNs eYyAeWONA HOWS A Y QaaNAHH. OCArI igt pSpiAceMcHacO rf1GoiQeOD QeOe NSNONQM MOON S mBLNE VBcWeQI S CS RRoaoKneSacSwoSte QNoHo RAo Sto RSo S HSSsQHoWcDSONcYo COCO OSSOOO COSOOSS CVVHRKASSKHKOBRHNPESSS BNENENBNEN DHONI DHHMH CHMNG COC SCOSOSO COSOSOOS SBIHGKBGS HSNKSDHHHS SSGHENNN NOHO OCHOHM HDOHMIN CCOOoS SCOSoCO COSOSOSCO OSCLHOKOWKSG SKHEENLKHLH SSSSOSNKENEK5N YONA SeSHecReoSeoSSe MAco OBo WBe SEo H OAceANoKeeORsSe OSOSOSOS SCOSOSS SSOSSS SSESSSSSSS S6iHdBididss HHxHidSidid HMNOD MHONS NMNWDON COOSOSDO COSOOSS SOSSS SSSSSSSS SSSiSHidididSiHsS WHoS sss ONMDHMN AMONDS WNHN OOOO CSOSOSCO SOOSOOCS 6BSSSS6SSSS BiSdiSdii8diid8id StaEiSdSsSid YGeScAreioAeeR9o1oA®e OSeoNAsDoMYReQeAcNe SSSOSOS SSSSS sGoostytayoay GAeaasss MNHONM RONDID SSOSOSS SOSOSOSS VHAoRoswd SAANSdSS MDHRON MAONH SCSOOSS SOSOSS SHSaSmBaEd SAHNBASS CAAoNPeQcAAeANoNo c AWAo IAc NRe DAo SN QRcoHRoAAeoDAcAAe AafAHAAoAQoRo AaoYo SSOSS NGAHAGNS ONHON SSSSS SSSSS Hooosoo BHGaGdGs RRRHH SRBAARBSSRSo4Se)SSO ASAMHOONNA BAAN a2 SSOSS SSSSS SSSSS H#Hooseos FAIAVNIASA FHSenSnA MANTMIQ SASSSESSSSS BHPOEHBBES~qH QNHONAABAOHnOORNAHM SSOSOSS SCSSSS OS9S999 HOSSSS SASAGABNSNR sSoSdSsSG SSSSSSSSdES5 SI"EBIBEBSSSATqeS)B anne AAA SAA SAA AAA AAA AAA AAA AAA AAA FAAANA HSOSCOCSCO © HAMHIKNHHOOS WKiKnKeNSADONCMSN SNE PHAiOSASNOYS HWiAdiAdiNdid AWNaiYwWiOwiMnt AHoWaOeMeOds WAAONOA SAOAAAAAYND OSAOA SSOT SSSSOO BAa BRBRRP> ade Sed ARs AAA AAAs AAA SANs SAA SAA AAAs SN FSA Be Mo eee B ce OCNOIO ON eene Lr AnAn N ee AhPRTROR ANSRAN HON OMOOODOOrMImDWO O1H91A9 AN BAe ANNA NAAN HH1D1SDHH1 SHD MC AHOMS WA O ANNAN AN es NNN AAs Sewn AMNaQMWMOMNNDH NA QN HKNOA WAN MFOA NA DOANN QC KO NSNAA YDN LAOOOACMCSO I “ AD NA IA M q adee Seo SRSA AAs AAA AAA AAA Annan ANNA ANTANANA AQQANQN AANAN ANAAN OHAHIO HNHOR NHOKRD HODOH DDHBHMD DHHMNH 00r0 h 0 BRORRRN OMMO1M9NODO 191919 H19N1DHH SHSHH OD CD OD C9 00 ea Mie ea Nar ie ae MR tad acai i Mae Se ert ir i ep ant ee ee ae ir rT a er a ee 2 eae oe ee ee AAAs SAA SSA AAAQAA AANAN ANAANN O02 CiHgsMaIND ANNANNYN FAHnARRN a HINOHI O SI MIa NDOi S i ee Ae ANANN COONAN DWMlNsMOONae SSN AANA MOaOgliNiE $99 SSA co DAMMDADDOSO tg PgriAtOND | ee, ce te we eo 8! Eaneesa,AL SiaG.o pain,ie te minn ec FW es ohms RemCe We STLNe eee SLRWe ECS RS aeA eeeele te ee ce eae aan) eon CoE RT, ER RTE aR Rr, RaSh O KVEONSWHOSOD SDSSASaOrNSiKgRdNt SSSSrSSiWS6gSSw6SoS VHB19AI1S9NV1SHO9V1S9T1H96iBQIOPWISR Ca WVMRoMVd OINS GMAOIdSSaNReHYSAsAAAGVOINAAIM HSHHeAGnSWnENSQEAHSAHSWHeSASHS BLHeBOrBMcBASSAEAIAGGDOOoHDPHSLri| Np 1010 eahtay 191019 BRKRR KNO Sg.ay wT beergie 1C91O91R 91R 019OB11O99D1O9O191919919111999.11991.1D919S19a1.t1H190.191DTD. Ta meeeOe, uml, ae ie) SaCM Reteee LROe) SiR CR AE D1AD1.D 1D. 1) MOCO ADADD AD NNN AD AD UCD UCD ACD AD SHANNA MD MD IR ORRe nARa e Rig pe BRR eeae ee Bh ee alesIiNsG ereA Oe ae LLL EEE ONcInBO16VNS CSMaSwAwMiMipnwcwedw MONBDSS M M OOAHRIATNM9AIAOYIOrrOONRTQNaWNiMTMcOOOAScgAMNONnoN WDSOwMDHAdOMNWSHWMOAMSOOMMOMAHIOMOOMDNOSOAMARIrMGSDNDrmASN HOOMKaMeNnEAMGMWMiHMdHEiNgdEitnMdidd Hoi RDO cH ANHeMOeBKNRV1E®AS9GSAC1RMMEiiS9MdsDEii1MdwiCi5sAiiGds 1Dis919 CORMaMMOMEN SONeOMMN Ko1M1HH VMM STSI 191915 M E r r ———— | i910 ROMHEGAAMNAHAGNNEMHSMBMCHA1M9aN~AGNS QHNMBHMBHOMHAHMNIMSAHMNHiMHpMAANA HMHMOMHHCWMHDOMHHMAAMSNMOMiNHbMHMH DWOMHOMENO1ND ODKO DMHOOFNOORYDXANGA B O O DE D ODHDMCOMOHDEMMODHMAMMSDMSEAMDSOSDGD ODED HOMDMOAABOHMMOAMODEMAHGMSBIDMGAMBSBAGD S MHOMOEHCRMODHSMSE AOMSMSOSEMORMSOSMSSS ‘ s gaé = = “3 P | cH) 2 23 onwe=> be =e y = | So meas cS A ” M O 6 Moisi ee -Owhela ie pitsihe ownesM! yr6gae0 VOLT Ske)apnea? PEE= OAsOle SEU0, c ellera0) OliseOlAn poke8) 6 18) et MehSO!ce) sce. eer ve) iny KepOkpeel Fier:ee ne ate (=e) ieerel Ret©e) TABLE IIT. MEAN SOLAR INTO SIDEREAL TIME. TO BE ADDED TO A MEAN TIME INTERVAL. OD Of Gf) Cf CD Or te) iedyneipe: Sse esol te! Le serene le eetiee See ke m6) ce. cue! je: selevel te cle a8 6 eel Os eye ie! el Mele lees Tene wen ee pem anaes een Mele ie pmre Nis lees ©) emis mir elvieiare MCCN D CD OD CODON CIC CD COE CD D OD OD CIOO D CDE) CD OD OD CDC COO CDN CD CD COE CDD OD OD COO CIN ON CD MOCOD D OD OD COOD D CN CM of of Cf Of OD AQUNOO QMHAVS NAAAY CHAAA WWNAS AWN] SAWN YOM NMSA WN MOM QinDHS WDDNDOD HOOA2AWD ADGDOCO Soeso CCC saints FNnNRTNANANANNN ete ANN es MMMM ANN AMAA AANA WH19191D 1919010 0O OOWOOr SNe Ne NAN es ANA eS CHOC CA CD MMC MA MMM MOCO OD CACM ED CACO CDC MOCD N ODED MCI CDM CD CCON D CNC CODCO D CNN OD cf OD CO on CD AWONA AAWTON AOAW NASA WMA MON YS AIGHNH ONMINE WOrAIQ ONMOrieg NOMAY OOM DDH DAMAMAD NANNN ANNANANN DOGDOCOSO 1111DD9D)9D..1.9 NAMM MO COCOA FANMANN ANNNTM CONN DOM OOD MODE OD CIODCD CIO CAC CICIM HHH MAOM D CIO WH191919019 191DOD OOM OOOOr CHOD CICA OD CD CDCCI D CO CD CM CY CD CD E BON AA WOR AS AWN A SAWN HONIG NNHONG WN YO YPROQS yA HOH GrAMQKO QA OYA I~ Err WOD DNDDADM AAMODDM OQOCOS Ors FWHRNANNAN ANNO AMON oH ees 19 19 191019 191C9 O C0OCO COC CO O IP re SSH OS SSS OO 109919191 19. 1.9.19.19 1.9 19 19.19.Ds 1.99.19 19 19 1D 1) 1) 1. 19 wd WD UD WDADD AD AD 1D 19 AD 1D wD 19) 1D 1.9 1.9 ENNNANN NANNNAN ANNAN ANNAN ANNAN ANNNN ANNNN AQANNNN ANNNN ANANNNN ANANNNN ANNAN a | ai SQA WNASA QM WS Ayn SMIGOG MOM egIQ ODN QOQNA QWOOA regwOQOQ AIQHO Arya (de) rr ODND DNDNADAWDDOD COOCCOO Fenn TNNNN ANAND MNO SH HH 1D 191919019 1D OOOO cOoOr-r-tf = AMMA CONC MMOD SDHHDHH Hott Hdd Hdd YI Yaw VSS SYS HS SHH oH HNANNANN NANNN ANNAN ANNAN ANNAN ANANNN ANNNN ANNQNNN ANNNN ANANQNN ANQNNQNN AQANNNSA a | p@Q@QSNMQ MMO WDNWSH BMOQHS HMHOH CAMO WAAMQH QYAAD WONAY AVONA AATONM AON IVen) re EODDND ANNAN DDNADD ANANNNN AADSS ANANNMHM ODOC ON Fenn DWM MNMMN MMNMMN ANNAN MCDM ANNO OCH MOCO OD CIO CCID HH HHO CAM COO 1919010190190 OWMOMOOD Orh-hrh MOD CID CD MCD ONC CD CO CD CD CM oD HANNNAN NANNN ANNANNN ANANNN ANNAN ANNNN AQNAQNN AQNNQNQNNN AQANQNNSN ANNAN ANNAN ANNAN ee | wQMIBQWO NOH QOS MOWAN HQYOHA ABWOHY AHA NAGNY OHA’ WAeNAe qAweng oawer =H DNDDHD DAAMWMD AROOS COCOON Fenn ANNNN AMMO MOM HH H19N19 19190190 1ND CODOO hee re Seas Aan ARNNN ANNANNN ANNAN ANNNANN ANNAN ANNAN ANNAN NANNNANNNNN ANNAN HANANNANN NANNN ANNAN ANANN ANNAN ANNNN ANNANN ANNQNNN ANAQNN ANQNQNN ANNAN ANNAN 5a TABLE [ Le t° B A a? oe a cc. ho Sa 0 | 90 0.0 1|89 0.0 2/88 0.0 3 | 87 0.0 4 | 86 90.0 5 | 85 0.0 6 | 83 59.9 7 | 82 59.9 8 | 81 59.9 9 | 80 59.9 10 | 79 59.9 11 | 78 59.9 12 | 77 59.9 13 | 76 59.9 14 | 75 59.9 15 | 74 59.9 16 | 73 59.9 17 | 72 59.9 18 | 71 59.9 19 | 70 59.8 20 | 69 59.8 21 | 68 59.8 22 | 67 59.8 23 | 66 59.8 24 | 65 59.8 25 | 64 59.8 26 | 63 59.8 27 | 62 59.8 28 | 61 59.8 29 | 60 59.8 30 | 59 59.8 31 | 58 59.8 32 | 57 59.8 33 | 56 59.8 34 | 55 59.8 35 | 54 59.8 36 | 53 59.8 37 | 52 59.8 38 | 51 59.8 39 | 50 59.8 40 | 49 59.7 41 | 48 59.7 42 |47 59.7 43 | 46 59.7 44 | 45 59.7 45 | 44 59.7 46 | 43 59.7 47 | 42 59.7 48 | 41 59.7 49 | 40 59.7 50 | 39 59.8 51 |38 59.8 52 | 37 59.8 53 | 36 59.8 54 | 35 59.8 55 | 34 59.8 56 | 33 59.8 57 | 32 59.8 58 | 31 59.8 59 | 30 59.8 60 | 29 59.8 61 | 28 59.8 62 | 27 59.8 63 | 26 59.8 64 | 25 59.8 65 | 24 59.8 7 | 1758 | 90.0 7 | 1758 | 90.0 7 | 1758 | 90.0 7 | 1759 | 90.0 7 | 1759 | 89.9 6 | 1760 | 89.9 6 | 1760 | 89.9 6 | 1761 | 89.9 6 | 1763 | 89.9 6 | 1763 | 89.9 6 | 1765 | 89.8 6 | 1766 | 89.8 6 | 1768 | 89.8 6 | 1769 | 89.8 6 | 1771 | 89.8 6 177s | S87 6 | 1775 | 89.7 6 | 1777 | 88: F 6 | 1780 | 89.7 6 | 1783 | 89. 7 6 | 1785 | 89. 7 6 | 1788 | 89.6 6 | 1791 | 89.6 6 | 1794 | 89. 6 6 | 1798 | 89.6 5 | 1801 . 6 5 | 1805 . 6 5 | 1808 io 5 | 1812 . 5 5 | 1816 . 5 | 1820 a) 5 | 1825 . 5 5 | 1830 8 5 | 1835 .5 4 | 1840 . 4 4 | 1845 . 4 4] 1851 . 4 4 | 1856 . 4 4} 1861 . 4 4 | 1868 . 4 4 | 1874 | 89.4 4 | 1880 | 89.3 4 | 1887 | 89.3 4 | 1894 | 89.3 3 | 1901 | 89.3 3 | 1909 | 89.3 3 | 1916 | 89.3 3:| 1925 | 389.3 3 | 1933 | 89.3 3 | 1941 | 89.2 3 | 1950 | 89.2 3 | 1959 | 89. 2 2 | 1969 | 89.2 2 | 1979: | 89.2 2] 1989 | 89.2 2 ; 2000 ee 2 | 2010 . 2 2 | 2022 . 2 2 | 2034 . 2 2 | 2046 Rul 2 | 2059 Bal 2 | 2072 Lil 2 | 2086 . 1 1 | 2102 bil 1 | 2116 Bal 1 | 2132 bell K 2° G) Gas ie 21 +? occ 26 | 1457 | 90.0 0 26 | 1457 | 90.0 1 26 | 1458 | 89.9 2 26 | 1458 | 89.9 3 26 | 1458 | 89.9 4 26 | 1459 | 89.8 5 26 | 1460 | 89.8 6 26 | 1460 | 89.8 7 26 | 1462 | 89.7 8 26 | 1463 | 89.7 9 26 | 1464 | 89.7 10 26 | 1465 | 89.6 11 25 | 1467 | 89.6 12 25 | 1469 | 89.6 13 25 | 1470 | 89.5 14 25 | 1472 | 89.5 15 24 | 1475 | 89.4 16 24 | 1476 | 89.4 17 24 | 1479 | 89.4 18 24 | 1481 | 89.3 19 23 | 1484 | 89.3 20 23 | 1487 | 89.3 21 23 | 1490 | 89.3 22 22 | 1493 | 89.2 23 22 | 1497 | 89.2 24 21 | 1500 | 89. 2 25 21 | 1503 | 89.1 26 21 | 1507 | 89.1 27 20 | 1511 | 39,1 28 20 | 1516 | 89.0 29 20 | 1520 | 89.0 30 20 | 1524 | 89.0 31 19 | 1529 | 88.9 32 19 | 1534 | 88.9 33 18 | 1539 | 88.9 34 18 | 1544 | 88.9 35 17 | 1549 | 88.8 36 17 | 1555 | 88.8 37 16 | 1560 | 88.8 83 16 | 1566 | 88. 7 39 16 | 1573 | 88. 7 40 15 | 1579 | 88. 7 41 15 | 1586 | 88.7 42 14 | 1593 | 88.6 43 14 | 1600 | 88.6 44 13 | 1608 | 88. 6 45 13 | 1616 | 88.6 46 12 | 1624 | 88.5 47 12 | 1632 | 88.5 48 11 | 1640 | 88.5 49 11 | 1649 | 88.4 50 10 | 1658 | 88. 4 51 10 | 1668 | 88.4 52 10 | 1678 | 88. 4 53 9 | 1688 | 88. 4 54 9 } 1699 | 88.4 55 8 | 1710 | 88.3 56 8 | 1721 | 88.3 57 7 | 1733 | 88.3 58 7 |.1745 | 88.3 59 7 | 1758 | 88.3 60 6 | 1771 | 88.3 61 6 | 1786 | 88. 2 62 6 | 1800 | 88. 2 63 5 | 1815 | 88.2 64 5 | 1831 | 88.2 65 {° L° b [o} / 0/90 0.0 1 |88 59.9 2 | 87 59.8 3 | 86 59.8 4 185 59.7 5 | 84 59.6 6 | 83 59.5 7 | 82 59.4 8 | 81 59.3 9 | 80 59.3 10 |79 59.2 11 | 78 59.1 12 |77 59.0 13 |76 59.0 14 | 75 58.9 15 | 74 58.8 16 | 73 58.8 ee 25 Sk7 18 |71 58.6 19 |70 58.5 20 |69 58.5 21 | 68 58.4 22 |67 58.4 23 | 66 58.3 24 | 65 58.2 25 | 64 58.2 26 |63 58.1 27 |62 58.1 25 |61 58.0 29 | 60 58.0 30 | 59 58.0 31 |58 57.9 32 |57 57.9 33 |56 57.8 34 |55 57.8 35 | 54 57.8 36 | 53 57.8 Soy eye 38 151 57.7 39 |50 57.7 40 | 49 57.7 Al | 48 57.7 42 | 47 57.7 43 | 46 57.6 44 | 45 57.6 45 | 44 57.6 46 |43 57.5 A7 | 42 57.6 48 | 41 57.7 49 | 40 57.7 50 | 39 57.7 51 | 38 57.7 52 | 37 57.7 53 |36 57.7 54 | 35 57.8 55 | 34 57.8 56 | 33 57.8 57 | 32 57.8 58 | 31 57.9 59 | 30 57.9 “60 | 29 58.0 61 | 28 58.0 62 | 27 58.0 63 | 26 58.1 64 | 25 58.1 65 | 24 58.2 TABLE I 3° C 60 | 1281 60 | 1281 60 | 1281 .0 | 0} 9 | 59 | 1282 HSH 59 | 1282 8 59 | 1283 Al 59 | 1284 va 59 | 1284 6 | 58 | 1286 6 I 58 | 1287 ont 5S | 1288 .5 | 57 | 1289 4 | 57 | 1291 4 57 | 1292 3 | 56 |1294 |89.3 f 56 | 1296 Kon 55 | 1298 1 54 | 1301 .1¢ 54 | 1303 il 53 | 1305 0 | 52 | 1308 Wi) 52 | 1311 9 f 51 | 1314 of 50 | 1317 84 50 | 1321 St 49 | 1324 7a AR | 1327 Noe) 47 | 133 6 46 | 1335 . 6 F 46 | 1339 55 45 | 1344 44 | 1348 43 | 1353 5 | 5 SE AI 2 | 1358 4f A1 | 1363 Oa 40 | 1368 Poul 20 1378 Ou 38 | 1379 24 37 | 1385 Que 36 | 1391 1 35 | 1397 Pie 34 | 1403 Of 33 | 1410 Of 32 | 1417 Of 31 | 1424 9] 30 | 1482 29 | 1439 28 | 1448 27 | 1456 98 .8§ 8 | .8 | 26 | 1464 lal 25 | 1473 ae | 24 | 1483 ey 23 | 1492 64 22 | 1502 64 20 | 1512 6 20 | 1523 5 19 | 1534 OF 18 | 1545 5 17 | 1557 15 16 | 1569 4 15 | 1582 we! 14 | 1596 4 13 | 1609 4 12 | 1624 23 12 | 1639 ng 11 | 1656 LS 5b Sze L° ri ae 1156 0 106 | 1156 | 89.9 1 106 | 1157 | 89.9 2 106 | 1157 | 89.8 3 105 | 1158 | 89.7 4 105 | 1158 | 89. 7 | 5 105 | 1159 | 89.6 6 104 | 1160 | 89.5 7 104 | 1161 | 89.4 8 103 | 1162 | 89.4 9 103 | 1163 | 89.3 10 102 | 1164 | 89.2 11 101 | 1166 | 89.2 12 100 | 1168 | 89.1 13 100 | 1169 | 89.0 | 14 99 | 1171 | 89.0 | 15 98 | 1174 | 88.9 16 97 | 1176 | 88.8 | ive 96 | 1178 | 88.8 | 18 OFal TISTUSS iy, 19 94 | 1183 | 88. 6 | 20 92 | 1186 | 88.6 wil 91 | 1189 | 88.5 | 22 90 | 1192 | 88. 4 | 23 88 | 1196 | 88. 4 24 87 | 1199 | 88.3 25 86 | 1203 | 88. 2 | 26 84 | 1208 | 88. 2 | 27 SOO TITOMESS. Tt 28 Sig) 12a Sean 29 79 | 1219 | 88.0 | 30 73 | 1223) Sie On| 3 76 | 1228 | 87.9 32 FAA 1233) ("Sasn 33 TN TORS | Sr Se 34 Tl eal eSaurall 3! 69 | 1248 | 87.6 | 36 68 | 1254 | 87.6 37 66 | 1260 | 87.5 38 64 | 1266 | 87.5 39 62 | 1272 | 87.4 40 60 | 1279 | 87.4 | Aq 58 | 1285 | 87.3 | 42 57 | 1292 | 87.3 | 43 55 | 1299 | 87. 2 | 44 FSM ESOTe ne eee 45 FATS S7eedie 46 4Ou iTSOSh Sel 47 47 183 eSzi0 48 48 | 1339 | 87.0 | 49 44 | 1348 | 86. 9 50 42 | 1357 | 86.9 51 40 | 1367 | 86.8 | 52 Boul Tar sees 53 36 | 1387 | 86.8 |! 54. 35 | 1398 | 86.7 55 33 | 1409 | 86.7 56 32 | 1420 | 86.6 57 30 | 1432 | 86.6 58 28 | 1445 | 86. 6 | 59 26 | 1454 | 86.5 60 25 | 1471 | 86.5 61 23 | 1485 | 86.5 62 22 | 1499 | 86.4 63 20 | 1515 | 86.4 64 19 | 1530 | 86. 4 65 Table i a en ee e e 42 5°? 6° rr Le b A Crm D A C | 2 ae ier Tee” te, bly | sgn enna e, | aia ot a Who, it GH Tm a (3) 0|90 0.0 166.| 1060 |90.0490 0.0} 239] 981 | 90.0 0 1 |88 59.8 166 |1060 |89.9] 88 59.7; 238] 981 | 89.9 1 2 |87 59.5 165 |1060 |89.8 |87 59.3] 238] 981 | 89.8 2 3 |86 59.3 165 |1060 |89.7186 59.0| 238] 981 |89.7 3 4 |85 59.1 165 |1061 |89.7] 85 58.7} 237 | 982 | 89.6 4 56 ||8843 5588..96 116644 ||11006612 || 8899..56 5588..0|4 223366 || 998832 ||8899..54 5 6 7 |82 58.4 163 |1063 |89. 4 57.7 235 | 984 |89.3 7 89 ||8810 5588..20 116622 ||11006654 || 8899..32 5577..14 223334 || 998856 ||8899..12 8 9 10 |79 57.8 161 |1066 | 89.1 56.8| 231 | 987 |89.0 10 11 |78 57.5 160 |1068 | 89.0 56.5| 230] 989] 88.9 11 12 |77 57.3 158 |1069 | 89.0 56.2| 228] 990 | 887 12 1134 ||7756 5576..19 115576 ||11007713 || 8888..98 5555..69|| 222256 || 999924 ||8888..65 1143 15 |74 56.7 154 |1075 | 88.7 55.3] 222 | 996) 884 15 16 |73 56.5 153 |1077 | 88.6 55.0| 220] 998 |883 16 17 |72 56.3 152 |1079 | 88.5 54.7 218 |1000 |88.2 17 18 |71 56.1 150 |1981 | 88.5 54.4 216 | 1003 | 88. 1 18 19 |70 56.0 148 |1084 | 88.4 54.2 213 | 1005 | 88.0 19 20 |69 55.8 146 | 1087 | 88.3 53.9 210 | 1008 | 87.9 20 21 |68 55.6 144 |1090 |88. 2 53.7 208 |1011 |37.8 21 22 |67 55.4 142 |1093 | 88.1 53.4 205 |1014 | 87.7 22 23 |66 55.3 140 |1096 |88. 0 53.2} 202 | 1017 |87.6 23 24 |65 55.1 138 |1099 | 88.0 53.0 199 |1020 |87.6 24 25 |64 55.0 136 |1102 | 87.9 52.8 196 |1023 |87.5 25 26 |63 54.8 134 |1106 | 87.8 52.5 193 |1027 |87. 4 26 27 |62 54.7 131 |1110 | 87.7 52.3 189 |1031 |87.3 27 28 |61 54.6 129 |1114 | 87.6 52.2 186 |1035 |87.2 28 29 |60 54.4 127 |1118 | 87.6 52.0 182 |1039 |87.1 29 30 |59 54.3 124 |1122 | 87.5 51.8 179 |1043 |87.0 30 31 |58 54.2 122 |1127 | 87.4 51.6 175 |1048 |86.9 31 32 |57 54.1 119 |1131 | 87.3 51.5 171 |1052 |86.8 32 33 |56 54.0 116 |1136 | 87.3 51.4 168 |1057 |86.7 33 34 |55 53.9 114 |1141 | 87.2 51.2 164 |1062 |86.6 34 35 |54 53.8 11i |1146 | 87. 1 51.1 160 |1067 |86.6 35 36 |53 53.8 108 |1152 | 87.1 51.0 156 |1073 | 8& = 36 37 |52 53.7 106 |1157 | 87.0 50.9 152 |1078 |86.4 37 38 |51 53.6 103 |1163 | 86.9 50.8 148 |1084 |86.3 38 39 |50 53.6 100 |1169 | 86.8 50.8 144 |1050 |86.2 39 40 |49 53.5 97 | 1175 | 86.8 50.7 140 | 1096 | 86.1 40 4412 ||4487 5533..55 9914 ||11118829 || 8866..77 5500..66 113316 ||11110130 ||8866..10 4412 4434 ||4465 5533..54 8896 ||11129063 || 8866..56 5500..66 112237 ||11111274 ||8855..89 4443. 45 |44 53.4 83 |1210 | 86.5 50.6 119 |1131 |85.8 45 46 |43 53.4 80 | 1218 |86. 4 50.6 115 |1139 |85.7 46 47 |42 53.5 77 |1226 |86.3 142 50.6 111 |1147 |85.6 47 48 |41 53.5 74 |1234 |86.3 |41 56.6 107 |1155 |85.5 48 49 |40 53.5 71 | 1243 |86.2 |40 50.6 102 |1164 |85.5 49 5510 ||3398 5533..56 6685 || 11226512 ||8866..12 ||3398 5500..87 9984 ||11118728 ||8855..34 E51 52 |87 53.6 63 |1271 |86.1] 37 50.8 90 |1191 |85.3 52 53 |36 53.7 60 |1280 |86.0 |36 50.9 86 | 1201 | 85.2 53 54 |35 53.8 57 |1290 |86.0 |35 51.0 82 |1212 |85.1 54 55 |34 53.8 54 | 1301 |85.9} 34 51.1 78 |1222 |85.1 55 56 |83 53.9 52 |1312 |85.9 |33 51.3 74 | 1233 | 85.0 56 57 |32 54.0 49 |1324 |85.8 |32 51.4 70 |1245 |85.0 57 58 |31 54.1 46 |1336 |85.8 |31 51.5 67 |1257 |84.9 58 59 |30 54.2 44 |1348 |85.7 |30 51.7 63 |1269 | 84.9 59 60 |29 54.3 41 |1361 |85.7 |29 51.8 59 |1282 |84.8 60 61 |28 54.4 39 | 1374 |85. 6 |28 52.0 56 | 1295 | 84. 7 61 62 |27 54.6 37 |1388 |85.6 |27 52.2 52 | 1309 | 84.7 62 63 |26 54.7 34 |1403 |85.5 |26 52.4 49 | 1324 | 84.7 63 64 |25 54.8 32 |1418 |85.5 |25 52.6 46 |1339 |846) 64 65 |24 55.0 30 |1434 |85.5124 52.8 42 |1355 |84. 6 65 TasueE | ce me cla I to L° D A Cwm b A 6! 7 Bd el | NOME /ai cn Ea Tmt acl,7a) Tae he |Pe OTE Ol MI PaRLRIG. MOT LaannaIn, Sioa e OL ean peste 0/90 0.0 325 | 914] 90.0}90 0.0 425 | 856 | 90.0 0 1 |88 59.5 325 | 914 | 89.9 188 59.4 425 | 856 | 89.9 1 2 |87 59.1 324 | 914 |89.8 |87 58.8 424 | 857 |89.7 2 3 |86 58.7 324 | 915 |89.6186 58.2 424 | 857 |89.6 3 4 |85 58.2 323 | 915 |89.5 |85 57.6 423 | 857 |89.4 4 5 |84 57.8 322 | 916 |89.4 |84 57.1 422 | 858 |89.3 5 6 |83 57.3 321 | 916 |89.3} 83 56.5 420 | 859 |89.2 6 7 |82 56.9 320 | 917 |89.2 |82 55.9 418 | 860 | 89.0 7 89 ||8810 5566..40 331197 || 991198 || 8889.9.04| 8810 5554..38 441147 || 886612 || 8888..97 8 9 10 |79 55.6 315 | 921 | 88.8 |79 54.2 412 | 863 | 88.6 10 11 |78 55.2 313 | 922 | 88.7178 53.7 409 | 865 | 88.5 11 12 |77 54.8 311 | 924 | 88.5177 53.1 406 | 866 | 88.3 12 3176 54.3 308 | 925 | 88.4176 52.6 403 | 868 | 88.2 13 14 |75 53.9 306 | 927 | 88.3]75 52.1 400 | 870 | 88.1 14 ie ees 303 | 929 | 88.2 | 396 | 872 | 87.9 15 16 |73 53.2 300 | 931 | 88.1] 392 | 873 | 87.8 16 17 |72 52.8 297 | 933 | 87.9 | 388 | 876 | 87.6 17 18 |71 52.4 294 | 936 | 87.8 | 399 1 9878) (187. a 18 19 |70 52.1 290 | 938 | 87.7 | 379 | 881 | 87.4 19 20 |69 51.7 91 |68 51.4 92 |67 51.0 93 |66 50.7 24 |65 50.4 287 | 941 | 87.6 | 283 | 944 | 87.5 279 | 947 | 87.4 | 275 | 950 | 87.3 | 271 | 953 | 87.1 | Sse Sessa 20 370 | 886 | 87.1 21 365 | 889 | 87.0 22 359 | 392 | 86.9 23 354 | 896 | 86.7 24 95 |64 50.1 96 |63 49.8 97 |62 49.6 98 |61 49.3 29 |60 49.1 266 | 957 | 87.0} 262 | 960 | 86.9 258 | 964 | 86.8 | 253 | 968 | 86.7 | 248 | 972 | 86.6 348 | 899 | 86.6 25 342 | 903 | 86.5 26 336 | 907 | 86. 4 7 330 | 911 | 86.2 28 324 | 915 | 86.1 29 30 |59 48.8 31 |58 48.6 32 |57 48.4 33 |56 48.2 34 |55 48.1 243 | 977 | 86.5 | 238 | 981 | 86.4 | 233 | 986 | 86.3 | 228 | 990 | 86.2 | 223 | 996 | 86.1 | 318 | 919 |86.0 30 Sti) 928 ssi 9 31 305 | 928 | 85.7 32 298 | 933 | 85.6 33 291 | 938 | 85.5 34 35 |54 47.9 36 |53 47.8 37 |52 47.6 38 |51 47.5 39 |50 47.4 —~40 |49 47.3 41 |48 47.3 42 |47 47.2 43 |46 47.2 44 |45 47.1 218 | 1001 | 86.0 | 212 | 1006 | 85.9 | 207 | 1012 | 85.8 201 | 1018 | 85.7 | 196 | 1024 | 85. 6 190 | 1030 | 85.5| 184 | 1036 | 85. 4 179 | 1043 | 85.3 | 173 | 1050 | 85.2 168 | 1057 | 85.1 | 984 | 943 | 85.4 35 977 | 948 | 85.3 36 970 | 954 | 85.2 37 263 | 960 | 85.1 38 256 | 966 | 84.9 39 948 | 972 |84.8 40 241 | 979 |84.7 41 234 | 985 | 84.6 42 926 | 992 | 84.5 43 219 | 1000 | 84. 4 44 4456 ||4434 4477..11 AT |42 47.2 48 |41 47.2 49 |40 47.3 116526 || 11006752 || 8855..00 || 150 | 1080 | 84.9 | 145 | 1089 | 84.8 | 139 |1097 | 84.7 | 321014 ||11000175 || 8844..32 4465 197 | 1023 | 84.1 47 189 |1031 |84.0 48 182 | 1040 | 33.9 49 50 |39 47.3 5512 ||3387 4477..45 53 |36 47.6 54 |35 47.8 55 |34 47.9 56 |33 48.1 57 |32 48.3 58 |31 48.5 59 |30 48.7 60 |29 48.9 61 |28 49.1 62 | 27 49.4 6634 ||2265 4499..69 65 |24 50.2 133 | 1106 | 846 | 112238 || 11111255 || 8844..65 | 117 | 1135 | 84.4 | 112 | 1145 | 84.3 | 106 | 1156 | 84. 3 | 101 | 1166 | 84.2 96 | 1178 | 84.1 | 91 | 1190 | 84.1 | 86 | 1202 | 84.0 | 81 | 1215 | 83.9 | 76 | 1229 | 83.9 | 71 | 1242 | 83.8 | 6672 || 11227527 || 8833..87 | 58 | 1288 | 83.7 174 | 1049 | 83.9 50 116670 || 11006578 ||8833..87 5512 159° |1077 1183.6 53 146 | 1087 | 83.5 54 139 | 1098 | 83. 4 55 132 | 1109 | 83.4 56 125 | 1120 | 83.3 57 118 | 1135 | 83.2 58 112 | 1145 | 83.1 59 105 | 1158 | 83. 1 60 99 | 1171 | 83.0 61 3 | 1185 | 82.9 62 8817 || 11129195 ||8822..98 6643 75 | 1231 | 82.7 65 20143°°—4N—_2 oe eeee eSaeele. g +° 1 b ° / 0/90 0.0 1 | 88 59.3 2 |87 58.5 3 |86 57.8 4 |85 57.0 5 |84 56.3| 6 | 83 55.5 7 | 82 54.8 8 | 81 54.1 9 | 80 53.4 10 |79 52.7 11 | 78 52.0 12 |77 51.3 13 |76 50.6 14 |75 49.9 15 | 74 49.3 16 |73 48.7 17 |72 48.0 18 |71 47.4 19 |70 46.8 20 | 69 46.2 21 | 68 45.7 22 | 67 45.1 23 | 66 44.6 24 | 65 44.1 25 | 64 43.6 26 | 63 43.2 27 | 62 42.7 28 | 61 42.3 29 | 60 41.9 30 | 59 41.5 31 |58 41.1 32 |57 40.8 33 | 56 40.5 34 | 55 40.2 35 | 54 39.9 36 | 53 39.7 37 | 52 39.5 38 | 51 39.3 39 | 50 39.1 40 | 49 39.0 41 | 48 38.9 42 |47 38.8 43 |46 38.7 44 | 45 38.7 45 | 44 38.7 46 | 43 38.7 47 | 42 38.8 48 |41 38.8 49 |40 38.9 50 | 39 39.1 51 | 38 39.2 52 | 37 39.4 53 | 36 39.6 54 | 35 39.8 55 | 34 40.0 56 | 33 40.3 57 | 32 40.6 58 |31 40.9 59 | 30 41.3 60 |29 41.6 61 | 28 42.0 62 | 27 42.4 63 | 26 42.8 64 | 25 43.3 65 | 24 43.8 TABLE I 9° A C 538 | 806 0 538 | 806 8 537 | 806 tg 537 | 806 5 535 | 806 A 5341 807 na 532 | 808 a 530 | 809 9 528 | 810 7 5254) S11 6 5er| 82 ) 20.2 13 | 74 15.6 14 \73 4.3 US i ee Er4 16 | 70 42.4 17 | 69 32.0 18 | 68 21.8 19 | 67 12.0 20 | 66 2.6 21 | 64 53.5 22 | 63 44.8 23 | 62 36.4 24 | 61 28.5 25 | 60 20.9 26 | 59 13.8 BEN SO) Cal 28 | 57 0.7 29 |55 54.9 30 | 54 49.4 31 | 53 44.4 3 52 39.8 33 | 51 35.6 34 | 50 31.9 35 | 49 28.6 36 |.48 25.7 Si WAG 2ece 38 | 46 21.3 39 | 45 19.8 40 | 44 18.6 41 | 43 18.6 42 | 42 17.7 43 | 41 17.8 44 | 40 18.4 45 | 39 19.4 46 | 38 20.7 Al | 37 22.5 48 | 36 24.7 49 | 35 27.2 50 | 34 30.2 Sl |)asi aes 5P4 Er} ei/oll 53 | 31 41.2 o4 |30 45.5_ 55 | 29 50.3 56 | 28 55.3 57 | 28 0.7 58 | 27 6.4 59 | 26 12.4 60 | 25 18.7 61 | 24 25.3 62 | 23 32.1 63 | 22 39.3 64 | 21 46.7 65 | 20 54.3 35° A 8664 8660 8650 8634 8612 8582 8547 8506 8458 8405 8345 8280 8208 8132 8049 7961 7870 7773 7670 7563 7452 7338 7219 7096 6970 6841 6709 6574 6435 6295 6153 6008 5862 5715 5566 5416 5266 5114 4963 4810 4658 4506 4354 4203 4053 3962 3153 3607 3460 3316 3172 3032 2892 PATE) 2620 2487 2357 2230 2105 1983 1863 1748 1635 1525 1419 1315 TaBLe I Ces ° 241 | 90.0 | 241 | 89.3 242 | 88.6 PY) MW eth 3) 242 | 37.2 | 243 | 86. 5 | 244 | 85.8 245 | 85. 1 | 246 | 84. 4 DAG ESouNl 248 | 83.1 | 249 | 82.4 } 251 | 81.7 | 253 | 81.0 | 255 | 80. 4 | Way |) TSS + 259 | 79.1 | 261 | 78. 4 f XG |} Yo > | 266_ CUBR 268 | 76. 5 | PAIL NTS 8S) | RUA WoES | PETE N TS Ok: 2S lle 284 | 73. 5 288 | 72.9 } 292 | 72.4 | OAS | 7, 3005) 7103) | 304 | 70. 7 | 308 | 70. 2 | 313 | 69.6 § 318 | 69. 1 | 323 | 68. 6 § 328 | 68. 1 | 333 | 67. 6 | 339 | 67. 2 | 345 | 66. 7 ool | 66.2 | 357 | 65.8 | 364 | 65. 3 | 370 | 64.9 | 377 | 64. 5 | 384 | 64.1 392) Rosia} 400 | 63.3 } 408 | 62.9 ; 416 | 62.5 424 | 62.1 433 | 61.8 443 | 61.4 452 | 61.1 462 | 60.8 472 | 60.5 483 | 60. 2 494 | 59.9 505 | 59.6 Slt’ ||GL 530 | 59. 0 542 | 58.8 556 | 58. 5 570 | 58. 3 584 | 58.0 600 | 57.8 Goma 21 36° | t? ee a S i A Pe ° 9204 231 | 90.0 0 9200 231 | 89.3 1 9191 231 | 88.5 2 9173 23 87. 8 3 9148 PRs) | etfs, I 4 9118 232 | 86. 4 5 9079 Pps || isp, 7 6 9035 234 | 84.9 U 8984 235 | 84. 2 8 8925 236 | 83.5 9 8861 PEST || teas te 10 8791 239 | 82.1 11 8714 240 | 81. 4 12 8631 242 | 80. 7 13 8543 244 | 80.0 14 8449 246 | 79. 4 15 8351 248 | 78. 7 16 8246 250 | 78. 0 17 8137 WARS. |) Us B 18 8022 PAKS || TOs 19 7904 258 | 76.0 20 7781 PX || sy, 2 ilk 7652 264 | 74.8 22 7520 PROV || 1 74 23 7387 BOD NB, 24 (247 Q2TA \W7259 25 7106 PHU | (A 26 6961 PAB NN CAle C 27 6814 PRT. || Te 28 6664 289 | 70.6 29 6513 293 | 70.0 30 6358 298 | 69. 5 31 6202 302 | 68.9 32 6046 307 | 68. 4 ae 5887 312 | 67.9 34 5727 317 | 67.4 35 5566 32 66. 9 36 5405 328 | 66. 4 37 5244 334 | 65. 9 38 5082 340 | 65. 4 39 4920 347 | 65.0 40 4759 353 | 64. 5 Al 4597 360 | 64. 1 42 4437 367 | 63.6 43 4277 374 | 63. 2 44 4118 3960 3804 3549 3496 381 | 62.8 45 389 | 62. 4 | 46 397 | 62.0 47 405 | 61.6 48 414 ! 61.3 49 3345 423 | 69. 9 50 3195 432 | 60.6 51 3047 441 | 60.2 52 2903 451 | 59.9 53 2760 462 | 59.6 54 2620 472 | 59.2 55 2482 483 | 58.9 56 2348 495 | 58.6 NS 2216 507 | 58. 4 58 2087 EMIS) ji)ays i 59 1962 532 | 57.8 60 1839 545 | 5126 61 1719 559) | owes 62 1604 ES | S76 1 63 1492 589 | 56.9 64 1383 605 | 56.6 65 PS v ERo a Ms 22 L° +° b fe) ¥ 0/190 1 | 88 2 | 87 3 | 86 4 | 84 06.0 44.9 29.8 14.7 59.8 5 | 83 6 | 82 7 | 81 fooelptcll) 9 | 78 44.9 30.2 15.6 3 1174 47.0 10 | 77 33.0 11 | 76 19.2 12 |S. “5.8 13 | 73 52.6 VAN aoa. 15 16 7 18 tele | 71 | 70 BGO | 67 66 272 15.0 oak: 51.7 40.6 20 | 65 30.0 21 | 64 19.7 22 |63 9.9 23 | 62 0.6 24 | 60 51.7 25 | 59 43.2 26 | 58 35.2 PE MASE PAfleth 28 | 56 20.7 29 | 55 14.2 30 | 54 8.2 ol |aa) e226 32 | 51 57.6 33 | 50 53.0 Se: 49 49.0 35 | 48 36 | 47 37 | 46 38 | 45 39 | 44 45.4 42.4 39.8 37.7 36.2 40 41 42 43 was | 43 | 42 | 41 | 40 39 35.1 34.5 34.3 34.7 35.5 45 | 38 36.7 46 | 37 38.4 47 | 36 40.6 48 | 35 43.2 a 40 34 46.2 50 | 33 51 | 32 52 | 31 53 | 31 aie: 30 49.6 53.5 57.8 2.4 7.4 55 | 29 56 | 28 57 | 27 5) 26 59 | 25 12.9 18.6 24.8 31.3 38.1 60 | 24 45.2 61 | 23 52.7 62) 28. 0:5 opilerera atsih0 64 | 21 16.9 65 | 20 25.5 TABLE | NT3T° Ie b 9765 9762 9750 9732 9706 9672 9630 9583 9528 9465 9396 9321 9239 9150 9055 8954 8848 8736 8619 8496 8369 8237 8100 7959 7815 7667 7516 7362 7204 7045 6882 6718 6552 6385 6216 6046 5875 5704 5532 5361 5188 5017 484 4676 4507 4338 4171 4005 3842 3680 3520 8362 3206 3053 29038 255 2610 2468 2329 2194 2061 1932 1807 1684 1567 1452 ° ° ie 221 | 90.0490 0.0 221 | 89.2 | 88 43.9 221 | 88. 5 | 87 27.8 221 | 87.7 | 86 11.7 222 | 87.0 | 84 55.7 222 | 86.2 | 83 39.9 223 | 85.5 | 82 24.2 224 | 84.8} 81 8.6 225 | 84.0 | 79 53.3 226 | 83.3 | 78 38.1 227 Nae. Di dose 229 | 81.8 | 76 8.6 230 | 81.1 | 74 54.3 232 | 80.4 | 73 40.2 234 | 79.7 | 72 26.6 PBS I TEES A See 238 | 78.3 170 0.3 240 | 77.6 | 68 47.7 242 | 76.9 | 67 35.5 245 | 76.2 | 66 23.8 248 | 75.5 250!) 74.9 253 | 74.2 257 | 73.6 260 | 73.0 165 164 | 62 | 61 460 12.5 1.7 51.3 41.4 32.0 263 | 72.3 159 23.1 267 | 71.7458 14.7 Z| flee eas 275 | 70.5 | 55 59.4 279 | 69.9 354 52.6 283 | 69.4 | 53 46.3 287 | 68.8 | 52 40.5 292 | 68.2 | 51 35.2 297 | 67.7 450 30.5 302 | 67.2 | 49 26.3 307 | 66.6 § 48 22.6 313 | 66.1 4 47 19.4 318 | 65.6 |46 16.8 324 | 65.1 4 45 14.7 330 | 64.6 | 44 13.2 336 | 64.2 | 43 12.1 343) 632001 42) PS 349 | 63.2 | 41 11.5 356 | 62.8 | 40 11.9 364 | 62.4 1 39 12.9 371 | 62.0 1 38 14.3 379 | 61.5 | 37 16.2 387 | 61.1 § 36 18.6 395 | 60.8 |.35 21.4 404 | 60.4 | 34 24.7 412 | 60.0 422 | 59.6 431 | 59.3 441 | 59.0 451 | 58.6 | 33 | 32 | 31 | 30 | 29 28.4 32.6 37.1 42. 47.5 462 | 58.3 | 28 53.3 473 | 58.0 | 27 59.5 484 | 57.7427 6.0 496 | 57.4 | 26 12.9 509 | 57.1 4 25 20.2 522 | 56.9 | 24 27.8 535 | 56.6 | 23 35.7 549 | 56.4 | 22 44.0 563 | 56.1 | 21 52.6 579 | 55.9} 21 1.4 595 | 55.7 | 20 10.6 / A 88° Cae n/w4 ° 10347 10343 10331 10310 10283 211 | 90.0 211 | 89.2 Ath ‘88. 4 211 |S iae 212 | 86.9 =©PWN 10247 10202 10151 10091 10025 2125) 43640 213 | 85.3 214 | 84.6 215 | 83.8 216 | 83.0 O©CDrONT 9951 9870 9782 9687 9584 PAU Oe SS 2192S 220 | 80.8 222 | 80.0 PPL Po), 3 fpfeedkedk©PWN 9477 9362 9242 9117 8986 226 | 78.6 228 | F78 230" sede 232 | 76.4 2357 | road 8849 8708 8562 8412 8258 238 | 75. 0 241 | 74. 4 243° |\-vama 247 \"f340 250 | 72. 4 8100 7938 7774. 7606 7435 253" ewe 257 || aedeee 261 | 70.5 265 | 69.9 269 | 69.3 7263 7088 6911 6733 6554 273 NOsaw 278 | 68.1 282 | 67.5 287 | 67.0 292 | 66.4 6374 6192 6010 5827 5646 5463 5281 5101 4920 4740 297 | 65.9 303 | 65.3 308 | 64.8 314 | 64.3 320 \nGgae 326 63. 3 333 | 62.9 340 | 62. 4 347 | 62.0 354 | 61.5 4562 4386 4211 4039 3867 361 || G18 369 | 60. 7 377 | 605s 385 | 59.9 Res 394 | 59.5 3699 3532 3369 3206 3047 403 | 59.1 412 | 58.7 421 | 58. 4 431 | 58.0 441 | 57.7 2892 2739 2590 2444. 2301 452 | 57.4 AGS | 578 475 | 56.8 486 | 56.5 499 | 56.2 2162 2026 1894 1766 1643 1522 512 | 55.9 525 | 55.7 539 | 55.4 554 | 55.2 569 | 54.9 585 | 54.7 ¢° 39° L° b A fo) / 0/960 0.0 1 | 8&8 42.8 2 | 87 25.6 3 | 86 8.5 4 ) 84 51.5 5 | 83 6 | 82 kel 8 | 79 9 | 78 34.6 17.9 aes 45.0 28.8 10 | 77 13.0 1 | v5) 57.4 12 | 74 42.2 Sw indict) Died Web | ey ileal 15 | 70 58.6 16 | 69 44.8 17 | 68 31.5 18 | 67 18.6 19 | 66 6.2 20 | 64 54.3 21 | 63 42.8 22 | 62 31.8 23 | 61 21.4 24 | 60 11.5 25°) 59 26 | 57 27 | 56 28 | 55 29 | 54 2.1 53.3 45.6 37.2 30.1 30 | 53 23.5 31 | 52 17.4 32 | 51 11.9 33 |50 7.0 34 | 49 2.7 35 | 47 58.9 36 | 46 55.6 37 | 45 53.0 38 | 44 50.9 39 | 43 49.3 40 |42 48.2| 41 | 41 47.8 42 | 40 47.9 43 | 39 48.4 ess 38 49.5 45 | 37 46 | 36 47 ' 35 48 | 34 49 | 34 51.1 53.3 55.9 58.9 2.5 50 | 33 51 | 32 52 | 31 53 | 30 54 | 29 6.5 11.0 15.9 21.2 27.0 Si) ||243) aa 56 | 27 39.8 57 | 26 46.8 58 | 25 54.1 59 | 25 1.8 60 |24 9.9] 61 | 23 18.3 G25 22201 63-| 21 36.1 64 | 20 45.5 65_|.19 55.2 10950 10946 10932 10911 10880 10842 10795 10739 10676 10604 10524 10438 10343 10241 10132 10017 9894. 9765 9630 9490 9345 9194 9038 8877 8713 8544 8373 8197 8018 7837 7653 7468 7279 7090 6899 6708 6516 6322 6130 5937 5743 §552 5360 5169 4980 4792 4605 44231 4238 4059 3881 3705 3532 3362 3195 3032 2871 2714. 2560 2410 2264 2122 1983 1849 1719 1592 201432°—40——3 TABLE [ 23 40° nere A Car De ° 11575 192 | 90.0 (6) 11570 192 | 89. 2 I! 11555 192 | 88.3 2 11532 193 | 87. 5 3 11501 193 | 86. 7 4 11458 194 | 85.8 5 11408 194 | 85.0 6 11349 195 | 842 Uf 11280 196 | 83.3 8 11203 197 | 82.5 9 11118 199 | 81. 7 10 11025 200 | 80. 9 11 10923 202 | 80.1 12 10814 PAO.) 72)5 2: 118% 10698 205 | 78. 5 14 10573 ZOTAR 15 10443 209 | 77.0 16 10306 PAIL | 7G 117/ 10161 2A ia 5 18 10012 216 | 74.7 19 9856 219 | 74.0 20 9695 SPY | 73%, 83 21 9529 DPR N72, (8 22 9358 228 | 71.8 23 9182 PR |) FA 24 9003 235 | 70.5 25 8820 238 | 69.8 26 8631 242 | 69.1 27 8442 246 | 68.5 28 8249 250 | 67.9 29 8053 DARL GVA 30 7856 259 | 66.6 31 7657 264 | 66.0 32 7456 268 | 65. 4 3353 7254 273 | 64.9 34 7050 279 | 64.3 35 6846 284 | 63. 7 36 6641 290 | 63. 2 3570 64388 295.) 62) 38 6233 SOL |N62.2 39 6029 | 308 | 61.7 40 5826 Biles eal, Ye 41 5625 321215605 7 42 5423 328 | 60. 2 43 §223 335 | 59.8 44 5025 342 | 59.3 45 4828 350 | 58. 9 46 4634 358 | 58. 5 47 4442 366 | 58. 1 48 4252 Bx) || Be 49 4065 384 | 57.3 50 3881 393 | 56.9 51 38699 403 | 56.5 52 3520 AL? 56-2 53 3345 423 | 55.8 54 SIL ASS) Poon 55 3004 AAA | SOO, 56 2840 456 | 54.9 57 2678 468 | 54.6 58 2521 480 | 54 3 59 2367 | 493 | 540 60 2218 506: | -53. 7 61 2073 yA Gey & 62 1933 35 || Se 63 1796 5502/2535. 0 64 1665 566s eo2ne 65 24 Tasue | t L° b | | 41° A C Z' | | | 90 0.0) 12222 183 88 40.5) 12216 183 le.)] bo= - i—) 12202 183 86 1.7) 12177 184 ©PW84N42.4} 12142 184 83 23.3 | 12097 185 82 4.3) 12044 185 ; ooi—] > Or i-r) 11980 186 79 27.1} 11906 187 OO 78 8.9} 11824 188 10 | 76 51.0) 11734 190 11 | 75 33.4| 11633 191 12 | 74 16.2) 11524 193 13 | 72 59.5| 11407 194 14 | 71 43.1 | 11282 196 15 | 70 27.2| 16 |69 11.8} 11149 198 11010 | 200 17 | 67 56.8| 10863 202 18 | 66 42.4) 10709 | 205 19 |65 28.5| 10549 | 207 20 | 64 15.2} 10382 | 210 21/63 2.5} 10211 213 22 | 61 50.3) 10033 | 216 23 | 60 38.7 24 | 59 27.7 9851 219 9665 | 222 NOCR W©OOrRRNOOOPNWO!D 25 | 58 17.4 9473 | 226 aS 26 |57 7.6 9278 | 229 iad 27 | 55 58.5 9079 | 233 are 28 | 54 50.1 8876 | 237 ee: 29 | 53 42.2 8672 | 241 of 30 | 52 35.0 8465 | 246 ns) 31 | 51 28.5 $255 | 250 gs 32 | 50 22.6 8044 | 255 .3 33 | 49 17.3 7831 259 nd 34 | 48 12.7 7616 | 264 sal 35 |47 8.7 7401 270 .5 36 |46 5.4 7185 | 275 ao 37 |45 2.6 6969 | 281 4 38 |44 0.5 6753 287 8 39 | 42 59.0 6536 | 293 3 40 | 41 58.1 6321 299 8 41 | 40 57.9 6107 | 305 as) 42 | 39 58.2 5894 | 312 LS 43 | 38 59.1 5682 | 319 3 44 | 38 0.5 5471 326 Me) 45 | 37 2.5 5263 | 334 4 46 |36 5.1 5056 | 341 . 0 47,35 8.2 4850 | 349 -6 48 | 34 11.9 4649 | 358 oul 49 | 33 16.0 4449 | 366 ine 50 | 32 20.7 4252 | 375 3 51 | 31 25.9 4059 | 384 wg 52 | 30 31.5 3867 | 394 . 6 53 | 29 37.6 3680 | 404 ae 54 | 28 44.2 3496 | 414 no 55 | 27 51.3 3316 | 424 a3) 56 | 26 58.7 3138 | 436 er 57 |26 6.6 2965 | 447 eo 58 | 25 14.9 2797 | 459 .6 59 | 24 23.6 2632 | 471 3 60 | 23 32.7 2472 | 484 .0 61 | 22 42.1 2316 | 497 . 8 62 | 21 51.9 2164 | 511 oO 63 | 21 2.0 2017 | 526 na 64 | 20 12.5 1874 | 541 . 0 65 ' 19 23.3 1737 | 557 | 51.8 | | | — bo10)~J—_ —_boJ (=)—_ — ~Jon ie.) bo sOP¢ NM = ~JJ ie) jor) wes 12368 12261 12144 12020 —_— ioe)o9)or) 181 | 81 182 | 80. 184 | 79. 186 | 78. — lee)oo ~J H©PON OCDr ONT rH 12 13 —_ts sa.u pmbWcNaaikipcpdasaeiln 10925 | 201 | 72.9 20 10742 | 204 | 72.1 21 10553 | 207 | 71.4 22 10359. | 211 | 70.6 23 10160 | 214 | 69.9 24 9956 | 217 | 69.2 25 9749 | 221 | 68.5 26 9537 | 225 | 67.8 27 9323 | 228 | 67.1 28 9106 | 235 | 66.4 29 8885 | 237 | 65.8 30 8663 | 241 | 65.1 31 8438 | 246 | 64.5 32 8213 | 251 | 63.9 33 7986 | 256 | 63.3 34 7759 | 261 | 62.7 35 7531 266 | 62. 1 36 7303 | 272 | 61.5 37 7073 | 278.) 61.0 38 6846 | 284 | 60.5 39 6619 | 290 | 59.9 40 6393 | 297 | 59.4 41 6168 | 303 | 58.9 42 5945 | 310 | 58.4 43 5723 | 317 | 58.0 44 5503 | 325 | 57.5 45 5286 | 333 | 57.1 46 5071 | 340 | 56.6 47 4858 _ 349 | 56.2 48 4649 | 357 | 55.8 49 4442 | 366 | 55.4 50 4238 | 375 | 55.0 51 4039 | 385 | 546 52 3842 | 395 | 54.3 53 3649 | 405 | 53.9 54 3460 | 416 | 53.6 55 3275 | 427 | 53.3 56 3095 | 438 | 52.9 57 2917 | 450 | 52.6 58 2745 | 462 | 52.3 59 2578 | 475 | 52.1 60 2414 | 489] 51.8 61 2256 | 503 | 51.5 62 2102 |°--S517 [Yok 3 63 1954 | 533 | 51.0 64 1810 | 549! 50.8 65 Tasue I 25 t° 43° 44° +? L° b A C Ti b A C Z! fo} / fo) / 0|90 0.0 13587 166 | 90.0 |90 0.0 14307 158 | 90.0 0 1 | 88 38.0 13581 166 | 89.1 | 88 36.6 14300 158 | 89.0 1 2 | 87 16.0 13564 166 | 88. 1 | 87 13.2 14282 158 | 88.1 2 3 | 85 54.1 13535 167 | 87.2 | 85 50.0 14252 5O Siew fy 4 | 84 32.3 13495 167 | 86.3 | 84 26.9 14208 159 | 86.1 4 5 | 83 10.7 13444 168 | 85.4183 3.9 14154 160 | 85. 2 § 6 | 81 49.3 13382 169 | 84.4 |]81 41.2 14087 161 | 84. 2 6 7 | 80 28.2 13308 169 | 83.5 | 80 18.8 14008 161 | 83.3 Uf 8 | 79 7.3 13224 170 | 82.6 | 78 56.7 13918 162 | 82.3 8 9 | 77 46.8 13129 172 | 81.7177 35.0 13817 164 | 81. 4 9 10 | 76 26.7 13025 173 | 80.8 | 76 13.6 13705 165 | 80.5 10 11 |75 7.0 12911 174 | 79.9 | 74 52.7 13581 166 | 79.6 11 12 | 73 47.7 12786 176 | 79.0 | 73 32.3 13448 168 | 78.6 2 13 | 72 28.8 12652 177 | 78.2 | 72 12.4 13305 169 | 77.7 13 14 | 71 10.5 12510 179 | 77.3 | 70 53.0 13153 171 | 76.9 14 15 | 69 52.7 12357 181 | 76.4 | 69 34.2 12991 173 | 76.0 15 16 | 68 35.5 12198 183 | 75.6 | 68 16.0 12820 15 || 73, al 16 17 | 67 18.8 12029 185 | 74.8 | 66 58.4 12641 178 | 74. 2 17 18 | 66 2.7 11855 188 | 73.9 | 65 41.5 12454 180 | 73. 4 18 2 dg 64 47.3 11672 190 | 73.1 | 64 25.3 12259 SZ Aiea 19 20 | 63 32.5 11483 193 .3 163 9.7 12058 185 | 71. 7 20 21 | 62 18.4 11288 196 .5 | 61 54.8 11850 188 | 70.9 21 22 \61 4.9 11087 199 . 7 160 40.7 11637 191 | 70. 1 22 23 (| 59) 52.2 10880 202 .0 759 27.3 11416 194 | 69.3 23 24 | 58 40.1 10669 205 2158 14.7 11191 197 | 68.6 24 25 | 57 28.7 10453 209 5 157 2.8 10961 201 | 67.8 25 26 | 56 18.1 10231 212 ~8 | 55 51.7 10727 204 | 67.1 26 27 |155 8.1 10008 216 .1 454 41.3 10489 208 | 66.3 27 28 | 53 58.9 9780 220 .4 9753 31.8 10248 212 | 65.6 28 29 | 52 50.4 9549 224 .7 7152 23.0 10003 216 | 649 29 30 | 51 42.7 9316 229 .O 1 51 14.9 9756 221 OA? 30 31 | 50 35.7 9080 Zao 3450 7.7 9507 225 | 63. 6 Si 32 | 49 29.4 8843 238 70 (iSn La} 9255 230 | 62.9 32 33 | 48 23.8 8605 242 .1 4 47 55.5 9004. 234 | 62.3 33 34 | 47 18.9 8364 248 .5 1 46 50.5 8750 239 | 61.6 34 35 | 46 14.8 8124 253 .9 4145 46.3 8496 245 | 61.0 35 36 | 45 11.3 7883 258 .3 § 44 42.9 8242 250 | 60. 4 36 37 | 44 8.6 7642 264 . 7 143 40.2 7988 256 | 59.8 337/ 38 | 43 6.6 7401 270 . 1 | 42 38.2 7734 262 | 59.3 38 39 | 42 5.2 7161 276 .6 | 41 36.9 7481 267 2585 7 39 40 | 41 4.5 6922 282 . 1 | 40 36.3 7229 QIAN ose 2 40 41 | 40 4.5 6683 288 .5 § 39 36.5 6979 280 | 57.6 Al 42 |39 5.1 6447 295 .0 | 38 37.3 6730 DSN BG dl 42 43 | 38 6.4 6212 302 .5 § 37 38.8 6483 294 | 56.6 43 44 | 37 8.3 5979 309 .1 4 36 40.9 6238 301 | 56.1 44. 45 | 36 10.8 5747 317 .6 #35 43.7 5996 309 | 55. 7 45 46 | 35 13.9 5520 324 .1 | 34 47.2 5756 SLGT Pod. 2 46 47 | 34 17.6 5294 332 571) S33 Gil 5520 324 | 548 47 48 | 33 21.9 5071 341 .3 4 32 55.9 5286 Sa2 | 54.3 48 49 | 32 26.8 4850 349 .9 732 1.1 5056 341 | 53.9 49 50 | 31 32.2 4634 358 -5 731 6.9 4828 350 | 53. 5 50 51 | 30 38.1 4421 367 .1 | 30 13.3 4605 SY) |) Geb I 51 52 | 29 44.6 4211 377 . 7} 29 20.2 4386 369 | 52. 7 52 53 | 28 51.6 4005 387 .3 | 28 27.6 4171 379 | 52.4 53 54 | 27 59.1 3804 397 .0 | 27 35.6 3960 3897 |po2.0 54 ins) | Ate EAD) 3607 408 | 52.6 | 26 44.0 Soe 400 | 51.7 55 56 | 26 15.4 3413 418 | 52.3 | 25 53.0 3552 410 | 51.3 56 57 | 25 24.3 3223 430 | 52.0 4725 2.4 3354 422 | 51.0 57 58 | 24 33.6 3039 442 | 51.7 | 24 12.2 3162 434 | 50.7 58 59 | 23 43.4 2859 454 Bode 4 j 23 22.5 2974. 446 | 50. 4 59 60 | 22 53.5 2684 AGT) Toa 2273322 2792 459 | 50.1 60 61 | 22 4.0 2514 481 | 50.8 | 21 44.3 2614 473 | 49.8 61 62 | 21 15.0 2349 495 | 50.5 | 20 55.8 2442 487 | 49.5 62 63 | 20 235.3 2189 509 | 50.3 | 20 7.7 2275 501 | 49.3 63 64 | 19 37.9 2033 524 | 50.0 419 20.0 2113 516 | 49.0 64 65 ! 18 49.9 1883 540 | 49.8 118 32.6 1957 532 | 48.8 65 26 TABLE I $° ibe b eo Tt 2. 0/90 1 | 88 2 | 87 3 | 85 4 | 84 90.0 35.2 10.4 45.7 21.1 5 | 82 56.8 6 | 81 32.7 7 |80 9.0 8 | 78 45.5 9 | 77 22.5 10 | 75 11 | 74 12) Wo. 13 | 71 14 | 70 59.9 37.8 Lose 55.1 34.6 15 | 69 14.8 16 | 67 55.6 17 | 66 37.1 18 | 65 19.3 19 | 64 2,2 20 | 62 45.8 21 | 61 30.2 22 | 60 15.4 23 |59 1.4 24 | 57 48.2 25 | 56 35.8 26 | 55 24.2 27 | 54 13.5 28 153 3.5 29 | 51 54.4 “30 31 32 33 34 | 50 | 49 | 48 | 47 | 46 46.1 38.6 32.0 26.1 21.1 35 | 45 16.9 36 | 44 13.4 37 | 43 10.7 38 | 42 08.8 39 | 41 7.7 40 | 40 Alaa) 42 |38 43 | 37 44 | 36 7.2 420 8.6 10.3 12.8 45 | 35 15.9 46 | 34 19.6 47 |}33 24.0 48 | 32 29.0 49 | 31 34.7 50 | 30 51 | 29 52 | 28 53 | 28 pa4 27 40.9 47.7 55.1 3.0 11.5 55 | 26 20.5 56 | 25 29.9 57 | 24 39.9 58 |:23 50.3 [s 50) ta. lee 60 | 22 12.5 61 | 2b 24-2 62 | 20 36.3 63 |.19 48.8 64 |19 1.7 65 | 18 14.9 45° 46° A C Z! b A C Z! ie hie irs c i ea a Ch Mt Mi MGlaa iL... | <= 15051 15045 15025 14991 14945 151 | 90.0490 0.0 151 | 89.0 | 88 33.6 151 | 88.0 187 7.3 151 | 87.0785 41.1 152 | 86.0 | 84 15.1 15823 15816 15794 15759 15709 143 | 90.0 143 | 89.0 143 | 87.9 144 | 86.9 144 | 85.9 14886 14815 14732 14635 14526 152 | 85.0 | 82 49.3 153 | 84.0 | 81 23.8 154 | 83.1479 58.6 155 | 82.1 478 33.7 156 | 81.1477 9.4 15646 15571 15480 15376 15261 145 | 848 145 | 83.8 146 | 82.8 147 | 81.8 148 | 80.8 14406 14275 14132 13980 138816 157 | 80.1 475 45.4 159 | 79.2 | 74 22.0 160 | 78.3 | 72 59.2 162 |e 37.0 164 | 76.4 170 15.3 15131 14990 14839 14676 14501 150 | 79.8 151 | 73.8 LDS ee 154 | 76.9 156 | 75.9 13644 13461 13270 13071 12865 166 | 75.5 | 68 54.4 168 | 74.6 | 67 34.2 170 | 73. 7 1 66 14.7 172 | 72.8 | 64 56.0 175 | 72.0 | 63 38.0 14317 14122 13919 13705 13485 158 | 75.0 160 | 74.1 162) |) fone 16D) gare 167 | 71.4 12650 12428 12200 11965 11727 C738) | wae il 180 | 70.3 183 | 69.5 186 | 68. 7 190 | 67.9 20.8 4.5 49.0 34.4 20.6 13256 13021 12779 1253h aie) 170 | WOES 173 | 69.6 176 | 68.8 179 | 68.0 182 | 67.2 11482 11234 10982 10726 10468 193 | 67.1 197 | 66.3 201 | 65.6 205 | 64.9 209 | 64.1 7.6 55.6 44,4 34.1 24.7 12018 11755 11486 11215 10942 186 | 66. 4 189 | 65.6 193 | 648 197 | 64.1 201 | 63.3 10206 9942 9677 9411 9143 213 | 63. 4 217 | 62.8 222 G2. « 227 | 61. 4 232 | 60.8 16.1 8.5 1.7 55.7 50.6 10666 10387 10107 9825 9544 206 | 62.6 210 | 61.9 2A) (GS 219 | 60.6 224 | 59.9 8875 8607 8340 8073 7807 237 | 60. 2 243 | 59.6 248 | 59.0 254 | 58.4 260 | 57.8 46.3 42.9 40.3 38.5 37.4 9261 8980 8697 8416 8137 230 | 59.3 235 | 58. 7 241 | 58.1 247 | 57.5 252 | 56.9 7542 7279 7017 6758 6501 266 | 57.3 213 || 56. 7 279 56: 2 286 | 55. 7 293 || 55. 2 dee ihlok 39.0 41.0 43.7 7859 7582 7308 7036 6767 259 | 56.4 265 | 55.8 272 | 55.3 279 | 54.8 286 | 54.3 6247 5996 5747 5503 5263 301 | 54. 7 47.2 309 | 54.3 51.3 317 | 53.8 § 32 56.1 S2aq Ga. 4altoe lca 330 | 53.07 31 . 7.6 6501 6238 5979 52a 5471 293 | 53.8 301 | 53.3 309 | 52.9 SLh | bea: 326 1) 52.10 5025 4792 4562 4338 4118 342 | 52.5 | 30 14.2 352 | 52.1 | 29 21.5 361 | 51.8 | 28 29.4 ov 1 OL 4 2a 30.8 381 | 51.0 | 26 46.8 5223 4980 4740 4507 4277 335 | 51.6 344 | 51.2 354 | 50.8 364 | 50. 4 374 | 50.0 3902 3692 3487 3285 3090 392 | 50.7 1.25 56.3 403 | 50.3425 6.3 414 | 50.0 | 24 16.9 426 | 49. 7 | 23 27.9 439 | 49.4 | 22 39.3 4053 3833 3618 3410 3205 384 | 49. 7 396 | 49. 4 407 | 49.0 419 | 48.7 431 | 48.4 2899 2715 2535 2362 2194 2031 451 | 49.1 | 21 51.2 465 | 48.8 |21 3.6 479 | 48.6 |]20 16.3 493 | 48.3 419 29.5 509 | 48.1 718 43.0 525 | 47.8 | 17 56.9 3007 2816 2629 2449 2275 2106 444 | 58.1 457 | 47.8 471 | 47.6 486 | 47.3 501 | 47.1 517 | 46.8 W©b HO e OOr MOTH TaBLe I 27 rr TS a 47° i A Ga az? b 48° Fr A © THEN ° / fo) fo) / °o 0/90 0.0| 16622) 136 /90.0}90 0.0] 17449| 129 | 90.0 0 1 |88 32.0| 16613 | 136 | 88.9] 88 30.3| 17440] 129] 88.9 1 2/87 4.1] 16592 | 136 | 87.9]87 0.8] 17416 | 129 | 87.8 2 34||8485 368..37|| 1166555040 || 113376] | 8856..78]]8854 312..30]| 1177331796] | 113300 || 8865..67 4 3 56 ||8812 4114..43|| 1166345313] | 113388 || 88437.16148812 334..14|] 1177214568 || 113311 || 8834.54 5 6 7|79 47.6| 16253 | 139 | 82.6479 361| 17054] 132 | 82.3 7 8 |78 21.4| 16143 | 140] 81.5178 8.3| 16936 | 133 | 81.2 8 9 |76 55.5| 16019 | 141] 80.5176 41.0| 16803 | 134 | 80.1 9 10 [75 30.2| 15882 | 142 | 79.5475 14.2) 16656 | 135 | 79.1 10 11/74 5.5| 15731 | 144| 784173 48.1] 16495 | 137 | 78.0 11 12 |72 41.4| 15568 | 145 | 77.4 }72 22.6] 16321 | 138 | 77.0 12 13 |71 17.9| 15394 | 147 | 76.4170 57.9] 16134 | 140 | 76.0 13 14 |69 55.1| 15208 | 149 | 75.5 169 33.8| 15935 | 142 |75.0 14 1156 |[6678 3131..07)| 1145800120 || 115513) | 7734..55116668 4180..26]; 1155752054 || 114464 || 7743..00 1165 17 |65 51.2| 14586 | 155 | 72.6465 26.6] 15272 | 148 | 72.0 ile? 1198 ||6643 3112..57]] 1144132594 || 115680] | 7701.8.7]46642 466..20|] 1145708311 || 115530 || 7701..11 1198 20 |61 54.7| 13882 | 163 | 69.9 | 61 27.4| 14522 | 156 | 69.2 20 21 |60 37.6| 13631] 166 | 69.0] 60 9.5] 14255 | 159 | 68.3 21 22 |59 21.4| 13373] 169 | 68.1|58 52.6| 13982 | 162 | 67.4 22 3158 6.1] 13108 | 172 | 67.3157 366| 13702] 165 | 66.5 23 94 |56 51.7| 12839 | 175 | 66.4156 21.7| 13416 | 168 | 65.7 24 2256 ||5545 2358..83|| 1122526866 || 117892 | 658.61|5553 547..77|| 1132182350| | 117725 ||6644.90 2256 27 |53 14.2| 12003 | 186 | 64.0] 52 42.7] 12530] 179 | 63.2 27 98 |52 3.5| 11716 | 190 | 63.3] 51 31.7| 12227| 183 | 62.5 28 29 |50 53.8| 11427 | 194 | 62.5 450 21.7| 11921 | 187 | 61.7 29 30 [49 45.0| 11135 | 198 | 61.8] 49 12.7| 11612 191 | 61.0 30 3312 ||4487 3370..12]] 1100854414 || 220037 || 6601.4.14| 4486 574..56]] 1110390921] | 210906 || 6509..25 3312 3334 ||4456 2149..10]| 109294581 || 221127 || 5599..17]] 4445 4561..24]| 1100637696] | 220150 ||5588.82 3334 35 |44 14.7| 9654 | 223 | 58.4] 43 42.0] 10053 | 215 | 57.5 35 36 |43 11.3] 9358 | 228 | 57.8 1} 42 38.7| 9740| 221 | 56.9 36 37 |42 8.8| 9060] 234 | 57.2} 41 36.2| 9429] 226 | 56.2 37 38 |41 7.1| 8766 | 239 | 56.6 | 40 34.7] 9120] 232 | 55.6 38 39 |40 6.2] 8472 | 245 | 56.0} 39 34.0| 8812 | 238 |55.0 39 40 |39 6.2| 8180 | 252 | 55.6138 34.2| 8506 | 244/545 40 41 |38 7.0| 7890 | 258 | 54.9137 35.2] 8202| 251 | 53.9 41 42/37 8.5| 7602] 265 | 54.3136 37.1| 7901 | 258 | 53.4 42 43 |36 10.8| 7318 | 272 | 53.8135 39.7| 7603 | 265 | 52.9 43 44 |35 13.9| 7036 | 279 | 53.3 134 43.1| 7308 | 272 | 52.4 44 45 |34 17.6| 6758 | 286 | 52.8133 47.3| 7017 | 279 | 51.9 45 4467 ||3332 2227..13]| 66428132-| | 230042 ||515.2.94']3312 5527..28}| 66743407| | 228975 || 5501..94 4467 48 |31 33.2| 5945! 310 | 51.4 6168 | 303 | 50.5 48 49 |30 39.7| 5682 | 319 | 51.0! 5894 | 312 | 50.0 49 50 |29 46.9| 5423 | 328 | 50.6 5512 |2|288 543..60|] 54912609| | 333477 || 5409..26]} 5625 | 321 | 49.6 50 55316000 || 333390 ||4498..28 5512 5534 ||2276 2112..50|| 44647367 || 335667 || 4499..14 || 44589476 || 335499/|48484.]1 5534 55 |25 31.6| 56 |24 42.2| 57 |23 53.3| 5598 ||2223 174..09|| 4203 | 377 | 48.7] 3974] 388 | 48.4 | 3751] 400 | 48.0} 33533243| | 441224 || 4477..741 | 4354 | 370 | 47.7 55 4117 | 381 | 47.4 56 3885 | 392 | 47.0 57 33645399 || 440147 || 4466..47 5598 ~ 60 |21 29.5| 3117 | 4387 [47.1] 21 7.4| 3226 | 430/461 60 6612 |2|109 4525..59]| 22792147|] 446540 ||4466..68111290 2315..10|] 32081198 || 444537 || 4455..68 6612 63 |19 9.7] 2536 | 479 |46.3]18 49.6] 2624] 472 |45.3 63 64 |18 23.9] 2355] 494] 461118 4.5] 2436] 487 |45.1 64 65/17 38.5| 2180| 510 |45.8417 19.7| 2255] 503 |44.8 65 : Table Il / 4 | Explana- tion of the Const : tion and Use of Tables Z 28 te Le b ——T U oO P 0;90 1 | 88 2 | 86 3 | 85 4 | 83 0.0 28.6 57.2 26.0 55.0 5 | 82 24.2 6 | 80 53.9 7 |79 24.0 8 | 77 54.5 9 | 76 25.6 10 | 74 57.4 11 | 73 29.8 2) i225 V2.9 13 | 70 36.8 14 | 69 11.5 15 | 67 47.0 16 | 66 23.5 17 |65 0.8 18 | 63 39.2 19 | 62 18.5 20 | 60 58.8 21 | 59 40.1 22 | 58 22.4 23 157 5.8 24 | 55 50.3 25 | 54 35.8 26 | 53 22.3 27 || 52,1939 28 | 50 58.6 29 |}49 48.3 30 | 48 39.1 31 | 47 30.9 32 | 46 23.7 33 | 45 17.5 34 | 44 12.3 35 |43 8.1 36 | 42 4.9 37 |41 2.6 38 | 40 1.2 39 | 39 0.8 40 | 38 1.2 41 | 37 2.5 42 |36 4.7 43 |35 7.7 44 | 34 11.5 45 | 33 16.0 46 | 32 21.4 AT ' 31 27.5 48 | 30 34.3 49 | 29 41.8 50 | 28 51 | 27 52) 20 53 | 26 54 | 25 50.0 58.8 8:0 18.4 29.1 55 | 24 40.4 56 | 23 52.2 57 | 23 4.6 58 | 22 17.5 59 | 21 30.9 60 | 20 44.7 61 | 19 59.1 62 | 19 13.8 €3 | 18 29.0 64 | 17 44.6 65 |17 0.6 5827 5551 5281 5017 4758 4506 4260 4019 3785 3557 3336 3120 2913 2712 2517 2330 TABLE I OF 314 | 48.6 323 | 48. 2 333 | 47.8 343 | 47. 4 2R2 | 47.1 364 | 46. 7 375 | 46. 4 386 | 46.0 398 | 45. 7 410 | 45. 4 423 | 45.1 437 | 44.8 451 | 44.6 465 | 44.3 480 | 44.0 496 | 43.8 Vil aor ya |pa 90. 0 .8 6 . 4 . 2 1 9 bf . 6 . 4 ne ae rl . O .9 9 .8 . 8 . 8 8 .8 9 .9 . O ie | 63. 3 62. 6 61.6 60. 8 60. 0 6030 5744 5463 5188 4920 4659 4403 4153 3910 3674 3445 owe 3007 2799 2598 2405 . 2 25 as .0 3 . 6 . O 4 ae Hu . oO . 0 4 .9 . 4 . 9 . 4 9 Au) . 0 307 | 47.6 317. | 47.2 326 | 46.8 336 | 46. 4 346 | 46. 0 357 | 45. 7 368 | 45.3 379 | 45.0 391 | 44.7 404 | 44, 4 417 | 44.1 430 | 43.8 444 | 43.5 459 | 43.3 474 | 43.0 490 | 42.8 t° L° 0 1 2 3 4 5 6 a 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Palp 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 t° L° 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 PAT 28 29 30 31 32 33 34 35 36 aie 38 39 40 Hs 41 5 42 5 43 0.8 44 5.5 45 | 32 11.0 46 | 31 17.3 47 ' 30 24.4 48 | 29 32.3 49 | 28 40.9 50 | 27 50.2 eae OL2 52 | 26 10.9 53 | 25 22.3 54 | 24 34.3 55 |23 46.9| 56 | 23 0.0 He | 2204320 58 | 21 28.0 59 | 20 42.8 60 | 19 61 | 19 62 | 18 63 | 17 64117 65 | 16 58.1 13.8 30.1 46.7 3.8 21.3 7807 7481 7161 6846 6536 6233 5937 5646 5361 5082 4810] 4545 4287 4036 3792 3554 3324 3101 2887 2678 2479 Tas_e [ b ° 7 90 0.0} 88 22.6 86 45.2] 85 8.1 183 31.2 81 54.7 80 18.7] 78 43.3) 77 8.5)| 75 34.4 74 11 72 28.7 70 57.2 69 26.7 67 57.2 66 28.8 165 1.6 63 35.5 62 10.6 60 47.0 .1 459 24.5 .1758 3.4 .2 | 56 43.5 : 55 24.9 -3 154 7.6 A | OM be |: . 9 gl Bie wi 25) 8 | Ss iLel 4 | Ta .O § 4 f 8 nel .6 | 0} . 4 . 9 4 260 | 48.9 268 | 48. 4 276 | 47.9 284 | 47. 5 293 | 47. 0 301 | 46.6 311 | 46.2 320 | 45.8 330 | 45. 4 § 340 | 45. 0 | 351 | 44.7 | 362 | 44.3 373 | 44.0 | 385 | 43. 7 | 398 | 43. 4 411 By, ab | a 424 | 42.8 5 437 | 42.5 452 | 42.3 fs 468 | 42.0 . 484 | 41.8 ; 29 52° A C te [AN Vi? (apcmMeemee n[e ealmGeaoal cae 21066 103 | 90.0 0 21055 104 | 88. 7 il 21022 104 | 87.4 2 20969 104 | 86.2 3 20894 105 | 84.9 4. 20797 105 | 83.6 5 20681 106 | 82.4 6 20543 LOG Pole Uf 20387 108 | 79.9 8 20213 109 | 78. 7 9 20019 110 | 77. 5 10 19808 ILA |) 7G}, 3 11 19580 iil} || 7/5, I 12 19337 Has) }) (7/8359) 13 19077 a7 || 74, 14 18805 119 | 71.6 15 18519 121 | 70.6 16 18219 123 | 69.5 iWé 17909 125 | 68. 4 18 17589 128 | 67. 4 19 17259 130 | 66.4 20 16919 133 | 65. 4 PA 16573 136 | 64. 4 22 16219 139 | 63. 4 23 15858 TAS AG2Z5 24 15493 146 | 61.6 25 15123 150 | 60. 7 26 14749 154 | 59.8 Pas 14372 158 | 59.0 28 13993 162 | 58.2 29 13612 166 | 57. 4 30 13230 171 | 56.6 31 12847 175 | 55.9 32 12465 180 | 55.1 33 12084 185 | 54.4 34 11704 190 | 53.7 35 11326 196 | 53.0 36 10951 201 | 52.4 37 10577 207 | 51.6 38 10207 ONS |) Gili 39 9841 219 | 50.6 40 9479 226 | 50.0 41 9119 232 | 49. 4 42 8766 239 | 48.9 43 8416 247 | 48.4 44 8073 254 | 47.9 45 7734 262 | 47. 4 46 7401 270 | 46 9 47 7073 278 | 46. 4 48 6753 287 | 46.0 49 64388 295 | 45.6 50 6130 305 | 45. 2 51 5827 314 | 448 52 5532 324 | 44.4 53 5244 304 | 44.0 54 4963 | 345 | 43.6 55 4688 356 | 43.3 56 4420 367 | 43.0 57 4161 Sh) |) 2R4 7 58 3909 392 | 42.3 59 3663 405 | 42.1 60 3426 418 | 41.8 61 3195 432 | 41.5 62 2973 446 | 41.2 63 2759 462 | 41.0 64 2553 478 | 40.8 65 30 TABLE [| +" Le 54° i b A C Z| T° meee aa emir Vaan (ies (eae eae (aia Sieg (aes c)aan (tac Tame aan eeacam ea ellliane (ej | 0|90 0.0} 22054 98 |90.0190 0.0] 23078 92 | 90.0 0 1 |88 20.3) 22042 98 | 88.7188 17.9| 23066 92 | 88.6 1 2 |86 40.7| 22006 98 | 87.3 186 36.0| 23028 92 | 87.3 2 3/85 1.4] 21950 98 | 86.0 |84 54.3] 22966 93 | 85.9 3 4 |83 22.3] 21868 99 | 84.71 83 12.9| 22879 93 | 84.5 4 5 |81 43.7| 21766 99 | 83.4181 32.0| 22769 94 | 83.2 5 6|80 5.6| 21640] 100 | 82.1179 51.7| 22632 94 | 81.6 6 7 |78 28.1! 21493 | 101 | 80.8]78 12.1| 22476 95 | 80.5 7 8 |76 51.3| 21326 | 102 | 79.5476 33.2| 22296 96 | 79.2 8 9 |75 15.3| 21138 | 103 | 78.3 ]74 55.2| 220904 97 | 77.8 9 10 |73 40.2} 20931 | 104 | 77.0[73 18.1] 21872 99 | 76.6 10 11 |72 6.0] 20704 | 106 | 75.8] 71 42.1| 21629 | 100 | 75.3 11 12 |70 32.8| 20460] 107 | 74.6170 7.1] 21368 | 102 | 74.0 12 13 |69 0.7] 20201 | 109 | 73.4168 33.4] 21090 | 103 | 72.8 13 14 |67 29.8| 19923 | 111 | 72.2167 0.9| 20795 | 105 | 71.6 14 15 |66 0.0; 19632 | 113 | 71.01 65 29.6) 20484 | 107 | 70.4 15 16 |64 31.4] 19328 | 115 | 69.9163 59.7| 20158 | 109 | 69.2 16 17|63 4.1] 19008 | 117 | 68.8 #62 31.2] 19820] 111 | 68.1 17 18 |61 38.1] 18679 | 119 | 67.7161 4.0] 19468 | 114 | 67.0 18 19 |60 13.4] 18338 | 122 |66.6 |59 38.3| 19104 | 116 | 65.9 19 20 |58 50.1| 17987 | 125 | 65.6458 14.0| 18732] 119 | 648 20 21 |57 28.1) 17627 | 128 | 64.6156 51.2] 18349 || 122 | 63.7 21 22 |56 7.5| 17257 | 131 | 63.6155 29.8| 17959 | 125 | 62.7 22 23 |54 48.2] 16883 | 134 | 62.6154 9.9] 17561 | 128 | 61.7 23 24 |53 30.3) 16501 | 137 | 61.6 |52 51.4] 17159] 131 | 608 24 25 |52 13.8| 16116 | 140 | 60.7451 34.4/ 16750|/ 135 | 59.8 25 26 |50 58.6| 15723 | 144 | 59.8 ]50 18.9! 16337] 138 | 58.9 26 27 |49 44.8| 15330] 148158.9]|49 4.8] 15920] 142 | 58.0 27 28 |48 32.3| 14932] 152] 58.1147 52.1] 15501] 146 | 57.1 28 29 |47 21.2| 14532 | 156 | 57.2 |46 40.7| 15081 | 150]| 56.3 29 30 |46 11.3| 14131 | 160 | 56.4145 30.8| 14660 | 155 | 55.5 30 31 |45 2.7] 13730] 165 | 55.6 }44 22.2| 14238] 159 | 54.7 31 32 |43 55.4] 13328] 169 | 54.9143 14.9] 13816 | 164 | 53.9 32 33 |42 49.3] 12928] 174] 541142 89] 13395] 168] 53.1 33 34 |41 44.4] 12528] 179 | 53.4 ]41 4.2] 12975] 173 | 52.4 34 35 |40 40.7| 12129 | 184] 52.7140 0.7) 12558| 179 | 51.7 35 36 | 39 38.2] 11734] 190 | 52.0138 58.4] 12144] 184 | 51.0 36 37 |38 36.7] 11340] 195 | 51.4137 57.3| 11734] 190 | 50.4 37 38 |87 36.4] 10951 | 201 | 50.8 |36 57.3] 11326 | 196 | 49.7 38 39 |36 37.1| 10564 | 207 | 50.1135 58.5| 10923 | 202 | 49.1 39 40 |35 38.9| 10181 | 213 |49.5135 0.7| 10523 | 208 | 48.5 40 41 | 34 41.7] 9803 | 220] 49.0134 3.9] 10130] 214 | 47.9 Al 42.|33 45.5| 9430 | 227 | 48.4133 82] 9741 | 221 | 47.4 42 43 |32 50.2| 9061 | 234 | 47.9132 13.4] 9358 | 228 | 448 43 44 |31 55.9 8697 | 241 | 47.3131 .19.7| 8980 | 235 | 46.3 44 45 |31 2.4| 8340| 248 | 46.8130 26.8| 8607 | 242 | 45.8 45 46 |30 9.8| 7988 | 256 | 46.3 }29 34.8] 8242] 250 | 45.3 46 47 |29 18.1 7642 | 264 | 45.9 728 43.7| 7883 | 258 | 44.8 47 48 |28 27.1 7303 | 272 |45.4127 53.4| 7531! 267 | 44.4 48 49 |27 37.0 6969 | 281 | 45.0]27 3.9| 7185 | 275 | 43.9 49 50.| 26 47.6| 6642 | 290 | 44.5 [26 15.2| 6846 | 284 | 43.5 50 51 |25 58.9| 6322 | 209 | 44.1125 27.2|. 6516 | 293 | 43.1 51 52 | 25 10.9 6010 | 308 | 43.7424 40.0| 6192 | 303 | 42.7 52 53° (24 23.71 5704:| 318 | 43.3 123 53.4|° 5875 | 313 (4aRe 53 54 |23 37.0| 5405 | 328 | 43.0723 7.5| 5566 | 323 | 41.9 54 55 |22 51.0 56 |22 5.6] 57 |21 20.8] 58 |20 36.5 __59 |19 52.8] 5114 | 339 | 42.6 |22 22.2| 4830] 350 | 42.3 |21 37.6] 4554] 362 | 41.9}20 53.5] 4286 | 373 | 41.6 |20 10.1 4025 | 386 |41.3 |19 27.1| 5266 | 333 | 41.6 4973 | 344 | 41.2 4687 | 356 | 409 4410 | 368 | 40.6 4141 | 380 | 40.3 55 56 57 4 58 59 60 |19 9.6| 3772 | 399 | 41.0118 44.7| 3880 | 393 | 40.0 60 61 | 18 26.9| 3527 | 412 | 40.7518 2.8} 3627] 406 | 39.7 61 62 | 17 44.7 3290 | 426 | 40.5 [17 21.3] 3383] 420 | 39.5 62 63 |17 2.9]. 3060] 441 | 40.2116 40.4] 3146] 434 | 39.2 63 64 | 16 21.5} 2840] 456 | 40.0115 59.8} 2918 | 450 | 39.0 64 65 |15 40.5| 2626] 472 | 39.7515 19.7 2700 | 466 | 38.7 65 TasBuE [| Bal Qe a b LOLS 55° A oo C lie Z’ ee OL 56° b A LON wat |ryt dt 4° C Pi L° aye al acOM aminoe 0;90 0.0 24141 87 .0 190 0.0 25244 81 | 90.0 0 1/88 15.4 24128 87 . 6 | 88 12.7 25229 81) 88. 5 1 2 | 86 31.0 24087 87 .1 4 86 25.6 25186 82 | 87.0 Z 3 | 84 46.8 24020 87 . 7 | 84 38.8 Ps lis? 82 | 85.6 So 4|83 2.9 23927 88 MOMMLOA Oe 25012 82 | 84.1 4 5 | 81 19.6 23807 88 .9 f 8l 6.5 24885 83 | 82.6 5 6 | 79 37.0 23663 89 .5 179 21.3 24728 84 | 81.2 6 7 | 77 55.0 23493 90 . 1 § 77 36.9 24547 85 | 79.8 a 8 | 76 13.9 23300 91 .8 | 75 53.5 24339 86 | 78. 3 8 9 | 74 33.8 23083 92 .4 474 11.2 24107 87 | 76.9 9 10 | 72 54.7 22845 93 11 | 71 16.7 22585 95 12 | 69 40.0 22306 96 13 |68 4.5 22008 98 14 | 66 30.4 21692 100 1 § .8 f 3) | Se .9 | 23850 88 | 75.6 10 23573 89 | 74.2 11 23274 91 | 72.9 12 22953 93 | 71.6 13 22616 95 | 70.3 14 15 | 64 57.6 21360 102 16 | 63 26.3 21012 104 17 | 61 56.5 20651 106 18 | 60 28.2 20277 108 19 | 59 1.4 19891 111 Ly | nS | .2 | wal 22261 96 | 69.0 15 21890 99 | 67.8 16 21505 101 | 66.6 17 21106 103 | 65. 4 18 20696 106 | 64.2 19 20 | 57 36.1 19495 114 21 | 56 12.5 19089 116 04 9 | 20275 108 | 63.1 20 19845 111 | 62.0 BAIL 22 | 54 50.4 18675 119 23 | 53 29.8 18255 11933 24 | 52 10.8 17827 126 .9 f . 8 our 19407 114 | 60.9 22, 18960 117 | 59.9 23 18508 121 | 58.9 24. 25 | 50 53.4 26 | 49 37.5 27 | 48 23.1 28 | 47 10.2 29 | 45 58.7 17396 16960 16521 16080 15636 129 | 5&9 § 133 | 58.0 | UB || B76) | 141 | 56.2 | 145 | 55.3 4 18052 OZ) yt) 25 17593 L285) 57. 0 26 17129 US2F 56a 27 16665 Ue |)By 2 28 16200 140 | 54.3 29 30 | 44 48.6 31 | 43 40.1 32 | 42 33.0 33 | 41 27.1 34 | 40 22.6 15194 14750 14308 13867 13428 149 | 54.5 | 154-535 7 158 | 52.9 | 163 | 52.1 | 168 | 51. 4 § 15734 144° \°53. 5 30 15268 148} 52.6 SL 14805 ifs) aes 32 14343 HST ole 33 13884 163 | 50.3 34 35 | 39 36 | 38 37 | 37 38 | 36 39 | 35 19.3 17.4 16.6 17.0 18.6 40 | 34 41 | 33 42 | 32 43 | 31 44 | 30 21.3 25.1 29.9 35.7 42.5 45 | 29 46 | 28 47°28 48 | 27 28) 26 50.3 58.9 8.5 18.8 30.1 50 | 25 42.1 51 | 24 54.8 52 | 24 - 8.3 53) ||63) PRs 54 | 22 37.4 55 56 57 58 __59 | 21 | 21 | 20 | 19 19 52.9 9.0 25.8 43.1 1.0 60 | 18 19.3 61 | 17 38.2 62 | 16 57.6 63 | 16 17.5 64 | 15 37.7 65 | 14 58.4 12992 12558 12129 11704 11283 10868 10458 10053 9654 9261 8875 8496 8124 7759 7401 7050 6708 6373 6046 5727 5416 5114 4820 4534 4257 3987 SDA 38475 3232 2998 2772 7 ONAN 179 | 50.0 § 184 | 49.3 § 190 | 48. 7 | 196 | 48. 1 | 202 | 47.4 § 209 | 46.9 § 216 | 46.3 § 223 | 45.8 | 230 | 45. 2 | 237 | 44. 7 | 245 | 44.2 | 253 | 43. 8 § AXSIL |, ZY Bi AO: 52) 279 | 42.6 288 | 42.0 297 | 41.6 307 | 41.2 317 | 40.9 328 | 40. 5 339 | 40.2 350 | 39.9 362 | 39.5 BD |) Bey 388 | 39. 0 401 | 38. 7 415 | 38.4 430 | 38. 2 445 | 37.9 461 |-37. 7 13428 168 | 49.6 35 12975 173 | 48. 9. 36 12528 179 | 48.3 37 12084 185 | 47.6 38 11646 | 191 | 47.0 39 DIS 197 | 46. 4 40 10786 204 | 45.8 41 10366 210 | 45. 2 42 9951 Diz || Beh 7 43 9544. 224 | 44,2 44 . 9143 232 | 43.6 45 8750 2AQ) P43: 2 46 8364 248 | 42. 7 47 7986 256 | 42. 2 48 7616 264 | 41.8 49 7254 Miss |) hl al 50 6899 283 | 41.0 51 6554 292 | 40.6 52 6216 302 | 40.2 53 5887 312 | 39.8 54 5566 323 | 39.5 55 §254 334 | 39.1 56 4951 345 | 38.8 57 4656 Ba, || Bes A 58 4371 33700) 4] Bish 59 4094. Bea NB) 60 3826 396 | 37.6 61 3567 410 |. 37. 4 62 BS! ADAM ode 63 3076 440 | 36.9 64 2844 455 |) 36.7 65 32 TasBLe I c 57° L° b A C Z’ ° / ° 0|;90 0.0; 26389 76 | 90,0 1|88 9.9] 26374 76 | 88 2 | 86 19.9} 26326 77 |-86.9 3 | 84 30.2| 26249 77 | 85.4 4 | 82 41.0| 26139 77 | 83.9 o 5 |80 52.e 5| i 26001 |[i78 |82/oi (ee 6|79 4.6| 25834] 79 | 80 7 |7717.7| 25638 | 80| 79 8 9 1110 |75 ||-77]02Ge ~2311a3..].58:6||-|—_ 25415 | i22w44)o58r—99_20(o]r|)(st) 81 | 77 o89O83b4o || J7753 12 |}68 40.8| 24271] 986 | 72 D OOOONNOR mm 3 | a 16 | 62 14.0} 22793 94 .0 17 |60 41.6} 22381 96 . 8 18 |59 10.8} 21956 98 . 6 19 |57 41.9} 21521 101 4 20 | 56 14.8} 21074 | 103 we 21 | 54 49.4) 20617 | 106 aa 22 |53 25.9] 20152] 109 . O 23 |}52 4.1] 19680} 112 . O 24 | 50 44.1 | 19202 116 ~9 25 |49 25.8} 18720] 119 58° A C Z’ ° 27579 72 | 90.0 27563 72 | 88.4 27512 72 | 86.8 27428 72 | 85. 2 27309 73 | 83.6 2222276666197526862519089 |||| 7777|_3456_77 |||||8877720759.....15490 222555962649448 ||| 788081] ||777413...560 t? L° 0 1 2 3 4 5 6 7 8 9 111102 24141 87 | 67.5 —1—5— 23718 89 | 66.2 16 23281 91 | 649 17 22829 93 | 63. 7 18 22364 96 | 62.5 19 21889 99 | 61.3 20 21404 | 101 | 60.2 21 20911 104 | 59.1 22 20413 | 108 | 58.0 23 19908 | 111 | 56.9 24 19401 114 | 55.9 25 28 |45 41.3] 17259] 1830 17860 | 126 | 53.1 28 29 |44 29.8| 16770} 135 17347 | 1380 | 52.2 29 30 |43 19.8) 16281 139 16834 | 134 | 51.3 30 31 |42 11.4] 15793 | 143 16321 139 | 50.5 31 32 |41 4.5] 15307] 148 15813 | 143 | 49.7 32 33 | 39 59.1} 14824 | 153 15307 | 148 | 48.9 33 34 | 38 55.2} 14343 158 9.3) 14805 | 153 | 48.2 34 35 | 37 52.6| 13867 | 163 5 7.1} 14308 | 158 | 47.5 35 36 | 36 51.4] 13395 168 ; 6.4; 13816 | 164 | 46.8 36 37 | 35 51.5] 12928] 174 : 7.0| 13328 | 169 | 46.1 37 38 | 34 52.8] 12465] 180 ‘ 8.9| 12847 | 175 | 45.4 38 39 | 33 55.4} 12009 | 186 | 45. 12.0 | 12373 181 | 44.8 39 40 | 32 59.2| 11558 192 | 45.3 |32 16.4) 11905 | 187 | 44.2 40 41 |32 4.1) 11115] 199 | 44.7131 22.0] 11443 194 | 43.6 41 42 |31 10.1| 10678 | 205 | 44.1 |30 28.7] 10991 | 201 | 43.0 42 43 |30 17.2| 10248 | 212 | 43.6] 29 36.5] 10544 | 207 | 42.5 43 44 | 29 25.4 9825 | 219 | 43.1 |28 45.3} 10107 | 215 | 42.0 id 45 | 28 34.5 9411 | 227 | 42.6 | 27 55.2 9677 | 222 | 41.5 45 46 | 27 44.5 9004 | 235 | 42.1 ]27 6.0 9256 | 230 | 41.0 46 47 |26 55.5 8605 | 243 | 41.6 |26 17.8 8843 | 238 | 40.5 47 48 |26 7.4 8213 | 251 me: 8438 | 246 | 40.1 48 4S | 25 20.1 7831 | 259 ie 8044 | 255 | 39.6 49 50 | 24 33.6 7456 | 268 A 7657 | 264 | 39.2 50 51 | 23 48.0 7090 | 278 LS 7279 | 273 | 38.8 51 52 |23 3.0 6733 | 287 . 5 6911 | 282 | 38.4 52 53 | 22 18.8 6385 | 297 yt 6552 | 292 | 38.0 53 54 | 21 35.3 6046 | 307 .8 6202 | 302 | 37.7 54 55 | 20 52.5 5715 | 318 | 38.4 |20 21.5 5862 | 313 | 37.3 55 56 | 20 10.3 5394 | 329 | 38.1 ]19 40.1 5531 | 324 | 37.0 56 57 |19 28.7 5082 | 340 | 37.8 |18 59.4 5210 | 335 | 36.7 57 58 | 18 47.7 4778 | 352 | 37.4 ]18 19.3 4899 | 347 | 36.4 58 59 |18 7.2 4484 | 365 | 37.1 ]17 39.7 4596 | 360 | 36.1 59 60 | 17 27.3 4199 | 377 | 36.9]17 0.7 4304 | 373 | 35.8 60 61 | 16 47.9 3924 | 391 | 36.6 |]16 22.2 4021 | 386 | 35.5 61 62 |16 9.0 3658 | 405 | 36.3 |15 44.2 3748 | 400 | 35.3 62 63 |15 30.6 3401 | 419 | 36.1]15 6.6 3483 | 415 | 35.0 63 64 |14 52.6 3153 | 435 | 35.9 | 14 29.5 3230 | 430 | 34.8 64 65 | 14 15.0 2915 | 450 | 35.6 113 52.8 2985 | 446 | 346 65 L° 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Wael 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 | 14 65 | 13 TaBLeE I 0.0 0.0 0.3 1.0 2.3 4.5 LAC Pepe 8.0 5,4 33 4° Sek NONE Pin ° 62 | 90.0 0 63 | 88.3 1 63 | 86.5 2 63 | 84.8 3 64 | 83.1 4 64 |} 81.4 5 65 | 79.7 6 66 | 78.1 7 67 | 76. 4 8 68 | 74.8 9 69 | 73.3 10 TL) 7s 7/ 11 72 | 70.2 12 74 | 68.7 13 76 | 67.3 14. 78 | 65.9 15 80 | 64.5 16 82) | bes L 17 84 | 61.8 18 87 | 60.6 | 19 89 | 59. 4 | 20 92 | 58.2 21 95 | 57.0 22 98 | 55.9 23 102 } 54.8 24 105 | 53.8 25 109 } 52.8 26 113 | 51.8 27 117 | 50.9 28 121 | 50.0 29 125 | 49.1 30 129 | 48.3 31 134 | 47.5 32 139 | 46. 7 33 144 | 45.9 34 149 | 45.2 oD 155 | 44.5 36 160 | 43.8 37 166 | 438. 2 38 172 | 42.5 39 178 | 41.9 40 185 | 41.3 41 191 | 40.8 42 198 | 40.3 43 206 | 39. 7 44. 213 | 39.2 45 221 | 38.8 46 229 | 38.3 47 FOB || BiG fst 48 246 | 37. 4 49 254 | 37.0 50 264 | 36.6 51 273 | 36.2 52 283 | 35.9 53 293 | 35.5 54 304} 35.2 55 315 | 349 56 326 | 345 57 338 | 342 58 351.) 34. 0 59 364 | 33. 7 60 Sii7/ |) Sek Ge 61 391 | 33.2 62 405 | 32.9 63 ADAG ES 2u 64 ASimocne 65 NSiSCpsi 34 t° 1° b- ° 7 61° A 0/90 1 | 87 2 | 85 3 | 83 4 | 81 0.0) 56.3) 52.8 49.8 47.6 31448 31422 31356 31249 31103 5 | 79 6 | 77 7 | 75 8 | 73 9 | 71 10 | 70 11/68 12 | 66 13 | 64 14 | 62 46.2] 46.1 47.3 | 50.0} 54.5; 0.8 9.1 19.5| 32.2 47.0| 30912 30684 30418 30116 29778 29410 29012 28584 28132 27656 15 | 61 4.3 16 | 59 23.8] 17 | 57 45.8 18 | 56 10.2} 19 | 54 37.0| 20 | 53 6.2 21 | 51 37.7| 22 | 50 11.6| 23 | 48 47.8 24 | 47 26.2) 27159 26645 26112 25566 25007 24488 23859 23274 22683 22089 25 |46 6.9 26 | 44 49.7) 27 | 43 34.6| 28 | 42 21.5 29 | 41 10.4 30 | 40 1.2 31 | 38 53.9 32 | 37 48.4 33 | 36 44.6 34 | 35 42.4 21493 20895 20296 19700 19106 18516 17927 17347 16770 16200 35 | 34 41.9 36 | 33 42.9 of | 32 45.3 38 | 31 49.2 39 | 30 54.5 15636 15081 14532 13993 13460 40 | 30 1.1 41 | 29 8.9 - 42 | 28 18.0 43 | 27 28.2 44 | 26 39.5 45 | 25 51.9 46 | 25 5.3 47 |24 19.6 48 | 23 34.9 49 | 22 51.1 0) | 22 esr2 51 | 21 26.1 52 | 20 44.7 53 | 20 4.1 54] 19 24.2 55 | 18 45.0 56 |18 6.5 57 | 17 28.6 58 | 16 51.2 59 | 16 14.5 60 | 15 38.2 61 |15 2.5 62 | 14 27.3 638 | 13 52.5 64 | 13 18.2 65 112 44.3 129388 12425 11921 11427 10942 10468 10003 9549 9106 8672 8249 7837 7435 7045 6664 6295 5937 5588 §252 4925 4608 4304 4009 3726 3453 3190 TABLE [ C Z! b ° ° / 62° A C Z’ <5 58 | 90.0490 58 | 88. 2 58 | 86. 4 59 | 846 59 | 82.8 60 | 81.1 Gla 795 GUNS 7.0 6247.9 64 | 74.2 65 | 72.6 66 | 71.0 68 | 69. 4 69 | 67.9 71 | 66. 4 0.0] §2.2| 32839 32815 44.8} 32746 37.8 | 32631 31.7 32468 26.6 | 22.8} 20.6 | 20.1 Pai ee EN 32264 32015 31726 31399 ell OBI7/ 24.9 30639 30.5 30209 38.5 | 29750 48.8 fea 29263 28aoe 54 | 90.0 54 | 881 54 | 86.2 55 | 844 55 | 82.5 56 | 80. 7 56 | 78.9 St Wee 58 | 75.3 59 | 73.6 61 | 71.9 62 | 70.3 64 | 68.6 65 | 67.1 67 | 65. 5 OPONE OC©CDn ONT 73 | 65.0 75 | 63.6 ComG252 80 | 60.9 83 | 59. 6 85 | 58.3 tel || Ha A 91 | 55.9 94 | 54.8 Ol eoonul 17.1 28222 35.0 27670 55.6 27104 18.8} 26520 44.5 | 25926 12.9 25321 43.7 | 24708 17.1 24087 52.9 23463 31.1 22836 69 | 64.0 71 | 62.6 ia | 61.2 76 | 59.8 78 | 58.5 Si) aee2 84 | 56.0 87 | 54.8 907) Saag 93 | 52.6 IOiL |):ys 76 LOS Pons 7 108 | 50. 7 112 | 49. 7 116 | 48.8 121. | 47.9 IPAS |facSe | 130 | 46. 3 135 | 45. 5 140 | 44.7 11.6 | 22207 54.4 | 21577 97 | 51.5 100 | 50.5 39.4 20950 | 104 | 49.5 26.6 20322 108 | 48.6 15.8 19700 112 | 47.6 7.0 19082 117 Le 0.1 18469 121 am) 5.1 17860 126 ll 1.8 17259 130 3 0.3 | 16665 136 6 145 | 44.0 150 | 438.3 156 | 42.6 162 | 42.0 168 | 41. 4 0.4 16080 141 8 aoe 15501 146 1 5.4 14931 152- As 0.1 14371 158 . 8 6.2 13820 164 ee 174 | 40.8 3.6 180 | 40. 2 Deed 187 | 39.6 aes 194 | 39.1 43.4 201 | 38.6 55.6 209 | 38.1 8.9 PAMGY|) Bes (8) 23.3 | 224 | 37.2 4 23 38.6 233 | 36. 7 2 54.9 241 | 36.3 | 22 12.0 250 | 35.9 | 21 30.1 259 | 35.5 | 20 48.9 269.) 35.1 420 8.6 279 | 34.8 719 28.9 289 | 34.6 | 18 50.0 300 | 34.1 $18 11.8 BLIL |) 23s teal |lle) 64bs? 322 | 33.5 | 16 57.3 334 | 33.2 | 16 21.0 346 | 32.9 | 15 45.2 359 | 32.6715 9.9 373 | 32.4414 35.2 387 | 32.1414 1.0 401 | 31.9 416 | 31. 7 432 | 31.5 413 27.2 #12 53.8 #12 20.9 13280 12747 12228 11716 ay 10726 10248 9780 9323 8876 8442 8018 7606 7204 6814 6435 6067 5711 5365 5031 4708 4395 4094 3804 3525 3256 170 . 6 176 . O 183 es) 190 .9 197 JA 205 | 36.9 202) || pecenel 220 | 36.0 229 | 35.6 PBL | GD, 246 | 34.8 255 | 34.4 265 | 34.0 PHU \leaee 285 | 33.3 295 | 33.0 307 | 32.7 319 | 32.6 Sot pecan 342 | 31.8 S00 | ole a 368 | 31.3 oo2 | old 397 | 30.8 412 | 30.6 428 | 30.4 te L° b ° 7 Tasue I 35 63° A C Vi He L° fo) 90. 0 0 88. 0 1 86. 1 Be 84. 1 ; 3 82. 2 ; 4 80.3 178 42.8] 35133 48 | 79.9 5 78.4176 31.0] 34840 49 | 77.9 6 76.5 174 21.2| 34502 50 | 76.0 7 74.7 172 13.5| 34117 50 | 74.1 8 72.9170 8.1] 33688 Be M7), & 9 .21768 5.3] 33223 53 | 70.4 10 .5 166 5.2| 32722 54 | 68.6 itt .8 164 7.8] 32189 56 | 66.9 12 .2 162 13.6] 31628 58 | 65.2 13 .6 |60 22.2] 31039 59 | 63.6 14 .1 458 33.9} 30429 61 | 62.0 15 .6 156 48.6} 29798 64 | 60.5 16 .2155 6.4| 29150 66 | 59.1 17 .8 153 27.3} 28487 68 | 57.6 18 -4 451 51.1] 27814 71 | 56.3 19 ri 27131 73 | 55.0 20 .9 26442 76 | 53.7 21 a] 25746 79 | 52.5 22 5 25050 82 | 51.3 23 aA: 24351 86 | 50.2 24 3 23654 89 | 49.1 25 LS 22959 93 | 48.1 26 8 22266 96 | 47.1 27 43 21577 | 100 | 46.1 28 na: 20895 | 105 | 45.2 29 5 y 20218 | 109 | 44.3 30 7, 6.8| 19550 | 113 | 43.4 31 .9 3.1] 18888 | 118 | 42.6 32 mt 1.2] 18236 | 123 | 41.8 33 S) 1.2| 17593 | 128 | 41.1 34 6 2.9| 16960 | 133 | 40.4 35 9 6.3| 16337 | 138 | 39.7 36 .3 130 11.3] 15723 | 144 | 39.0 37 .6 129 17.8] 15123 | 150] 38.4 38 .0 128 25.7| 145382 | 156 | 37.8 39 38. 4 13954 | 162 | 37.2 40 S788 13385 | 169 | 36.6 41 3703 TOSS Lisa less 42 36. 8 12286 | 182 | 35.6 43 36. 3 11755 | 189 | 35.1 44 35. 8 35. 3 34. 9 34. +L 34. 0 11234 | 197 | 346 45 10727.| 205 | 34.1 46 10232 | 212 | 33.: 7 AT 9749 |: 221 | 33.: 3 48 9278 | 229 | 32.: 9 49 .6 11.7 8820 | 238 | 32.5 50 .3 32.6 8373 247 | 32.1 51 il) 54.4 7938 | 257 | 31.8 52 .o 16.8 7516 | 267 | 31.4 53 eZ 40.0 (A0GNIE 200 [Rola 54 = 8) 3.8 6709 | 288 | 30.8 55 . 6 28.3 6322 | 299 | 30.5 56 .3 53.4 5949 | 310 | 30.2 57 oY) 19.1 5587 | 322 | 29.9 58 tad 45.4 5236 | 335 | 29.6 09 . 5 12.2 4899 | 347 | 29.4 60 ye 39.5 4573 | 361 | 29.1 61 WO 7.2 4258 | 375 | 28.9 62 8 35.5 3955 | 389 | 28.7 63 5 4.1 3663 |. 405 | 28.5 64 Le 33.2 3384 | 420 | 28.3 65 erS ese e S 36 t° 1° D ° 7 0;|90 1 | 87 2 | 85 3 | 82 4 | 80 0.0 38.1 16.6 55.9 36.3 5 | 78 6|76 7 | 73 8 | 71 9 | 69 18.2 2.0 48.0 36.3 27.3 10 | 67 11 | 65 12 | 63 13 | 61 14 | 59 21.2 18.0 18.0 21.2 27.7 15 | 57 37.5 16 | 55 50.6 17 | 54 7.0 18 | 52 26.8 19 | 50 49.7 20 | 49 15.8 21 | 47 45.1 22 | 46 17.3 23 | 44 52.5 24 | 43 30.5 25 | 42 26 | 40 27 | 39 28 | 38 29 | 37 11.2 54.5 40.4 28.7 19.4 30 | 36 Oi to 32 | 34 sey es) 3 NS¥4 12.2 auee 4.3 333 ee: 35 | 31 6.8 36 | 30 11.2 37 | 29 17.1 38 | 28 24.6 39 | 27 33.6 40 | 26 43.9 41 | 25 55.6 42 |25 8.6 43 | 24 22.8 44 | 23 38.1 45 | 22 54.6 46 | 22 12.1 47 | 21 30.6 48 | 20 50.0 49 | 20 10.3 50 | 19 31.5 51,18 53.5 52 | 18 16.3 53 | 17 39.9 54 |17 4.1 55 | 16 29.1 56 | 15 54.6 57 | 15 20.8 58 | 14 47.6 59 | 14 14.9 60 | 13 42.7 61 | 13 11.1 62 | 12 39.9 63 |}12 9.1 64 | 11 38.8 65 |11 8.9 TABLE 1 65° 66° A C A 37405 43 37375 43 37283 43 37132 43 36924 44 36660 44 36341 45 35972 46 35552 47 35091 48 34584 49 34043 51 33468 52 32863 54 32229 56 31573 58 30898 60 30206 62 29500 65 28782 67 28058 70 27327 73 26592 76 25855 79 25119 82 243885 85 23654 89 22927 93 22207 97 21493 101 20786 105 20088 110 19401 114 18720 119 18052 | 124 17396 129 16750 135 16116 140 15493 146 14882 152 14284 158 13699 165 13124 Wie 12566 179 : 12018 186 aad 11482 193 24 10961 201 m0) 10453 209 ho 9956 217 els 9473 226 ar 9003 8544 8100 7667 7247 ZopnlPolee 244 | 31.0 Zoe . 6 263 ee 274 . O 6841 284 Na, 6447 295 4 6064 307 e | 5694 319 8 5336 331 5 4991 344 eb} 4658 ool Sel: 4337 371 .8 4028 3885 .6 3730 401 .4 3446 417 x2, : ,18 13.8 F 39069 39034 38935 38769 38542 38252 37904 37501 37044 36541 35995 35407 34785 34132 33450 32746 32023 31284 30530 29768 28998 28222 27446 26669 25891 25119 24351 23591 22836 22089 21352 #20625 19907 19202 18509 17827 17159 16501 15858 15228 14610 14008 13416 12839 12277 11727 11191 10669 10160 9665 9182 8713 8258 7815 7387 6970 6566 6176 5798 5433 5082 4741 4414 4099 3796 3505 min ° 39 | 90.0 39 | 87.8 40 | 85.5 40 | 83.3 40 | 81.1 41 | 78.9 42 | 76.8 43 | 74.7 44 | 72.6 45 | 70.6 46 | 68. 7 47 : 66.8 49 | 65.0 51 56352 52) "6155 54 | 59.8 56 | 58. 2 59 | 56.7 61 | 55.2 64 | 53.8 66 | 52.5 69 | 51.2 72 | 49.9 75 | 48.7 79 | 47.6 82 | 46.5 86 | 45.4 89 | 44.4 93 | 43.5 97 | 42.6 102 | 41.7 106 | 40.8 111 | 40.0 116 | 39.3 121 | 38.5 126 | 37.8 131 | 371 137 | 36.5 143 | 35.9 149 | 35.3 155 | 34.7 161 | 342 168 | 33.6 L75e|tsas 182 | 32.7 190 | 32.2 198 | 31.8 205 | 31.3 214 | 30.9 222 | 30.5 231 | 30.2 240 | 29.8 250 | 29. 5 260 | 29.1 270 | 28.8 281 | 28.5 292 | 28.2 303 | 28. 0 315 | 27.7 SQ | 2s: B40) 27a2 354 | 27.0 367 | 26.8 382 | 26.6 397 | 26. 4 413 | 26.2 4° wel. 0 1 2 3 4 5 6 rh 8 9 10 11 12 13 14 15 16 17 18 19 20 Pal 22 23 24 25 26 PAE 28 29 30 31 32 33 34 35 36 on 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 t° L° 0/190 1 | 87 2 | 84 3 | 82 4 | 79 0.0 26.5 53.6 21.6 51.2 5 Ct 6 | 74 GNeti2t 8 | 70 9 | 67 2PBU 56.7 doce 13.0 56.1 10 | 65 42.7 11 | 63 33.0 12 | 61 27.2 13 | 59 25.4 14 | 57 27.5 15 |55 33.5 16 | 53 17 | 51 18 | 50 19 | 48 43.6 57.5 15.2 36.7 20 |47 1.8 21 | 45 30.5 22 |44 2.5 23 | 42 37.8 24 | 41 16.2 25 | 39 26 | 38 27 | 37 28 | 36 29 | 35 57.6 41.9 29.0 18.6 10.8 30 | 34 5.3 31 | 33 2.1 32 | 32 1.1 33 | 31 2.1 34 | 30 5.0 35 | 29 9.7 36 | 28 16.3 37 | 27 24.5 38 | 26 34.2 39 | 25 45.5 40 | 24 41 | 24 42 | 23 43 | 22 44 | 22 58.2 12.2 27.5 44.0 1.7 45 | 21 20.5 46 | 20 40.4 47 |20 2 48 | 19 23.0 49 | 18 45.6 50 |18 9.1 51 | 17 33.5 52 | 16 58.6 53 | 16 24.4 54 | 15 50.9 55 | 15 18.1 56 | 14 45.9 57 | 14 14.3 58 | 13 43.2 59 | 13 12.7 60 | 12 42.7 61 | 12 13.2 62 | 11 44.2 63 | 11 15.6 64 | 10 47.4 65 !10 19.6 9358 8878 8412 7959 7520 7096 6684 6285 5900 5528 5169 4823 4488 4168 3859 3563 Ada |(M1 SV 68° as m0) .6 1 o . 0 Lt 4 5, Pe . 0 .8 . 8 8 8 9 eu: ) 6 .0 4 .9 i ® erik . 8 . 6 4 1, We wel! 1 5 ib pal 2, nS , &) ee ea) oe 5) . 8 4 6 . 0 4 9 A 9 4 .0 . 5 . 1 LZ : . 4 2 228 | 29.0 | 17 27.0 237 | 28.6416 52.5 247 .3 116 18.8 257 .0 7 15 45.8 267 .74915 13.5 277 .4]14 41.9 288 .1414 10.8 300 .8 | 13 40.4 oy Ly .6 713 10.5 324 .3 | 12 41.1 337 db Fey) Tp. 350 .9 | 11 43.8 364 .7 411 15.9 379 .5 410 48.4 394 .3 | 10 21.3 410 ball 9 54.5 42642 42601 42479 42281 42004 41655 41234 40753 40207 39609 38961 38272 37541 36779 35990 35177 34345 33497 32640 31777 30909 30039 29171 28305 27446 26592 25746 24913 24087 23274 22474 21686 20911 20152 19407 18675 17959 17259 16573 15902 15247 14606 13982 13373 12779 12200 11636 11087 10553 10033 9529 9038 8562 8100 7652 7219 6799 6392 6000 5620 5254 4901 4561 4234 3921 3620 a NG ° 33 | 90.0 30 | o%. 0 ayy || tefay Al 33 | 82.6 34 | 80. 2 34 | 77.8 3 15), 5 340) |) 7/3, a || 7AL © 38 | 68. 8 39 | 66. 7 Al } 64.7 42 | 62.8 44 | 60.9 46 | 59.1 48 | 57.4 SOM Spar, 527 | eo4al! oll AA (0) iI Girl. a 60 | 49.8 63 | 48. 4 66 | 47. 2 69 | 46. 0 72 | 448 76 | 43.7 79 | 42: 7 83 | 41. 7 87 | 40.7 91 | 39.8 95 | 38.9 100 | 38.1 104 | 37.3 109 | 36.6 114 | 35.8 IS) |) Soy, We 125 | 34.5 130 | 33.9 136 | 33.3 1219) || GY, 7/ 149 | 32.2 GS |) BIL 162 | 31.1 169 | 30.6 176 | 30.2 183 | 29.7 191 | 29.3 199 | 28.9 207 | 28.5 216 | 28. 2 225)| 208 PByil |) Dare & SNRs || PACE Ab 2530/0265 5 264 | 26.5 274 | 26.3 285 | 26.0 PA | SASS, 70 309 | 25.5 ook e205 2 334 | 25.0 347 | 24.8 361 | 24.6 376 | 24. 4 391 | 24.2 407 | 24.0 CPO ONE OSCrON a 38 TABLE | v° L° b ° ’ 69° A C Z’ b ° ° ? 70° A C ee A! ee ro) |ie 0/90 0.0} 44567 30 | 90.0 |90 0.0) 46595 27 | 90. 0 0 1 | 87 12.7| 44521 30 | 87.4 |87 4.7) 46545 27 | 87.3 1 2 | 84 26.1 | 44388 30 | 84.8 |84 10.2) 46397 27 | 84.5 2 3 | 81 40.8} 44168 30 | 82.2 |81 17.3| 46149 28 | 81.8 3 4 | 78 57.5 | 43863 31 | 79.7 | 78 26.7 | 45812 28 | 79. 2 4 5 am 45385 29 | 76.5 5 6 .8 44874 29 | 74.0 6 i Mh 44288 30 | 71.5 7 8 Ld 43631 31 | 69.1 8 9 .8 42912 32 | 66.7 9 10 oath 42142 34 | 64.5 10 11 . 6 41322 35 | 62.3 11 12, 26 40463 37 | 60.3 12 13 . 6 39569 38 | 58.3 13 14 .8 38649 40 | 56.4 14 15 . 0 37710 42 | 54.6 15 16 7) 36753 44 | 52.9 16 17 7 35782 46 | 51.2 17 18 22 34808 49 | 49.7 18 19 awe 33829 51 | 48. 2 19 20 a) 32851 54 | 46. 8 20 21 «lO 31877 57 | 45.4 21 22 eg 30909 60 | 44. 2 22 23 | .d 29947 63 | 43. 0 23 24 3 28998 66 | 41.8 24 25 | . 2 28058 70 | 40. 7 25 26 .2 27131 73 | 39.7 26 27 . 2 26219 77 | 38.7 27 28 no 25321 81 [38 28 29 : 24438 85 | 36.9 29 30 .5 23571 89 | 36.1 30 31 Mg 22722 94 | 35.2 31 32 ao 21889 99 | 34.5 32 33 Be 21074 | 103 | 33.8 33 34 5 20275 | 108 | 33.1 34 35 |27. 6.2] 19089 | 116 | 33.8 ]26 2.0; 19495 | 114 | 32.4 35 36 | 26 15.3; 183849 | 122 | 33.1] 25 12.5) 187382 |, 119 | 31.8 36 37 |25 26.1) 17627 | 128 | 32.5 |24 24.7) 17987 | 125 | 31.2 37 38 |24 38.4) 16919 | 133 | 31.9 [23 38.5) 17259] 130 | 30.6 38 39 | 23 52.3 | 16230 | 139 | 31.4 | 22 53.8| 16549 | 137 | 30.0 39 40 |23 7.6] 15555 | 146 | 30.9 |22 10.6} 15856 | 143 | 29.5 40 41 | 22 24.2) 14897 | 152 | 30.3 | 21 28.6; 15181 149 | 29.0 41 42 |21 42.2) 14256 | 159 | 29.8 |20 48.0| 14522 156 | 28.5 42 43 |21 1.3) 13631 | 166 | 29.4]20 85] 138882} 163 | 28.1 43 44 | 20 21.6) 13021 173 | 28.9 | 19 36.2 | 13256 | 170 | 27.7 44 45 | 19 43.0; 12428] 180 | 28.5 118 52.9) 12650 | 178 | 27.2 45 46 |19 5.4) 11851 188 | 28.1 |18 16.7) 12058 | 185 | 26.8 46 47 |}18 28.7) 11288 | 196 | 27.7 ]17 41.4) 11483 193 | 26.5 AT 48 | 17 53.0) 10742 | 204 | 27.3 [17 7.0; 10925 | 202 | 26.1 48 49 |17 18.2| 10211 | 213 | 27.0 716 33.5} 10382 | 210 | 25.7 49 50 | 16 44.2 9695 | 222 | 26.6416 0.8 9856 | 219 | 25. 4 50 51 |16 11.0 9195 | 232 | 26.3 715 28.8 9345 | 228 | 25.1 51 52 | 15 38.5 8708 ; 241 | 26.0 |14 57.6 8849 |. 238 | 24.8 52 53 | 15 6.7 8237 | 250 | 25.7 | 14 27.1 8369 | 248 | 24.5 53 54 | 14 35.6 7781 | 261 | 25.4 [13 57.3 7904 | 258 | 24. 2 54 55 | 14 5.2 7338 | 271 | 25.1 713 28.1 7452 | 268 | 24.0 55 56 | 13 35.3 6910 | 282 | 24.8 | 12 59.4 7017 | 279 | 23.7 56 57/13 6.1 6495 | 294 | 24.6 |12 31.4 6595 | 291 | 23.5 57 58 | 12 37.3 6096 | 306 | 24.4712 3.8 6187 | 303 | 23.2 58 59 |}12 9.1 5710 | _318 | 24.1 [11 36.8 5795 | 315 | 23.0 59 60 | 11 41.4 5337 | 331 | 23.9 |11 10.2 5416 | 328 | 22.8 60 61 | 11 14,1 4977 | 344 | 23.7710 44.1 5052 | 341 | 22.6 61 62 | 10 47.3 4632 | 358 | 23.5 |10 18.4 4700 | 355 | 22.4 62 63 | 10 20.9 4300 | 373 | 23.3] 9 53.1 4362 | 370 | 22.2 63 64 | 9 54.9 3981 | 388 | 23.1] 9 28.2 4038 | 385 | 22.0 64 65 | 9 29.2 3675 | 404 | 23.0] 9 3.7 3727 | 402 | 21.9 65 TaBie ¢° 71° L° = b MORE A ioe ke. ieee. Rola Oma 0|90 1 | 86 2 | 83 3 | 80 4 | 77 0.0 55.9 52.7 51.3 52.7 48736 48680 48512 48240 47861 5 | 74 6|72 7 | 69 8 | 66 9 | 64 57.5 6.5 20.2 39.1 3.5 47387 46822 46173 45450 44663 10 | 61 33.6 11 |59 9.6 12 | 56 51.6 13 | 54 39.5 14 | 52 33.3 43814 42922 41985 41018 40023 15 | 50 16 | 48 17 | 46 18 | 45 19 | 43 32.7 37.7 48.0 3.4 23.8 39009 37984 36948 35907 34868 20 | 41 48.7 21 | 40 18.1 22 | 38 51.7 23 | 37 29.3 24 | 36 10.5 33829 32799 Medinds 30766 29768 25 | 34 55.3 26 | 33 43.4 27 | 32 34.6 28 | 31 28.8 29 | 30 25.6 28782 27814 26862 25926 25007 30 | 29 25.1 31 | 28 27.0 32 | 27 31.2 33 | 26 37.6 34 | 25 45.9 24107 23227 22364 21521 20696 35 | 24 56.2 36 | 24 8.2 37 | 23 22.0 38 | 22 37.3 39 | 21 54.1 40 | 21 12.4 41 | 20 31.9 42 | 19 52.7 43 | 19 14.7 44 | 18 38.0 19891 19104 18338 17589 16859 16148 15456 14780 14124 13485 45 118 2.0 46 | 17 27.2 47 | 16 53.3 48 | 16 20.3 49 | 15 48.1 12865 12259 11672 11103 10548 50 | 15 16.8 51,14 46.2 52 | 14 16.3 53.) 13 47.1 54 |13 18.5 10012 9490 8986 8496 8022 55 | 12 50.5 7563 56 | 12 23.1 TA 57 | 11 56.3 6691 58 | i1 30.0 6277 59 | 11 4.1 poss 60 | 10 38.7 61 | 10 13.8 62 9 49.3 63 9 25.1 64 9 1.4 65 8 37.9 5492 5122 4765 4422 4093 3778 [ 7 0.0 46.0 SB H-4 22.5 15.0 11.5 12.9 19.8 32.6 51.8 17.4 49.7 28.7 14.2 6.1 4.3 8.5 8.4 3.8 4.4 19.9 50.1 24.6 3.0 45.8 31.9 21.4 14.2 9.8 8.3 9.4 3.0 8.8 6.8 36.9 48.8 2.5 17.9 34.8 §3.2 13.0 34.2 56.5 20.0 44.7 10.3 37.0 4.5 2.9 ee Dee 2.9 4.4 6.5 9.2 2.6 6.4 20.8 AERC 31.1 6.9 43.2 19.8 56.9 34.3 12.0 72° A 51002 50939 50754. 50446 50023 49492 48865 48142 47345 46473 45547 44567 43550 42498 41424 40333 39231 38123 37012 35907 34808 33717 32640 31578 30530 29500 28487 27494. 26520 25566 24632 23720 22829 21956 21106 20277 19468 18678 17909 17160 16431 15721 15031 14359 13705 13071 12454 11855 11273 10709 10161 9630 9117 8619 8137 7669 7219 6783 6363 5958 5566 5190 4828 4480 4146 3826 C 7! = 22 | 90.0 22 | 86.9 22 | 83.9 yan ar) OS) 4 || 70 Y Wes \\ 7a (Y PHN |) 724, P2 25 | 69. 4 26 | 66.8 Diff \\ (eyes, 5 28 | 61.9 30 ' 59.6 Bl || Eire 4! 38) |) bia, Be B45) |) BB, 3 Syea lall, 39 | 49. 7 41 |} 48.0 44 | 46. 4 46 | 44.9 49 | 43.5 5) || Ala, De 55 | 40.9 58 | 39. 7 61 | 38.6 64 | 37.6 68 | 36.5 || Bay © TAS || Byh, 9/ 80 | 33.8 84 | 33.0 89 | 32. 2 OR | ail, & 98 | 30.8 LOST R30 S2 108 | 29.5 114 | 28.9 119 | 28.4 125 27.8 Ua || Bre 138 | 26.8 144 | 26.3 151 | 25.9 158 | 25.5 165 2520 IAN OYE Ff 180 | 24.3 188 | 24.0 196 | 23.6 205)" 2583 QIARIT2Z350 223225 232 224: DAD ae2 220 253 | 21.9 26302156 PATEL OAL, at 286 | 21.2 298 | 21.0 310 | 20.8 323 | 20.6 336 | 20. 4 350 | 20. 2 365 | 20.0 380 | 19.9 396 | 19.7 39 t° L° 0 1 Zz 3 4. 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 3i7/ 38 39 40 4t 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 S7/ 58 59 60 61 62 63 64 65 ——E—>> EEE : . : - . 50 | 13 47.0} 51 , 13 19.2 52 | 12 52.0 53 | 12 25.5 54 | 11 59.6 55 | 11 34.2 56} 11 9.4 57 | 10 45.0 58 | 10 21.2 59 | 9 57.8 i es SS ss TaBieE [| SS sss ees ees ee se 17 | 90.0 17 | 86.5 17 | 83.1 18 | 79.7 18 | 76.3 18 | 73.1 20 | 70.0 20 | 67.0 21 | 64.1 23 | 61.4 24 | 58.8 25 | 56.4 27 | 54.1 28 | 51.9 30 | 49.8 32 | 47.9 34 | 46.1 37 | 44.4 39 | 42.9 41 | 41.4 44 | 40.0 47 | 38.7 50 | 37.4 53 | 36.3 y,co° ° —————. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 .9 .9 0 ue 2 4 By’ 30 As) ih ak ae . 9 4 ao 4 . 0 6 1 mie) 4 . 0 0 4 2 10306 | 211 | 21.8 9765 | 221 | 21.5 9242 | 230 .2 8736 | 240 . 9 8246 | 250 Ee 7773 | 261 . 5 7315 | 272 4 6871 | 283 0 6445 | 295 8 6033 | 308 6 a ee, I 64 | 33.2 67 | 32.3 71 | 31.4 75 | 30.6 80 | 29.8 84 | 29.1 89 | 28.4 94 | 27.8 99 | 27.1 104 | 26.6 109 | 26.0 115 | 25.5 121 | 25.0 127 | 24.5 133 | 24.0 139 | 23.6 146 | 23.2 153 | 22.8 160 | 22.4 . 168 | 22.1 . 175: |.Ziad : 183 | 21.4 ° 192 | 21.1 : 200 | 20.8 ]13 1.4] 112 35.0 9.2 4.0 9.5 10443 | 209 | 20.5 9894 | 218 | 20.3 9362 ; 228 | 20.0 8848 | 238 | 19.8 8351 | 248 | 19. 5.4 7869 | 259 | 19.3 1.9 7404 | 270 | 19.1 8.9 6956 | 281 | 18.9 6.4 6523 | 293 | 18.7 4.2 6106 | 305 | 18.5 ———————— ——— a 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 iia = i.) lsgioireoeyn SS > ee) Sd & — nS — ig L° b T° A C 76° ps b A Cieza = he Cle ha ie | i Linea Gaile |iccameclice.| (leno enna Sane [GG aN) (G TRiE n |WiR nC(: Dese |ipmahaaaaae 201|//89820619.008..|05}] 555888367300460]]} 111555 988015 54270...420||| 666111652320259]]} 111333 |||988062...000 021 43||7478 3532..29|| 5577828778 || 1166 7773 4562..67|| 650969969}4 | 1144| | 7784..14 3 4 5 |71 19.4| 56516 | 17 7Omiat|| 50127 )|5 la Our 5 76 ||6647 5337..92|| 5545661294 || 1187 6663 315..04|| 5586191759]} 1166 ||6674..30 7 6 98 ||5618 2392..91|) 5532531340] | 2109 5596 5407..83|| 5545472443| | 1178 ||6507..89 8 9 10 |55 44.1) 51088] 22 53 54.8| 53044 | 20 | 55.1 10 1112 ||5530.53.65.3!{ 4498749625 || 2235 4581134.11.8!| 5510612711] | 2213! |5502..26 1121 1134 ||4468 164..02|| 4475171564] | 2268 4464 208..42|| 4478262959| | 2264 || 4457..99 1134 15/44 04| 44389/ 30 42 4.7| 45754 | 28 |43.9 15 16 |42 4.2] 43026] 32 40 9.2| 44294] 30] 42.1 16 17 |40 15.0| 41673 | 34 38 21.3] 42850] 33 | 40.5 17 18 |38 32.4] 40333 | 37 36 40.2} 41424] 35 | 38.9 18 19 |36 55.9] 39009 | 39 35 5.5| 40023 | 37 | 37.4 19 2210 ||3353 2559..04|| 3367473007] | 4452 3332 3163..72|| 3387634095 || 4430 || 3364.81 2210 22 |32 38.6| 35177| 48 30 54.7| 35990 | 46 | 33.6 22 98)|/312213| 338047). 51 29 40.8| 34704] 49 | 32.5 23 24 |30 10.2| 32746 | 54 28 31.1] 33450 | 52 |31.5 24 25 |29 1.9| 31573 | 58 27 25.2| 32229 | 56 | 30.5 25 26 |27 57.2] 30429] 61 26 22.9] 31039 | 59 | 29.6 26 2987 ||2256 5557..73|| 2298321222 || 6695 2245 2237..99|| 2298878503] | 6637 ||2288..80 2278 29 |25 1.7| 27159] 73 23080Ti|| 27656) i i eee 29 3S012|324 a88i.82} |) 2265112260|) 17882 2221 4545..19|} 2256555950} | 8706] |2256..58 3310 3332 ||2212 4330..80|| 2243114818]] 9817 2210 259..99|| 2234556487]] 9850 ||2245..62 3332 34 |20 59.6| 22261] 97 | 25.6] 19 43.9| 22616 | 95 |24.0 34 35 |20 17.2| 21360 | 102 | 25.0] 19 3.6| 21692 | 100 |23.5 35 33336879 ||||11119788 35413679....5537]||] 21110898406880301425 |||| 111111023975 | 23.0515]]1111781167122438573...]009]|] 21119809027975927753]] || 111112011357 ||||22222132....5600 33336879 40 |}17 85 | 17220 131 ~-6416 5.0] 17459 129 | 21.2 40 41 | 16 34.8) 16461 137 24115 33.1| 16686 135 | 20.8 41 42/16 2.2; 15724| 144 8}15 2.3] 15936 142 | 20.4 42 43 | 15 30.7; 15010] 151 o | 14 32.6| 15208 149 | 20.1 43 44/15 0.2] 14317] 158 1414 3.8] 14501 156 | 19.7 44 45 | 14 30.6] 13644] 166 8 | 13 36.0) 13816 164 | 19.4 45 46 |14 2.0} 12991 173 4413 9.0|) 13153 Uy Le)|ibs eth 46 47 |13 34.1] 12357 181 1] 12 42.8) 12510] 179] 18.8 47 48 |}13 7.1) 11744 | 190 8] 12 17.3] 11886] 188 | 18.5 48 49 | 12 40.8} 11149 198 5 | 11 52.6] 11282 196 | 18.3 49 50 | 12 15.2} 10573 | 207 3111 28.5; 10698} 205 | 18.0 50 51 | 11 50.2; 10017 | 216 .OfF 11 5.0} 10132 |] 214 | 17.8 ol 52 | 11 25.9 9477 | 226 8 7 10 42.2 9584 , 224 | 17.6 52 53 | 11 2.2 8954 | 236 .5 | 10 19.9 9055 | 234] 17.3 53 54 | 10 39.0 8449 | 246 34 9 58.1 8543 | 244 | 17.1 54 55 | 10 16.3 7961 | 256 ane 36.9 8049 | 255 | 16.9 55 56 | 9 54.2 7491 | 267 97 9 16.1 7572 | 266 | 16.7 56 57 32.5 7036 | 279 7] 8 55.7 TZ) 2 16.6 57 58 | 9 11.2 6597 | 291 5] 8 35.8 6667 | 289 | 16.4 58 59 | 8 50.4 6174 | 303 4] 8 16.2 6240 | 301 | 16.2 59 60 | 8 29.9 5767 | 316 2] 7 57.1 5827 | 314 | 16.1 60 61 | 8 9.9 5376 | 329 O} 7 38.3 5431 | 328 | 15.9 61 62 | 7 50.1 4999 | 343 9} 7 19.8 5050 | 342 | 15.8 62 63 | 7 30.8 4638 | 358 CON Wie fatve EI 4684 | 356 | 15.6 63 64} 7 11.7 4291 | 373 .6] 6 43.8 4334 | 371 | 15.5 64 65 | 6 52.9 3958 | 389 51 6 26.2 3998 | 387 | 15.4 65 Table | il : ~~ ExplanaEi | fon of the — . Construction and Use of Tables ; | 42 L° t° b a Li 3 ° 7 0|930 0.0; 1 | 85 33.8| 2/81 10.6) 3 | 76 53.1} 4 | 72 43.9| 64791 64664 643802 638700 62893 5 | 68 6 | 64 7 | 61 8 | 58 9 | 54 44.9} 57.4| 22.4) 0.3} 51.1 61898 60740 59453 58060 56588 10 | 51 54.5; 55056 11 | 49 10.2; 53486 12 | 46 37.4) 51895 13 | 44 15.4) 14 |42 3.5} 50296 48699 15 |40 0.9} 47116 16 | 38 6.8] 45551 17 | 36 20.7| 44012 18 | 34 41.8| 42498 19 | 33 9.4} 41018 20 | 31 43.1 | 39569 21 | 30 22.3) 38155 22 | 29 6.5] 36780 QZ \at- ood | odor 24 | 26 48.3] 34132 25 | 25 45.2| 26 | 24 45.6] 27 | 23 49.3] 28 | 22 55.9| 29 | 22 5.3| “30 :| 21 17.2] 31 | 20 31.5] 32 | 19 47.9| 33 |19 6.3) 34 | 18 26.6) 32863 31628 30429 29263 28132 27034 25968 24933 23929 22953 35 | 17 48.6) 36 | 17 12.2} 37 | 16 37.3} SoH 16. o.e) 39 | 15 31.5 40|15 0.4 41 | 14 30.5|] 42 |14 1.6] 43 | 13 33.7| 44|13 6.8] 22008 21090 20201 19337 18498 17685 16898 16134 15394 14676 45 | 12 40.7| 46 | 12 15.4] 47 | 11 50.8} 48 | 11 27.0} 49 |11 3.9) 50 | 10 41.4 51 | 10 19.4 52 | 9 58.1 53 | 9 37.3 54 | 9 16.9 13980 13305 12652 12020 11407 10814 10241 9687 9150 8631 55 8 57.1 56 | 8 37.7 57 | 8 18.7 58 | 8 0.1 59 | 7 41.9 60 | 7 24.0 61 | 7 6.5 62 | 6 49.2 63 | 6 32.3 64 | 6 15.7 65! 5 59.3 8132 7649 7183 6733 6300 5883 5483 5098 4729 4374 4035 Tasie [ CG Loe ° 11 . O 11 Hovl 12 4 12 .2 12 . 2 13 .3 14 . 6 15 2 16 .9 Uy .9 18 vi 19 . 4 21 50) 23 hadh 24 bai 26 | 41.7 | 37 48.6| 28 | 39.9 | 35 56.7] 31 | 38.3 |34 13.1] 33 | 36.8 | 32 36.9| 36 | 35.3 731 7.5) 38 | 34.0 | 29 44.2| 41 | 32.8 | 28 26.5] 44 | 31.6 | 27 13.8] 47 | 30.6 5.8] 51 | 29.6 1.9| 54 . 6 58 Sus) 61 . 0 65 a4 69 a) 9 9 9 8 8 8 7 7 7 7 6 6 6 6 5 5 a 78° 68212 68063 67633 66936 65991 64837 63509 62040 60463 58815 57110 55380 53635 51895 50171 48464 46794 45151 48550 41985 40463 38980 37541 36144 34785 33468 32189 30952 29750 28584 27456 26360 25298 24269 23274 22306 21368 20460 19578 18726 17899 17098 16321 15569 14839 14132 13448 12786 12144 11524 10923 10343 9783 9239 8714 8208 7720 7248 6795 6357 5937 5531 5148 4769 4412 4070 aoe [e} 10 | 90.0 10 | 85.3 10 | 80.7 10 | 76.2 Li ass LI Gzer 12 | 63.8 13 | 60.2 14 | 56.8 15 | 53.6 16 | 50.8 18 |;48. 1 19 | 45.6 21 | 43.4 23 | 41.3 25 | 39.4 27 | 36 29 | 36.0 31 | 34.5 34 | 33.1 37 | 31.9 39 | 30/7 42 | 29.6 46 | 28.5 49 | 27.6 52 | 26.7 56 | 25.9 60 | 25.1 64 | 24.4 68. | 2nd 72 (2350 77 | 22.6 81 | 21.9 86 | 21.3 91 | 20.8 96 | 20.3 102 | 19.9 107 | 19.5 113 | 19.0 119 | 18.7 125 | 18.3 132 | 18.0 139 | 17.6 145 | 17.3 15s) feo 160 | 16.7 168 | 16.5 176 | 16.2 184 | 16.0 193 | 15.7 202 | 15.5 211 | 15.3 220 | 15.1 230 | 14.9 240 | 14.7 251 | 14.5 262 | 14.4 273 | 14.2 285 | 14.1 298 | 13.9 311 | 13.8 324 | 13.7 338 | 13.5 353 | 13. 4 368 | 13.3 384 |}13.2 Bo¢° irs .. 0 1 2 3 4 5 6 © 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 be 58 59 60 61 62 63 64 65 + ° & ° 79° A C ©BON COOCoOr?ONT 6777790111437292065418500 8 8 8 9 9 67962 | 10 66662146907459426962 |||| _11112310 59199 | _15 55551357643228881608 |||| 21111986 44446489250660737502|||23223750 42922 | 32 eS SS e 13S 22) N9S 35 39773 | 38 38272 | 41 36817 | 44 35407 | 47 233S30941O2004D0144e9235 ||||||” 665R5612l8 2785 ea al 22226543765534970423°| ||| 88879405 2221568259 || 10905 211098789004480 ||| 111011682 1178208949 || 112340 111564749399150 ||| 111543147 11113242592281671115 |||| 111185673964 11633 | 191 11025 | 200 10899473893271180 |||| 222230129999 787732318600 ||| 222764209 66845110 || 228946 44555841590487887474 ||||| 333335602316926 RANA WNODMAOOwU A A O M PT 4101 382 CbCOtObOYrOO) SE rDCHWBNTOAOOO OB D IN DC OeYHOEDTLIPUIDt]WHOONPO NO]O T )IN O CD S W HOCGDS“~0O I 1O3YHtd26eToI0)T }!N 80° A 76033 75819 75196 74197 72874 71287 69491 67551 65520 63424 61308 59199 57110 55056 53044 51088 49183 47335 45548 43814 42142 ee 40525 38961 37451 35994 34584 39223 31909 30639 29410 28222 27074 25964 24890 23850 22845 21872 20931 20019 19136 18283 17456 16655 15882 15131 14406 13705 13025 12368 11734 11118 10524 9951 9396 8861 $345 7847 7367 6904 6458 6029 5618 5222 4843 4479 4131 ° ot eS ° ©PwWNe SO©COr? ONT 10 PwRORaIawlWewoN eee ON PO DhOwOWOO RHWN NRO/ b©C0o 100 CO|CDOWW YrOFWNOmM OOHMNO 44 TaBLE I ° st A SY PS a TES ° ) 0/90 0.0; 1 | 83 38.0] 2|77 25.0) 3 | 71 28.7| 4 | 65 54.9| 80567 80302 79533 78315 76721 5 | 90.0790 0.0) 5 | 83.7 |82 51.1] 6 | 77.6 175 54.9| 6 | 71.7 | 69 21.9| 6 | 66.2 163 19.4] 5 | 60 47.0| 6 | 56 6.2) 7 | 51 52.3) 8 | 48 3.8) 9 | 44 38.7| 74824 72716 70471 68139 65783 7 | 61.2 |57 50.7} 8 | 56.6 A 9 | 52.4 10 | 48.7 11 | 45.4 10 | 41 34.7| 11 | 38 49.6! 12 | 36 21.1} 13 | 34 7.3] 14 |32 6.3) 63424 61099 58815 56588 54424 12 | 42.4 13 | 39.7 15° |;30.3 aoa 18 | 33.2 15 | 30 16.6] 16 | 28 36.9}; 17 | 27 5.9| 18 | 25 42.5) 19 |24 26.0] 523830 50308 48355 46473 44663 20 | 31.5 23 | 29.9 25 | 28.4 27 | 27.1 30 | 25.9 20 | 23 15.5 | 42912 21 | 22 10.3} 41231 22 | 21 10.0; 39609 23 | 20 13.8] 38048 24 119 21.6} 36541 32 | 24.8 35 | 23.8 38 | 22.9 41 | 22.1 45 | 21.3 25 26 27 28 29 SS | 18 32.7} 35091 48 | 20.5 | 17 47.0} 33691 52 | 19.9 |17 4.1) 32339 56 | 19. 2 | 16 23.7} 310387 59 | 18.6 | 15 45.6| 29778 64 | 18.1 ——E———————————————EEE—————EE————E— 82° +° oer acne LF ° ,. 85644 4} 90.0 0 85311 4 | 82.9 1 84342 5 | 76.1 2 82828 5 | 69.6 3 80866 5 | 63.6 4 78580 6 | 58.2 5 76086 7 | 53.4 6 73469 8 })49.1 7 70805 9 | 45.3 8 68139 10 | 41.9 9 65520 11 | 39.0 10 62956 12 , 36.4 11 60463 14 | 34.1 12 58060 16 | 32.0 13 55741 17 | 30.2 14 53515 19 | 28.5 15 51373 21 | 27.0 16 49316 24 | 25.7 17 47345 26 | 24.5 18 45450 29 | 23.3 19 43631 31 | 22.3 20 41884 34 | 21.4 21 40207 37°| 20.6 22 38595 40 |} 19.8 23 37044 44 / 19.1 24 35552 47 | 18.4 25 34117 51 | 17.8 26 32732 54 | 17.2 27 31399 58 | 16. 7 28 30116 62 | 16.2 29 OoOr —_i) eo bo—_— (Se)(o/) ist)oO —_—_ a >o( Ooo oO = wnte a (=) — —) iso)eo =r) — oOorgOr—_ —_Ooies) = 1s — bo — —_(SX) 24339 86 | 14.1 34 a | e bob110b o1mGDC©oO= ———___ orJ PSie-2} —_ «JTS—_oo bofor)We) = i=) (Jt)oO —) or)coonbo boie.)—_ —i=.) Ne)onwe)o boi)or ee orOo aIive)Orbo boorJ O OOOyO OSO Oe P OOO ODIOAemIYALRmAIOATOTLRD (oz)oO rS —_i—) (Jt) iN—_ouQo (Jt)x]Ke) i eo}(=)(oC) No) OONO DlOWeR OMRO NCOPD9m mM 0 7Lo1OTYMmO )CO]9 O]Tm TT191 ooTSSaI oOwo MbO M D OO HO TABLE I 45 fia 83° 84° +? L° b A C b A C Le Was ° r) ° 7 [o) ihig 0|90 0.0} 91411 3 1 | 81 50.9| 90976 3 2|74 0.6} 89725 4 3 | 66 43.8) 87783 4 4/160 9.2) 853837 4 90 0.0| 98077 2 | 90.0 0 80 31.2) 97480 2 | 80.6 1 71 31.6] 95805 3 | 71.6 2 63 22.3) 93274 3 | 63.5 3 56 13.1} 90151 3 | 56. 4 4 5 | 54 19.6] 82551 5 50 4.3] 86712 4 | 50.3 5 6 | 49 13.5 | 79572 6 . 6 |44 50.6} 83139 5 | 45. 2 6 7 |44 47.1) 76525 7 .2 540 24.5| 79572 6 | 40.8 7 8 | 40 55.8) 73469 8 .4 136 38.4| 76086 Css 8 9 | 37 34.6| 70471 9 .1 433 25.4) 72716 8 | 33.9 9 10 | 34 39.0} 67551 10 . 3 | 30 39.6) 69491 9 | 31.2 10 11 | 32 5.2! 64742 11 .8 |28 16.2) 66426 10 ; 28.8 11 12 | 29 49.7| 62040 13 .6 7 26 11.2 | 63509 12 | 26.8 12 13 | 27 49.7| 59453 15 .6 |24 21.6} 60740 14 | 25.0 13 14 |26 2.9) 56979 16 .9 | 22 44.7! 58115 16 | 23.5 14 15 | 24 27.4) 54619 18 .4 9 21 18.7 | 55624 17 | 22.1 15 16 | 23 1.6) 52358 20 0420 1.7) 53258 20 | 20.9 16 17 | 21 44.0 | 50205 23 .8 718 52.5} 51006 22 | 19.8 iL? 18 | 20 33.6; 48142 25 .7 417 50.0| 48865 24 | 18.8 18 19 | 19 29.4) 46173 28 . 7116 53.2 | 46822 27 | 17.9 19 20 | 18 30.7) 44288 30 .7 916 1.4) 44874 AAD) |) A 20 21 | 17 36.8) 42479 33 -9 715 14.0} 438014 32 | 16.3 21 22 |16 47.1} 40753 36 .1 414 30.3] 41234 30) |)Lond 32 23 |16 1.1} 39092 39 ~4 9713 50.0) 39535 38 | 15.1 23 24 | 15 18.5) 37501 43 .8 f 13 12.7) 37905 42 | 14.5 24 25 | 14 38.8} 35972 46 . 2712 38.1} 36341 45 | 14.0 25 26 |14 1.8] 34502 50 .6 F112 5.8] 34840 49 | 13.5 26 27 | 13 27.1) 33088 53 . 1 | 11 35.6] 33400 53 | 13.0 27 28 | 12 54.6| 31726 57 ~7TELL 7.3) 32015 56 | 12.6 28 29 | 12 24.0) 30418 61 2410 40.7| 30684 61 | 12.2 29 30 | 11 55.2) 29156 66 -8 #10 15.7) 29401 65 | 11.9 30 31 | 11 27.9) 27941 70 44 9 52.1) 28169 69 | 11.5 31 32 |}11 2.2) 26769 75 OF 9 29.8} 26980 74 | 11.2 32 33 | 10 37.7 | 256388 80 0 9 8.6] 25834 79 | 10.9 33 34 |10 14.5) 24547 85 -4 41 8 48.5] 24728 84 | 10.6 34 35 | 9 52.4} 23493 90 . 8 29.4 | 23663 89 | 10. 4 35 36 | 9 31.3) 22476 95 -8} 8 11.2) 22633 94 |} 10.1 36 3¢f | 9 11.2) 21493 101 .5 4% 7 53.8} 21640 100 9.9 37 38 | 8 52.0} 20543 107 .3 | 7 37.2| 20681 106 9. 7 38 39 | 8 33.5] 19626 113 .O]} 7 21.3) 19753 112 9. 5 39 40 | 8 15.8} 18740 119 .8 4 7 61 18858 118 9.3 40 41 7 58.8) 17884 125 .6 4 6 51.4] 17994 125 9.1 Al 42 | 7 42.5) 17055 135 .4 9 6 37.3] 17159 131 8.9 42 43 | 7 26.7) 16253 139 . 2% 6 23.7) 16350 138 8.8 43 44 | 711.6) 15480 146 .O8 6 10.7) 15571 148 8. 6 44 45 | 6 56.9) 14732 154 9.94) 5 46 | 6 42.7) 14008 162 977 5 47 | 6 29.0; 13308 169 9.54 5 48 | 6 15.7) 12633 178 94] 5 49} 6 2.8) 11980 186 924 5 14815 153 8.5 45 14087 161 8.3 46 13382 169 8. 2 47 12701 UC? 8.1 48 12044 185 7.9 49 50 | & 50.3] 113849 195 9.1 5 11408 194 7.8 50 51) 5 38.2} 10739 204 9.07 4 50.3) 10795 204 Ga 51 52 | 5 26.3} 10151 214 89] 4 10202 213 7. 6 52 53 5 14.8 9583 224 8 7] 4 9630 223 ea 53 54 | 5 3.6 9035 234 86] 4 9079 233 7.4 54 55 | 4 52.6 56 | 4 42.0 57 | 4 31.5 5589 || 44112.13.|3 8506 245 85] 4 7996 256 84] 4 7505 267 8.3 3 76053727 | 229719 |8282]] 33 8547 244 7.3 55 8035 255 daz 56 7541 266 UB 57 76600686 | 229718 | d7e.e0l 5589 60} 4 1.5 61 3 51.9 62 | 3 42.5 63 | 3 33.2 64 | 3 24.1 65 | 3 15.2 6139 304 8.1 3 5719 318 80] 3 5316 332 7.9] 3 4929 346 7.8] 3 4557 361 Gon 2 4203 377 (th |! 6168 303 6. 9 60 5745 317 6.9 61 5340 331 6.8 62 4951 345 6. 7 63 4578 361 6. 7 64 4221 377 6. 6 65 cEO eert te Le b A85° C ° / 04231|||/'567|5889810 54105809..9..5690||||| 1110009952559971237728301655} | | | 22322)] || 5591..97608184...073 65789 |||4||233348519 6424423098.....14043]|]|| 9887716842075850182512401;}]} 34576 /||||45133322995....2297 111201|24||2262.1178.9..710||, 667741982638277||| 11018! | | 222642...768 1134 ||2109 4106..91|] 6591182978| | 1153 || 2119..39 1111186957/||1185||111456 55144201....17439|)]]| 5445596174457309108446878]| | | | 222113619]7||/|18711117565....8670 2222213402) //||111132U112 2A31860T4...60S24|||| | A44339815B9263A1558T3255T||] ||! 20334891482 |//|193,111232116]]]14.73 998 2222279856||| //11009981845326557....]4129||,| 3333363205669216613601934]]]]1; 4465584026/////111111010032796]]]]) 7 7 7 8 8 3333343120| ||||,77788 3523156815.....14682||]|| 2222279864163086160815350||]|] 6678794833|||]| 99998....o1694]][]|'56666 3333378659 |||||)76666 25310508...66948.||]|7 222|1w1209as7778s6696076973a|||||) 111099815894|])]] 8880781359]]]]7s 5455S 444102 ||| 555 453315...578|]| 111878029846960]|| l11312174||| 777.864]]] 444 4434 || 55 209..44|| 1156644363)| 113485]] 77.32]] 44 4444496587 ||||| 44444683224.88909....7820|]||| 1111132244470184595839746)]||| 111116567882065]|]]! 66667.86791]]]]] 3 3 3 3 3 5555541023| |||| 44333.151343.57.20.47.5;2|||| 1110109984261454721872}8|||; | 222211230022934]]|]| 6666623543]]]]] 3 3 2 3 3 5555575689| | | | 3333|_2211425.9947.9..5|9]0|]/] 88776550067869312834||] || 222224657936470||]]] 66655....190087]]]] 2 2 2 2 2 666666145032|]| | | | 222222523134269926.....080266]||]!; 644455195273969366395670|]|||] 333333014736365600]|]]]/ 555555...865767]]]]]] 2 2 2 2 1 1 86° lipste ees y 111111100154500639684284025529] ||__ 22111 /||||9476505363....01250; 3o241O 9988705605127835826315167| | ||| 33845 |||||2323294368....71887 5 6 7 8 9 766529983970184} || 1891!/|1822160.]19 111120 6529899934 || 1124] |1167..13 1134 4555547027780321620771364| ||||__2221150638|/|||112411128523...|]115 1111165987 4444328350058820461342324; | | | | 2|33403874|1||/|1111001116690.|]]|8] © 2222232140 3333331256814300067233864} | | | 44|55_475_51|]19| /8899&8.&]5412|)1] + 2222268597 2222285067507132183052999 |||||. 6677843838|11 |.872+.73054}4)T!2l a) M3aeaaeee0zd 2222112309880896729589743 ||||| 1111008915038]]]] | 66676.53680]]]]1.) 333m3e9786s 111987013461379 ||| 111123730[]] 666120])] 444120 1165570009 || 114347|] 55.97]] 4448 1111132424482199004458825 |||| 11|11_65751796824||]| | 55555..63456]]]| | 4444468975 11110099528170840813860 ||||| 222212301922223]]]]] 45555.&11902]]]] | 5555521340 88776606511959152677 ||||| 2222245687235971|]| | 44444898.7]]|7 ||) 555e557e96 446554922376815780246068 |||||| 333333705142529549;||4| 444444564465]])||] 666666512340 TABLE [| 47 t° ST 88° ‘° Le b A fo) / 0|90 0.0} 128120 1 | 71 33.3 | 125843 2 | 56 17.2| 120151 3 | 44 57.6 | 113099 4 | 36 48.8 | 105985 5 | 30 53.3 6 | 26 28.2 7 |)2-8) = byl 8 | 20 25.5 9/18 17.1 99335 93274 87783 82828 78315 10 | 16 31.9 11|15 4.2 12 | 13 49.9 13 | 12 46.4 14 oat 5-3 15 |11 3.1] 16 | 10 20.6 17 9 42.8 18 9 9.0 19 8 38.6 74197 70421 66936 63700 60696 57887 55254 52779 50446 48236 20 8 11.0 46149 21 7 45.8 44168 ODE e722Ss| 49981 23 ba AEG 40483 24 6 42.3 38769 25 6 24.2 37132 26 6 7.5 35568 Qh 5 51.9 34067 28 5 37.3 32631 29 5 23.6 31249 30 5 10.8 Sil 4 58.7 ove 4 47.3 33 4 36.5 34 4 26.2 29926 28652 27428 26249 25113 35 4 16.5 24020 36 A ee 22966 Bi 3 58.4 21959 38 3 49.9 20969 39 3 41.9 20022 40 3 34.1 19109 41 3 26.7 18228 42 3 19.6 17375 43 3 12.7 16553 44 3 6.1 45 | 2 59.8| AGH SD 5S.G 15759 149902 1425R 47 2 47.6 13535 48 2 41.9 12845 AON MOIS es Wty 50 2 30.9 11532 51 2 25.6 10911 52 2 20.5 10310 53 2 15.5 9732 54 2 10.7 9173 55 74 a) 56 74. 11583 57 i 56.8 58 1 52.4 59 1 48.1 8634 8116 7615 7135 6672 60 1 43.8 61 1 39.7 62 1 35.6 63 1 31.7 64 1 27.7 65 iL Zaye) 6227 5800 5389 4997 4620 4260 C Z! b A C Z! L° ° ° , Se ial |SG cis |G hae Dicer anne 1 | 90.0490 0.0) 145718 0 | 90.0 9) 1 | 71.6 | 63 25.7 | 140863 0 | 63. 4 (| 1 | 56.3 |44 59.0| 130677 1 | 45.0 2 1 | 45.0 | 33 39.6) 120151 il | BBY 7 3 1 | 36.9 | 26 31.4] 110809 1 | 26.6 4 2 | 31.0 | 21 44.8 | 102771 DRM PAL. fe 5 3 | 26.6 418 22.1 95805 Silla 6 4 |] 23.3 4 15 52.0 89725 4116.0 Ui 5 | 20.6 | 13 56.7 84342 5-| 14 1 8 6] 18.5 | 12 25.6 79533 GeletZ2a6 9 UG; Bab Abl-7/ 75196 7 Alile 2! 10 9 , 15.4 110 10.7 71250 8; 104 11 10 |} 14.1 9 19.4 67633 10 9.5 1174 02) 3) al 8 35.8 64302 12 8. 8 ie Al? 7 58.1 61208 3 8. 2 14 16 |11.4] 7 25.2| 58334 By ese. 15 18 | 10.8 © 56.4 55645 17 We Fe 16 20 | 10. 2 6 30.7 53126 20 6. 8 17 22, 9. 6 6 7.8 50750 22 6. 4 18 25 9.1 5 47.2 48512 25 6. 1 19 PHU S07) 5 28.6 46397 Delf 5.8 20 30 83 5 11.7 44389 30 5. 6 gil 33 | SO} 4 56.2] 42479 S3Mlaeoae 22 37 7.64 4 42.9 40667 36 eel 23 40 7.34 4 28.9 38935 40 4.9 24 43 714 4 16.8 37283 43 Ab 9 25 47 6.87 4 5.6 35705 47 4.6 26 51 6.6 4 3 55.1 34194 50 4,4 27 55 6.4 1 3 45.3 32746 54 4.3 28 59 6.24 3 36.2 31356 58 Awl 29 63 6.07 3 27.6 30025 63 4.0 30 68 5.8 | 3 19.4 28742 67 3.9 ol 72 5.61 3 11.8 27510 72 3. 8 32 OU Bs |) BB ZkS 26326 el 3-2 33 82 5.4 { 2 57.7 25186 82 3. 6 34 87 5.24 2 51.2 24087 87 3, & 35 93 5.14 2 45.0 23028 92 3. 4 36 98 SON 2e39ht 22006 98 3 3 ad, 104 AM One Zee 21022 104 3}, 2 38 110 4.84 2 28.1 20072 110 By 4 39 116 ALO \ DR) 19155 116 &, 40 123 4.64 2 17.9 18271 122 3. 0 41 130 ah i || 24 ish 17417 129 3. 0 42 136 444 2 8.6 16592 136 3. 0 43 144 ARS 2) 4e2: 15794 143 2.9 44 | 151| 424 1 59.9] 15025] 151| 28 45 |) 159.) ALON 1 5568)\s 142827) 1585 288 46 167 4.14% 12 51.8 13565 166 DD, 7 47 175 4.04 1 48.0 12871 17/5} P20 A8 Shs A OM 1 Aas T2209" WSs) bon 7, 49 193 3.9 4 2 40.6 11555 192 2.6 50 202 3.9 1 37.1 10932 201 2. 6 51 211 3.8 1 33.7 10331 Paki 225 52 221 3. 8 i 30.4 9750 221 Day 53 231 3, Uf 2A 9151 Doll Das 54 242 Sy 7 i 24.0 8650 242 2. 4 55 253 34, @ i 20.9 8131 253 2. 4 56 264 3. 6 t 17.9 7630 264 Dae: 57 276 3 i 15.0 7147 276 2. 4 58 289 3% i 12.1 6683 288 Dae 59 302 3.5 1 9.3 6238 301 2, 3 60 315 3. 4 1 6.5 5809 3815 2a 61 329 3. 4 1 3.8 5399 329 Wo. SS 62 344 3. 4 bi 5005 343 2a, 63 359 3h SS 0 58.5 4628 358 Ze, 64 315 3S 0 55.9 4267 374 ae, 65 Explanation | of the Construction and Use of Tables 48 TABLE [| ne 89° L° b A C Ag b ica am (aca maT EU aaa |Uma |(aac | (GT oYURIG (a 0190 0.0| 1 |44 59.7| 2 | 26 33.3| 3 |18 25.1| 4/14 0.8| 175814 160741 140863 125843 114325 0 0 0 0 0 0 0 6 0 1 4 0 1 0) 0 5 | 11 16.9| 6 | 9 25.7| 7| 8 5.4| 8 | JuAqT| 9! 617.3] 105126 97480 90976 S814 80302 2 3 0 2) 9.5 0 3 | 82 0 Bel oe od 0 5| 64 0 0 | 5 39.2| 14 | 26° Ti8i 12 | 4 41.6] 13 | 4 19.4] 14] 4 0.2] 75819 “7a765 68063 64664 61525 Fels ey 0 Rol ge 0 10/ 48 0 Ltd cA A 0 13¢)ex4al 0 15 | 3 43.6] 58606 15 | 39 0 16 | 3 29.0] 55887 17. |. 3268 0 17 | 3 16.0] 53336 Aol bea 0 18 | 3 4.5} 50939 ile one 0 19 | 254.1] 48680 DA. |oeSil 0 20 | 2 44.7| 46545 575 eo 0 21 | 2 36.2| 44520 S031 p28 0 22 | 2 28.4| 42601 38 al eehe7 0 23 | 2 21.3| 40776 36 | 2.6 0 241 214.7| 39034 39,1 5-945 0 =95 | 2a So 26 | 2 3.0] 97 | al eB74| 298 | 152.8| 29 | 1 48.2| S787D 35787 34271 32815 31422 ASS Eater eo On AG.|2 235 2H FiO) | e2e2 0 BA ni 0 AR |oeDall 0 30 | 1 43.9| 30083 63 | 2.0 0 31 | 1 39.8| 28797 67 | 1.9 0 32 | 136.0| 27563 1 Aad 0 33 | 1 32.4| 26374 760.2128 0 34 | 1 28.9| 25229 Siyleeias 0 35 |. 1 25:7) 24128 i eaas Br 0 36 | 1 22.6| 23066 Goal salser 0 37 | 119.6| 22042 OR Rly 0 38 | 116.8] 21055| 104] 1.6 0 39°) 1 -44sth -20108-4.-110. 2156 0 40 | 111.5| 19184| 116| 1.6 0 AM | 2 OO) 18290741 2122 Ae iis5 0 ADA De GG) 174414 129-1) 6125 0 43| 1 48| 16613! 136] 15 0 AAN Ay sD, -PESUBO T4382), chad. 0 45 | 1 0.0| 15045| 151| 14 8 46 | 0 57.9] 14300] 158] 14 0 47 | 055.9] 13581] 166] 1.4 0 48 | 054.0] 12887] 175] 1.3 0 )AO | 052.2} 5122065") 183)}° 1.38 0 50 | 0 50.3| 11570 | 192] 1.3 0 51 | 0 48.6] 10946] 201! 1.3 0 52 | 0 46.9] 10343) 211] 1.3 0 53 | 0 45.2 O762" |): BOD po d43 0 54 | 0 43.6 SOND ols DSi geet? 0 55 | 0 42.0 8660 | 241 | 1.2 0 56 | 0 40.5 1396) Da) |ssedeD 0 57 | 0 39.0 7639 | 264] 1.2 0 58 | 0 37.5 7155+ DB7Gs|.2 122 0 59 | 0 36.0 GOL te B8Se is v1 ge 0 60 | 0 34.6 Glas SOL. tee 0 61 | 0 33.3 5816 | 315] 1.1 0 62 | 0 31.9 5405 | 328] 1.1 0 63 | 0 30.6 5009 | 343] 1.1 0 64 | 0 29.3 4632 | 358 | 1.1 0 65 | 0 28.0 4272 | B74. | 151 0 90° Zz er (ore a a oo 175814 145718 128120 115642 0! « 0| 0 0| 0 0| O tl ald 105970 98077 91411 85644 80567 F520 2120 Sol al 4g 5| 0 76033 71940 68212 64791 61632 7 loa 8! 0 10! 0 11] 0 18.1.0 58700 55966 53406 51002 48736 15 | 0 eee 19| O 22 | 0 24} 0 46595 44567 42642 40812 39069 a7 30 | 0 33 | 0 36] 0 39 | O 37405 35816 34295 32839 31443 43 | 0 46 | 0 50 | O 54 | 0 58 | O 30103 28816 27579 26389 25244 62 | 0 67 | 0 72 \ aG 76 | O 81} 0 24141 S740 23078 9251.0 22054 98 | 0 21066 | 103] O 20113 | 110] 0 19193 | 116|/ 0 18306 | 122] 0 17449 | 129] O 16622 | 136] 0 15823 | 1431 0 15051 | 151! O 14307 | 158] 0 13587 | 166| 0 12893 | 174] 0 12222 | 183] 0 11575} 19230 10950 | 201 | oO 10347). 2117) 20 9765 | 221] O 9204 | 231] 0 8664 | 2411 O 8143 | 252] 0 7641 | 264! 0 7158 | 276] 0 6693 | 288] 0O 6247 | 301! 0 5818 | 314] 0 5407 | 328] 0 5012 | 343] O 4634 | 358] 0 4272 | 374| 0 #° «| ie 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Al 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 TasBLeE I]—d+b 49 0° h, 0° u B “(tae pa 1 |353627 2 | 323524 3 | 305915 ' 4 | 293421 “5 |283730 6 | 275812 7 | 269118 8 |263318 9 |258203 10 |253627 11 |249488 12 |245709 13 |242233 14 | 239015 15 |236018 16 | 233216 17 |230583 18 |228100 19° 225752 20 | 223525 21 | 221406 22 |219385 23 |217455 24 | 215607 25 |213834 26 |212130 27 |210491 28 |208912 29° 207388 30 |205916 31 |204492 382 |203113 33 |201777 34 200480 35 | 199221 36 | 197998 37 | 196808 88 | 195650 39° 194522 40 | 193422 41 | 192350 42 | 191304 43 | 190282 44 189283 45 | 188307 46 | 187353 AT | 186419 48 |185505 49° 184609 50 | 183732 51 | 182872 52 | 182029 53 | 181202 54 180390 55 | 179593 56 |178811 57 | 178042 58 | 177287 59 | 176544 60 |175814 179° me h, i B 175814 175097 174391 173696 173012 172339 171676 171023 170379 169745 169121 168505 167897 167298 166708 166125 165550 164982 164422 163869 163322 162783 162250 161724 161204 160690 160182 159680 159184 158693 158208 157728 157254 156784 156320 155861 155406 154956 154511 154070 153634 153201 152774. 152350 151931 151515 151104 150696 150292 149892 149496 149103 148713 148327 147945 147566 147190 146817 146448 146081 145718 178° 9° 8° 4° h, ide h, VEY ie Figs 72) 87° ae 86° 4° 85° B D B D B D 145718 | 1457 |128120 145358 | 1453 1127880 | 1278} 145001 | 1450 | 127641 | 1276} 144646 | 1446 | 127403 | 1273] 144295 | 1443 |127166 | 1271} 115642 |1155) 115461 | 1154] 115282 | 1152 115103 | 1150} 114925/|1148) 143946 | 1439 |126931 | 1269 |114748 143600 | 1436 | 126697 | 1266 | 114571 143257 | 1482 | 126465 | 1264 4 114395 142916 | 1429 | 126233 | 1262 | 114220 142579 | 14254 126003 | 1259} 114045 1422483 | 1422 | 125774 | 12574 113872 141911 | 1419 |125546 | 1255 | 1138699 141581 | 1415 | 125320 | 1253 § 113526 141253 | 1412 |125094 | 12504 113355 140928 | 1409 } 124870 | 1248 | 113184 140605 | 1406 § 124647 | 1246] 113013 140285 | 1403 | 124425 | 1244 | 112844 139967 , 1399 | 124205 , 1241 | 112675 139651 | 1396 § 123985 | 1239 | 112506 139338 | 1393 | 123766 | 1237 | 112339 139027 | 1390 § 123549 | 1235) 112171 138718 | 1387 } 123333 | 1233 |112005 138411 | 1384] 123117 | 1230} 111839 138106 | 1381 | 122903 | 1228 |111674 137804 | 1378 | 122690 | 1226 § 111510 137503 | 1375 | 122478 | 12241111346 137205 | 1372 | 122267 | 12227111183 136909 | 1369 # 122057 | 1220} 111020 136615 | 1366 | 121848 | 12187 110858 136322 | 1363 | 121640 | 1216} 110696 136032 | 1360 f 121482 | 1214] 110536 135744 | 1357 | 121226 | 1211} 1103875 135457 | 1354 § 121021 | 12091 110216 135173 | 1351 | 120817 | 1207 § 110057 134890 | 1348 } 120614 | 1205} 109898 134609 | 1346 | 120412 | 1203 | 109740 134330 | 1343 |120211 | 1201 |109583 134053 | 1340 | 120010 | 1199 | 109426 133777 | 1337 |119811 | 1197 |109270 133503 |.1335 7119612 |1195) 109115 133231 | 1832 |119415 | 1193 | 108960 132961 | 1329 |119218 | 1191 |108805 132692 | 1326 | 119022 | 1189 } 108651 132425 | 1324 | 118827 | 1187} 108498 132159 | 1821 } 118633 | 1185 ] 108345 131896 | 1318 } 118440 131633 | 1316 | 118248 131373 | 1313 |118056 131114 | 1311] 117866 130856 | 1308 | 117676 108193 108041 107890 107739 107589 130600 | 1305 | 117487 130346 | 1303 |117299 130093 | 1300 } 117112 107439 107290 107141 129841 | 1298 } 116925 129591 116739 106993 106846 129342 116554 | 1165 | 106699 129095 | 1290 j 116370 | 1163 | 106552 128849 | 1288 |116187 | 1161 | 106406 128605 | 1285 |116004 | 1159 |106260 128362 115823 106115 128120 115642 105970 175° , 1.0] 60 1.0] 59 1.0] 58 1.0 | 57 .9]| 56 9 9 9 9 9 8 38 8 38 8 ae) aif aif oof ath 36 The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. Explana- | lion of the Construction and Use of Tables eCet e 50 . Taste II—d+6b . 5° he 5° , B 0 | 105970 1 | 105826 2 | 105683 3 | 105539 4 | 105397 5 | 105254 6 | 105113 7 | 104971 8 | 104830 _9 | 104690 10 | 104550 11 | 104411 12 | 104272 3 | 1064133 14| 108995 15 | 103857 16 | 103720 17 | 103583 18 | 103447 19 | 103311 20 | 103175 21 | 103040 22 | 102905 23 | 102771 24 | 102637 25 | 102504 26 | 102371 27 | 102238 28 | 102106 29 | 101974 30 | 101843 31 | 101712 32 | 101581 33 | 101451 34 | 101321 35 | 101192 36 | 101063 37 | 100934 38 | 100806 39 | 100678 40 | 100550 41 | 100423 42 | 100296 43 | 100170 44 | 100044 45 | 99918 46 | 99793 47 | 99668 48 | 99544 Ao oot 50 | 99296 51 99172 52 | 99049 53 | 98926 54 | 98804 55 | 98682 56 | 98560 57 | 98439 58 | 98318 59 | 98197 60 | 98077 174° a7, 0! 60 .0| 59 .0| 58 .0 | 57 .9| 56 .9| 55 .9| 54 9153 .9| 52 .9| 51 .8| 50 .8| 49 .8| 48 8 | 47 .8 | 46 .8| 45 .7| 44 ae aes af |42 7 |41 .7| 40 .7 | 39 .6| 38 .6 | 37 -6 | 36 6] 35 .6 | 34 .6 |33 55M) 274 5 |31 .5| 30 -5 |29 20 [h28 Bw 74 4] 26 4) 25 4) 24 4] 23 A |22 4| 21 io | 20 .3| 19 .3| 18 Bo 7 .3 |16 3 (ele 2/14 2 eS PM fa2i 2} 41 2/10 .2 veo Ls Le - i 16 a IB es i) ol ie LO} ea 0) eat 0! 0 The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. 10° ray 1i0n2 BAilya79ae | Raga p(s 8 40231 |||||7777755556978806491317093 |||||777775555511234 |||||7777711111698878471410506 _78569|||||7777755555346569673034645 |||||777774445498907 |||||7777711111546432518532689 [| 7711223915 12 | 75182 | 745 | 71167 13 | 75112 | 744 | 71104 14 | 75042 | 743 § 71040 || 7700991736 17 | 74832 | 741 | 70850 18 | 74763 | 741 | 70786 19 | 74693 | 740 | 70723 20 | 74624 | 739 | 70660 21 | 74555 | 738 | 70597 22 | 74486 | 738 | 70534 23 | 74417 | 737 | 70471 24 | 74348 | 736 | 70409 70346 | 70284 | 70221 | 70159 29 | 74005 | 733 § 70097 30 | 73937 | 732 | 70034 31 | 73869 | 731 | 69972 32 | 73801 | 731 1 69910 33 | 73733 | 730 | 69849 34 | 738665 | 729 | 69787 35 | 738597 | 729 | 69725 69664 38 |73395 | 726 || 6699564012 39 |73328 |726 |69479 40 |"73261 | 725 | 69418 41 |73194 | 724 | 69357 42 |73127 |724 | 69296 43 |73060 | 723 | 69235 44 | 72993 | 722 | 69174 4456 ||7722896207 ||772212 || 6699101533 47 |72794 |720 | 68992 48 |72727 | 720 | 68932 49 |72661 |719 | 68871 50 |72595 | 718 | 68811 51 |72529 |717 | 68750 52 |72463 |717 | 68690 53 |72398 | 716 | 68630 54 | 72332 | 715 | 68570 5556 ||7722220616 ||771145 ||6688455110 57 |72136 |713 | 68391 5589 ||7722007005 ||771123 ||6688323712 60 |71940 | 711 | 68212 169° 16S°T TaBLe Il—d+b 51 12° 1 E | | | 6666678888901207951333524 ||||| 6666677777779683918591687 | 6677652623 1 67505 | 67447 | 67388 | 6677323702 14° ere es| AG ps Bic eDi bee ||| 6666611111655443388311220 | ||| 6666611111332213827700999 61129 61079 61029 # 60979 | 60929 | 598 | 597 | 597 | 596 | 596 e1111o....90n0009999| 'eo8)8888 ||||5655568097 5555512354 48 47 46 | 6600883709 || 559955 || ..78| 44 | 67214 67156 | 67098 f 67040 | 66982 y 66925 ) 66867 | 66810 | 66752 | 66695 | 66638 66580 523 f | 60780 60730 |;| 594 594 7rf 43 42 60681 | 593 60631 | 593 | 60582 | 592 | 60533 | 592 | 60483 | 591 f 60434 | 590 eet66776 nae 40 39 38 37 36 |||| 66660000233238388567 | 60189 |||| 555588899980 | 588 |_ .5| 56665 31 | 66466 f 60140 | 587 | .5| 30 t 66409 f 60091 | 587 | .5| 29 66353 f 60042 | 586 | .5| 28 5 66296 p 59994 | 586 | .5| 27 1 66239 59945 | 585 |_ .4| 26 66182 66126 |§ 6666001639 | 59897 | 59848 f|F 5599785010 | 585 | 584 || 558834 4 | 4v.4i| 25 22 65957 59703 | 583 |_.42|1 || 6655980404 || 664488 f46622665097 || 661144 f| 5599660564 ||558822 || ..33|| 2109 65788 | 647 |62555 |613 | 59558 |581 | .3| 18 | 65732 | 647 | 62503 | 612 | 59510 |581 | .3| 17 | 65676 | 646 | 62451 | 612 | 59462 | 580 |_.3| 16 |1 6655652604 ||664455 ||6622430408 || 661111 || 5599346164 ||558709 || .32|/1514 65509 | 644 |62297 | 610| 59318 |579 | .2| 13 | 65453 | 644 | 62245 | 610 | 59270 | 578 | .2| 12 65398 | 643 |62194 |609 | 59222 |578 |_.21|1 | 65342 | 642 | 62142 | 609 | 59175 |577 | .2| 10 | 65287 |642| 62091 | 608 |59127 |577 | .2| 9 | 65231 | 641 | 62040 | 608 | 59079 |576 | .1| 8 65176 | 641 |61989 | 607 | 59032 |576 | .1| 7 | 65121 |640 | 61938 | 606 | 58984 | 575 |_.1|6 || 6655001616 ||664309 ||6611888376 ||6 6060|| 55588983879 ||557744] | ..11|| 54 64956 | 638 | 61785 | 605 | 58842 |573 | .1] 3 | 6644980416 ||663378 || 6611768334 ||660044 ||5588774985 ||557732 || ..00|| 21 64791 | 637 | 61632 | 603 | 58700 |572 | .0! O Ole LIST Gal 166° Rs 216s? The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the merid- ian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. be a | Construction and Use of Tables seoaed TasiLe IIl—d+b 16° he 16° VA mee D B D 55966 55922 55878 55834 55790 55747 55703 55659 55615 55572 55528 55484 55441 55398 55354 55311 55267 55224 p 55181 55138 55095 55052 55008 54965 54923 54880 54837 54794 54751 54708 ; 54666 54623 54581 54538 54496 54453 54411 54368 | 54326 54284 54242 54199 54157 54115 54073 54031 53989 53947 53905 53864 53822 53780 53738 53697 53655 53614 53572 53531 53489 53448 53406 tyig 18° h, (are B 53406 53365 53324 53283 53242 532003 53159 53118 53077 53036 52995 52955 52914 52873 52832 52791 52751 52710 52670 52629 52589 52548 52508 52467 52427 52387 52346 52306 52266 52226 Ada h, get h, Vib 72° 18° Liei 19° 70° D B 51002 50963 50924 50885 50847 f 50808 50769 50731 50692 50653 50615 48371 50576 | 484 | 48334 | 459 50538 | 483 | 48298 | 458 50500 48262 | 458 50461 48226 | 457 50423 | 482 | 48189 | 457 50385 | 481 | 48153 | 457 50346 | 481 | 48117 | 456 50308 | 481 | 48081 | 456 50270 | 480 | 48045 | 5500213924 50156 | 50118 50080 | 50042 50004 49966 49928 49890 52186 49852 52146 49815 52106 49777 52066 52026 51986 51946 51906 4499770329 4499666246 49589 51867 49551 51827 49514 51787 51748 51708 51668 51629 ‘ee 60 59 58 57 56— 05 54 | 53 50 49 48 47 46 45 44° 43 42 Al 3398 66 ||3367 6 |3345 33 26 2245 23 ekicgharelle The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. Taste I]—d+b 20° 21° 22° 24° ine Lite h, 20° | 69° |21° rae B D B O | 46595 | 439 | 44567 1 | 46560 | 439 | 44534 2 | 46525 | 438 | 44501 3 | 46491. | 4388 | 44468 ae 46456 | 487 | 44486 h, Bee Zeer wGie B Dy 42642 42611 42580 42549 42518 | 394 | 393 | 393 (aaa = Lig nGeia) rowel |2 7 351 | 1.0} 60 351 | 1.0| 59 351 | 1.0} 58 350 | 1.0| 57 350 -9| 56 5 | 46422 6 | 46387 7 | 46353 - 8 | 46318 cual 46284 | 437 | 437 | 436 | 486 | 4385 | 44403 | 44370 | 44337 | 44305 | 44272 42486 42455 42424 42393 42362 350 .9| 55 349 9 | 54 349 91] 53 349 9 | 52 348 -9| 51 10 | 46249 | 485 | 44239 11 | 46215 | 435 | 44207 12 | 46181 | 434 | 44174 13 | 46146 | 484 | 44142 14 | 46112 | 433 | 44109 42331 42300 42269 42238 42207 348 .8| 50 348 .8| 49 347 8 | 48 347 -8| 47 347 .8 |46 15 | 46078 16 | 46043 17 | 46009 18 | 45975 19 | 45941 | 433 | 483 ; 482 | 432 | 432 | 44077 7 44044 } 44012 | 43979 | 48947 42176 42145 42115 42084 42053 346 -8| 45 346 .7| 44 346 .7 |43 345 .7 | 42 345 7 |41 20 | 45907 21 | 45873 22 | 45839 23 | 45805 24 | 45771 | 431 | 438915 | 431 | 48882 | 480 | 438850 | 430 | 43818 | 4380 | 48785 42022 41992 41961 41930 41899 345 .7 |40 344 .7 | 39 344 .6| 38 344 6 |37 343 -6 |36 25 | 45737 26 | 45703 27 | 45669 28 | 45635 29 45601 | 429 | 429 | 428 | 428 | 428 | 438753 } 43721 {| 43689 | 48657 | 43625 41869 41838 41808 AI777 41747 343 .6| 35 343 -6 | 34 342 -6 |33 342 -) |32 342 5 |31 30 | 45567 31 | 45534 32 | 45500 33 | 45466 34 | 45433 | 427 | 427 | 426 | 426 | 426 | 43592 | 48560 | 43528 | 43496 | 48464 | 404 | 404 | 403 | 403 41716 | 41686 | 41655 [ 41625 | 41594 | 383 | 382 | 382 | 382 | 381 | 399380 | 39901 | 39872 | 39843 | 39814 | 362 | 361 | 361 | 361 | 360 | 38227 | 38200 | 38172 4 38144 | 38117 | 341 | 341 | 341 | 340 | 340 .0 | 80 .0 | 29 .o | 28 32) ||ZU 4 |26 35 | 45399 36 | 45365 37 | 45332 88 | 45298 39 | 45265 | 425 | 425 | 425 | 424 | 424 | 48432 } 438401 | 43369 # 43337 § 43305 | 403 | 402 | 402 | 402 | 401 | 41564 | 41533 f 41503 § 41473 4 41443 | 381 | 381 | 380 | 380 | 380 } 39785 | 39756 | 39727 § 39698 | 39669 | 360 | 360 | 359 | 359 | 359 | 38089 § 38061 § 38034 | 38006 4 37979 | 340 | 339 | 339 | 339 | 338 4) 25 4| 24 4] 23 A| 22 sg) 24! 40 | 45231 41 | 45198 42 | 45164 43 | 45131 44 | 45097 | 423 | 423 | 423 | 422 | 422 | 438273 | 43241 |]43210 | 43178 | 48146 | 401 | 401 | 400 | 400 | 399 # 41412 | 41382 | 41352 | 41322 | 41291 | 379 | 379 | 379 | 378 | 378 | 39641 | 39612 | 39583 | 39554 | 39526 | 358 | 358 | 358 | 357 | 357 4} 37951 | 37924 | 37896 | 37869 | 37841 | 338 | 338 | 337 | 337 | 337 .d |20 .d| 19 .3| 18 coi leds 3 |16 45 | 45064 46 | 45031 47 | 44997 48 | 44964 49 | 44931 | 422 | 421 | 421 | 420 | 420 | 43114 | 43083 | 43051 | 43020 | 42988 | 399 | 399 | 398 | 398 | 398 | 41261 | 41231 | 41201 | 41171 {| 41141 | 377 | 377 | 377 | 376 | 376 | 39497 | 39468 | 39439 } 39411 } 393882 | 357 | 356 | 356 | 356 | 355 | 37814 | 37786 | 37759 | 37732 | 37704 | 336 | 336 | 336 | 335 | 335 .3| 15 2/14 |: .2| 13 2| 12 2 |11 50 | 44898 51 | 44864 52 | 44831 53 | 44798 54 | 44765 | 420 | 419 | 419 | 418 | 418 | 42956 # 42925 | 42893 | 42862 § 42831 | 397 | 397 | 397 | 396 | 396 | 41111 | 41081 | 41051 | 41021 | 40991 | 376 | 375 | 375 | 375 | 374 | 39354 | 39325 | 39296 | 39268 | 39239 | 355 | 354 | 354 | 354 | 353 | 37677 | 37650 | 37623 | 37595 | 37568 | 335 | 334 | 334 | 334 | 333 -2| 10 | .2] 9 | .1| 8 Sad sf 6 55 | 44732 56 | 44699 57 | 44666 58 | 44633 59 | 44600 -44567 | 418 | 417 | 417 | 417 | 416 | 416 | 42799 | 42768 § 42736 § 42705 | 42674 | 42642 | 395 | 395 | 395 | 394 | 394 | 394 | 40961 § 40931 | 40902 | 40872 | 40842 | 40812 | 374 | 39211 | 374 | 39182 | 3738 | 39154 | 373 | 39125 | 373 | 39097 | 372 | 39069 | 353 | 353 | 352 | 352 | 352 | 351 | 37541 | 37514 | 37487 | 37459 | 37432 | 37405 | 333 | 333 | 332 | 332 | 33 | 331 | .1| 5 SL es Les 0} 2 SOM eck 0! 0 159° 158° 157° 156° 155°. The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. j | of the Construc- | tion and Use of Tables eSoeaweCeeet Taste II]—d+0b6 m|o~ sroH ooa]bo— ior) c|o~taren 35816 35790 35764 35738 35712 35687 35661 35635 35609 39583 35558 35532 35506 35481 35455 fi 35047 35022 34997 34971 34946 34921 34896 34870 34845 33438 33414 33390 33366 34820 f 33342 34795 34770 33318 1 33294 | 31879 34745 33269 f 31856 34719 | 34694 33245 33221 31833 | 31810 34669 33197 31787 | 34644 ) 33173 31763 34619 | 33149 31740 | 30389 | 34594 34569 33125 | 33101 31717 f 31695 30367 30345 34544 f 34519 | 3344446994 134444 | 33078 | 33054 | 3333000360 | 32982 31672 31649 31626 F 31603 31580 30323 30301 30279 30257 30235 57 | 35894 58 | 35868 59 | 35842 60 | 35816 34420 32958 34395 32934 34370 32910 § 34345 | 32887 F 34320 32863 34295 | 293 32839 31557 31534 31511 31488 31466 31443 30213 30191 30169 | 30147 30125 30103 LhbtbtR[DOeeuorRAwiDoE|lOndmtv]iOosOdvmEiOoUx vHiow YvEiDaN 154° 153° 152° 151° 150° The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name oi the declination. ‘TasLe I]—d+6 55 30°_| 59° Reeere wD. | : _23014 |||||3333300000001008103513769 |||222333888 |||| 2222288888877771957365342 | ||: _65789 |||||2222299909999097500220748 |||||222223333366777 ||||| 2222288888766661496218097 |:|: 1111112304|||||2222299999888874628913058 ||||222233336555 ||||| 2222288888555652840636745 || 27: : : 1111186795 |||||2222299999777767531965320 |||||222223333333444 ||||| 2222288888454448604111209 | ! | 2222220413, |||||2222299999665666084227584 |||||222223333323222 ||||| 2222288888333339317586587 | | 2“226227589 |||||2222299999555446319719865 |||||222223333311100 ||||| 2222288888222225319733254 | 214 | | | 3333310234 |||||2222290999443433581623907 |||||222223322200999 ||||| 2222288888111119750311090 | 3333376589 ||||| 2222209999332324082632651 |||||222222222288878 ||||| 2222288888000006842089876 | ! 4444430214 |||||2222299999221111397589764 |||||222222222276676 ||||| 2222277777999992648056564 | 2 4444478569 |||||2222299999110009316413298 |||||222222222265554 |||||.2222277777888884628033342 5555510324 |||||2222209888000992086476524 |||||222222222234434 ||||| 2222277777777770842611122 | 206 ||: 26 5555556978 |||||222222888888998888207531109876 |||||222222222232222 |||||| 222222777777665665647819009099 |204 | 148° | : Fas Aa Corr. 34° | 55° a Bea Ee || 2266338790 2255224245 |[117711 || 11..00|} 6509 ||| 222666333135110 || 222555211086689 |||111777000 || |11..00|]_.9 |555768 || 222666222957233 ||1222555111153302 |||111766099 ||| ...999||| 555534 | 2266221354 | 2255007964 ||116699 | .|_9.|9| 5512 ||| 222666111975567 |[| 222555000532790 |||111666888 ||| ...888||| 445908 || 2266111387 |12254090813 ||116677 | .|_8.|8| 4467 || 2266009799 || 2244994664 |[116677 || ..78|| 4445 ||| 222666000462102 1|| 222444989902097 |||111666666 || ..|_77.||7| 444123 | 26003 | 24872 | 166 | .7| 40 98 ||| 222555999864345 | 18 ||| 222444888513365 |||111666555 ||| ...667||| 333978 | 25926 | 24798 | 164 |_.6| 36 197197 || 2255980877 1|2244776719 ||116644 || ..66|| 3345 ||| 222555888364089 ||1222444777240426 |||111666334 || ..|_56.|5|| 333123 |t 2255871912 | 2244668679 ||116633 || ..55|| 2390 95 ||| 222555777735354 ||| 222444666531024 |||111666222 || ..|_55.|4|| 222678 1 25716 124505 | 162 | .4| 25 194 |||| 22225555666679458790 |||122224444555525472197 ||||111166660111) ||| ....4444|||| 22221234 || 2255662012 || 2244458064 ||116600 || ..334| 2109 ||| 222555555846354 ||| 222444444364179 |||111655909 || |.._33.3]|| 111678 |1 2255552067 || 2244431935 ||115599 || ..32/| 1154 ||| 222555444568198 ||| 222444333754680 |||111555888}} |.._22.2||| 111123 0 || 2255443123 || 2244332024 ||115577] | ..22|] 109 9 ||| 222555333705564 | 173 [|| 222444222846697 |||111555776]] 1.|_1.]|1| 876 || 2255333189 | 172 [| 2244223113 ||115566 || ..11/]| 54 |||| 22225555223284061043 |1|/ 22224444111154979157 |||111555556]]] .0..010!|}| 0321 The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the merid- ian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. 201432 °—40. 5 56 TasLe II—d+06 3h6e2 hass ue Pehseze 2° 5 Oe SE 2222233333000006742013869 |||||111113333398888||||| 2222221222090005832077403 | 2222222222999999753214792 |||||111113333377677||||| 2222211111999993570273030 2222222222898888075380356 |||||111113333355666 |||||2222211111888885328737070 2222222222877780568110749 |||||111113333354444 |||||2222211111877770378537074 2222222222676768163915482 |||||111113333333233 |||||2222211111676677285017044 2222222222566659134735078 |||||111113333312221 ||||| 2222211111655662870318258 2222222222555456419210437 |||||111113333300011||||| 2222211111455559253002596 2222222222444445427092568 |||||111112222298999|||||2222211111444447542037048 44 | | | | 2222222222333339425710374 ||||| 111112222278887 ||||| 2222211111333339275416582 | | 2222222222223228705392669 |||||111112222277666 ||||| 2222211111222236974013749 |1| 2222222222112127508214852 |||||111112222255546|||||2222211111221116127932895 | | | 222222222222010110275308104847 ||||||111111222222333444 |||||| 222222111111011001361849162748 143° 142° 141° he oooo SwCaeevaer HSb bwwbEewwCvsHYOa EOaRhHuEce The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. TasLe II—d+b 7h 44° VAs 45° D / 15 | 1.0| 60 111545 ||| 111...000]]| 555978 14 |_.9| 56 1144] | ..99|| 5554 13 | .9| 53 13 | .9| 52 1) |) Si 13 | .8| 50 12 | .8| 49 (Bal ees is 12| .8| 47 12 | .8| 46 1111| | ..78|| 4445 ela eal as 1te0a || e.7|rg4a1 10 | .7| 40 10 | .7| 39 10 | .6| 38 9| .6| 37 9 | .6| 36 15498 | 9 | .6| 35 1/ 1155447825} | 98|| ..66|/ 3334 115460 | 8| .5| 32 | 15447 | 8 |25 |3 [1155442314] | 87)] ..55|/2390 1(1E5S4S0)8 ||| 7WO] .d5a| h2e8 | 15382 |__7 |_.4| 26 [15370 | 6) .4|25 15357 | 6 | .4| 24 } 15344] 6| .4| 23 15331 | 6| .4| 22 15318 |__5| .4| 21 115306 | 5{ .3| 20 ||} 11552298003 || 55|] ..33| |1189 pL e||@ ACh ity 15255 | 4 | _.3| 16 15242 | 4) 3) 15 115229; 4| .2|14 O(111552N12600410}) 133h | e.222s| c1i2s ISL7SNee seieezl| Le 1i15511563 || 22| (22.21)|| 8¥9 1514000) Scien ia 151270 |5 .2nleeG 11W5A10S2 | e4{y| c.1|ell4 ei50S9) 0) Te) eaules Pi1s5007674 ||? O“|tele20).|0| 212 15051! O| .0! 0 135° The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. tion and Use of Tables ab e 58 Taste Il—d+6 isQO stoaeottiaoootbiaectlrixlinte e0bpGoe ro9ees era shCHGDH pOEeOH alRbHuHd The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. TasLe Ji—d+06 50° 51° h, Va ne V7 ROD Soo eed? 88° hee B D B D O |} 11575 1 | 11564 2 | 11553 3 | 11543 fa 115382 |9924 4 10950 |99247 10940 |9923} 10929 |9923] 10919 |9923] 10909 |9908] | 9908] | 9908] |9908] |9907] 5 | 11522 6 | 11511 7 | 11501 8 | 11490 9 | 11479 |9923] |9922] | 9922) | 9922} | 9922} 10899 10888 10878 10868 10858 | 99074 | 9907} |9907] | 9906] | 9906} 10 | 11469 11 | 11458 12 | 11448 13 | 11437 des) 11427 | 9921] |9921} |9921] |9920] |9920} 10848 10838 10827 10817 10807 | 9906} | 9906] | 9905] | 9905] | 9905 15 | 11416 16 | 11406 17 | 11395 18 | 11385 19 | 11374 |9920] | 9920] ;9919] |9619] |9919] 10797 10787 10777 10767 10756 | 9904] | 99044 | 9904] | 9904] | 9903] 20 | 11364 21 | 11353 22 | 11343 23 | 11832 2a) 11322 |9919] 10746 |9918] 10736 |99184 10726 |9918 4 10716 |9918} 10706 9903} |9903} |99034 |9902} |9902} 25 | 11312 26 | 113801 27 | 11291 28 | 11280 29 11270 |9917} |99174 |9917 | 9917} |99164 10696 10686 10676 10666 10656 | 99027 | 99024 | 9901} | 99014 |9901} 30 | 11259 31 | 11249 32 | 11239 33 | 11228 34 11218 |9916] 10646 |9916, 10636 |99164 10625 |99155 10615 |9915 % 10605 |9901] |9900} |9900] |9900} |99007 35 | 11207 36 | 11197 37 | 11187 38 | 11176 39 } 11166 |9915f | 9915} |99144 | 9914} | 9914} 10595 10585 10575 10565 10555 |98991 | 9899 | 9899 40 | 11156 41 | 11145 42 | 11135 43 | 11125 cee 11114 |9914 % 10545 |9913 10535 |9913] 10525 |9913] 10515 |9913} 10505 |98984 | 9897 | 9897 |98974# 45 | 11104 |99124 46 | 11094 |9912% 47 | 11083 |9912! 48 | 11073 |991154 49 | 11063 |9911] 10496 | 9897 10486 | 9896 10476 | 9896 10466 |9896{ 10456 |98964 50 | 11052 51 | 11042 52 | 11032 53 | 11022 54 | 11011 |99114 |99114 |9910, |9910} |9910 10446 10436 10426 10416 10406 | 9895 19895! 19895] |9895] |9894 55 | 11001 |9910} 56 | 10991 199095 57 | 10980 |9909} 58 | 10970 |9909} 59 | 10960 10950 10396 10386 10376 10367 10357 10347 | 9894 | 9894 | 9894 | 9893 52° h, Zl | |aa52° || ia7e B D 10347 10337 10327 10317 10307 | 9893 | 9893 | 9892 | 9892 | 9892 10298 10288 10278 10268 10258 | 98921 | 9891 | 9891 | 9891 | 9890 10248 | 9890 10239 | 9890 10229 |9890 10219 | 9889) 10209 9889 10199 10190 10180 10170 10160 | 9889} | 9889 | 9888 | | 9888 | 9888 10151 10141 10131 10121 10112 | 9888 | 9887 | 9887 | 9887 | 9887 10102 10092 10082 10073 10063 | 9886 | 9886 | 9886 | 98868 | 9885 10053 10044 10034 10024 10015 | 9885 | 9885 | 9884] | 9884} | 9884 10005 | 9884 9995 | 9883 | 9986 | 9883 9976 | 9883 9966 | 9957 9947 9937 9928 9918 | 9882 | 9882 | 9882 | 9881 9909 | 9881 9899 | 9881 9889 | 9881 9880 | 988so 9870 |9880 9861 9851 9841 9832 9822 | 9886 | 9879 | 9879 | 9879 | 9879 9813 59 be i 60 59 58 7 d 56 55 .9| 54 9} 53 .9| 52 9 51 .8 | 50 .8 | 49 .8 | 48 .8| 47 .8 | 46 .8 | 45 0 | 44 .7| 43 .1 | 42 aif Al EAITAG .1| 39 6 | 38 .6 | 37 .6 36 6 | 35 6 | 34 -6 | 33 of) | BX a 31 5 | 30 0 | 29 aby |)PAS 55) | ef 41] 26 FAN .4| 24 4 23 4] 22 4 21 3 | 20 3 | 19 4) |]fs) onl uleds eed 16 a2) ||116 apd ake 74 {|118% 2) ||UP 4d I Lo 22 oO PLR ab ¥/ BG sls ali | ery: ll 3 Of, 2 AO al FOLIO The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. | : of the | || Constrac- tion and Use of Tables — os re! 60 TasLe Il—d+b 57° yBe a ” 57° | 32° D 9813 9812 9812 9812 9811 9811 9811 9811 9810 9810 9810 he 58° B 7158 7150 | 7142 | 7134 7126 | 7119 § § | | | cr ag acihBeees pa The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. TasLe Il—d+6 61 o—a— on=r) Oo OOOOO OOOO te QO seseseses boa) osI a epearoMce a wtlieeoe entn|geaetttcesO©mWO enbHsU ouI .2| 10 219 SI Rs) So of oly S155 oh 04 i Ie: Choe (0) a 0! 0 The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. 62 65° he. VA 65° 24° , B D 0 | 4272 | 9669 1 | 4267 | 9668 2 | 4261 | 9668 3 | 4255 | 9668 LD 4249 | 9667 5 | 4243 | 9667 6 | 4237 | 9667 7 | 4231 | 9666 8 | 4225 | 9666 9 | 4220 | 9666 10 | 4214 | 9665 11 | 4208 | 9665 12 | 4202 | 9665 13 | 4196 | 9664 14 | 4190 | 9664 15 | 4185 16 | 4179 17 | 4173 18 | 4167 19 | 4161 | 9664 | 9663 | 9663 | 9663 | 9662 20 | 4156 | 9662 21 | 4150 | 9662 22 | 4144 | 9661 23 | 4138 | 9661 24 | 4132 | 9661 25 | 4127 | 9660 26 | 4121 | 9660 27 | 4115 | 9660 28 | 4109 | 9659 29 | 4103 | 9659 30. | 4098 | 9659 31 | 4092 | 9658 | 32 | 4086 | 9658 33 | 4080 | 9658 34 | 4075 | 9657 35 | 4069 36 | 4063 37 | 4058 38 | 4052 39 | 4046 | 9657 | 9657 | 9656 | 9656 | 9656 40 | 4040 | 9655 Al | 4035 | 9655 42 | 4029 | 9655 43 | 4023 | 9654 44 | 4018 | 9654 45 | 4012 | 9654 46 | 4006 | 9653 47 | 4000 | 9653 48 | 3995 | 9653 49 | 3989 | 9652 50 | 3983 | 9652 51 | 3978 | 9652 52 | 3972 | 9651 53 | 3966 | 9651 54 | 3961 | 9651 55 | 3955 | 9650 56 | 3950 | 9650 57 | 3944 | 9650 58 | 3938 | 9649 59 | 3933 3927 TasiLe I]—d+b6 ina .0 | 60 .0| 59 .0| 58 .0| 57 .9| 56 9} 55 9 | 54 9 | 53 .9| 52 9 |51 .8 | 50 .8| 49 .8| 48 .8| 47 -8 |46 45 44 43 42 Al 40 39 38 37 |36 35 34 33 32 31 5 | 30 5 | 29 5] 28 5 |27 4 |26 425 4} 24 4) 24 4.| 22 A |21 13 | 20 .3| 19 .3o| 18 Be fl7 -3 |16 1a | LS .2| 14 2.) a 2) 12 2 |0 2110 Lo er) ck | me 1} 6 Py | 4 eei 10) #2 | Se .0! 0 The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. Tastr Il—d+b 63 cemc| ooror=|~]r1or> Explanation / of the . Construc- | tion and Use of Tables ELuESwo¢t bEeuobbiEvEel The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the merid- ian, toward the west when body is setting or is west of the meridian. In zero :tSOemyeveSTSSeNeCeS eDn™ latitude the azimuth takes the name of the declination. 4 64 Tasie IIl—d+b io. 76° Th: h, VAM he VSide he Z'’ Se,75° 1D4e° 7B6o° 13e”e. BedBee 12° c3201s|1506 | 9428 | 1310 | 99999333339999956675 |||||11111111112122159826 |||||99999333336666613322 | | c8765e 99999333339999944232 |||||11111111111010037204 |||||99999333335665590908 | | 1111112034 99999333339989911900 ||||| 11111000009999896307 |||||99999333335555587665 1111157689 | [ 99999333338888898876 |||||11111000008877714936 ||;||99999333335555553342 2222212304 99999333338888856544 |||||11111000006676547029 |||||99999333335555411290 2222256789° 99999333338888811332 |||||11111000005544563750 |||||99999333334444498876 3333301234 99999333338877709089 |||||11111000004333321396 |||||99999333334444465534 3333356798 99999333337777787566 |||||11111000002222158027 |||||99999333334444413220 4444410234. 99999333337777753434 |||||11111000001100014963 |||||99999333333343399708 4444456789 99999333337777721100 |||||00001999909998028059 |||||99999333333333376554 5555510234. 99999333336666699877 |||||00000999998887717468 |||||99999333333333332124 555655576980 999999333333666666665534 ||||||000000999999766766382500 ||||||99999933333333222219987 7 90000 |||||5556597086 5555515324 4454498706 8‘.7777 |||||4444414532 7.6667| ||||3433360987 ~.66556 |||||3333315234 55554| ||||3222209876 44|/2222251432 33333||/||1121176098 .2.2322]||| )11111425 7 t1L2211A0}||]| eea610892|e 00|! 01 The azimuth is reckoned from the north when in north latitude, from the south when in south latitude, toward the east when body is rising or is east of the meridian, toward the west when body is setting or is west of the meridian. In zero latitude the azimuth takes the name of the declination. Taste II—d+b o~ rHo| —— | ———— |co| bine the value of b thus found with the declination a ee 67" obtained from the Nautical Almanac to obtain d+. 7 ote tee (b takes the same sign as the latitude; d and b are added degree:) when the signs are alike; subtracted when the signs are e unlike.) With the value d+b thus obtained enter Table II and pick out the corresponding values of Band D. These will be found on page 55. PROBLEMS 71 decrees Ce 2IAOR NE fr. Table I_. 633° 02/1 S. A 21159 C 103 Z! 3925 d+630 41.1 B 29216 D 227 h, 18° 16/2 A+B 50375 |C+D 330 h, 18° 16/5 ——_-- a 0/3 (towards) Z” 65.0 _ (Z) S. 104°5 W. Lay off from the assumed position latitude 31°, longitude 49° 37:7 the bearing (Z) S 104°5 W., and, at a distance a=0!3 towards the body on the bearing line, draw a line at right angles to it. This is the required line of position. Important.—It must not be forgotten that the bearing of the body and the intercept must be laid off from the assumed position and not the dead reckoning position. Case I (L. H. A. less than 90°; d+6 greater than 90°)—Problem 2.—The U. 8. 8. Corry is making passage from San Diego to Honolulu. At evening twilight on December 15, 1928, in D. R. position latitude 24° 30/9 N., longitude 147° 149 W., the navigator observed the star ‘‘Deneb” as follows: W. 54 41™ 13°; C-W. 9 51™ 235; chronometer slow 8™ 22%; observed altitude 49° 49/5. Required the line of position. h m 8 \ ee ee eee 5 41 18 @aWis sess e355 9 51 23 5 o2n oo (Ch OS. eee (+) 8 22 G. C. T. 16 Dec. Re Ae M..©2.2.. ih 100 a eee 3 40 58 i Bi BVA 7 0 36.3 Gari goby 9 19 07.0. (Now add 24 hrs. to G. 8S. T.; illustrates Lie gS ae 20 38 58.4 note 1.) (Gils ay eee 12 40 08.6 PTR) elRN he 190° 02/2 W. Assumed A__~_-- (—) 147° 02!2 W. by 1 Geer Neer ee 43° W. t_---.___._ 43°)dec. 45° 01/6 N. Ass. lat__ 25°Jb 57° 28°7 N. A 10453 C 209 Z’ 68°5 d+b 102° 30/3 B 1043 D 9346 h. 50° 07/4 h, 49° 49/a5e a 17/9 (away) A+B 11496 | C+D 9555 : Z’’ (—) 19°8 ; (Z) N. 48°7 (W.) (In this problem d+b exceeds 90°; therefore, take angle 102° from bottom of page 64 of Table II and 30’.3 from right-hand column at side. The resultant Z’’ is given a negative sign. This illustrates note 14.) 201432°—40——6 12 USE OF THE TABLES Case I—Problem 3 —The U. 8.8. Idaho is making passage from Rio de Janeiro to Cape Town. During evening twilight on September 29, 1928, the navigator observes the star ‘Rasalhague” as follows: W. 6 38™ 15s; C-W. 115 58™ 45s; chronometer slow 1™ 048; corrected altitude 40° 33/1. Position by D. R. at time of sight was latitude 30° 57’ S., longitude 0° 08'6 E. Required the line of position. h iis ee ee ee 6 88 15 Weer enc ane te 11 58 45 C.F 6 37 00 Cree See ae (+) 1 04 z G:C. T: 29 Sept. == RAM O.22e- sas. Ci 651 a RCAe?. Eho HOe oeEeee 18 38 04 030 1.3 3 3 —-- 1197 3111 0396..03 G 0H. A senseses 1 39 32.7 W Ro) Are. stestioie Sse 24° 53/2 W. Assumed long___.(+) 0° 68 E or, G. C. T. 29 Sept. G. H. A. 29 Sept. Corr. 185 38™ Corr. 48 G. H. A. Assumed long. Ti. As 18 38 04 ; 104° 36/3 280 15.9.. ike1.0 24 53.2 W. 0 6.8 E. a 25° 00.0 W. I SEls FAv tee setaes 25° O10 W. foo pts ots, 25° \dee. 12° 36/8 N. Ass. lat__- Bileof b 56° 27/4 S. A 3054 C 441 oe stySpam?lose) d+b 438° 50/6 B 15946 ID alee he 40° 13/0 h,. 40° 33/1 sae ESTA a 20/1 (towards) A+B 19000 C+D 458 Li Ors (Z) 8.147°3. W “ Case I—Problem 4.—A seaplane is making passage from New York to Ponta del Gada, Azores. . During evening twilight on June 24, 1928, while.in position by D. R. latitude 38° 14°8 N., longitude 31° 4875.W., the navigator observed the moon’s lower limb as follows: W. 7» 51™ 008; C—W. ‘Oh 08™ 29s; chronometer fast 8™= 315; corrected altitude 48° 39/1. Required the line of pasties; h m 5 Wie ee eee a 51 00 CW ee ee 2 08 29 (Oi Ceti ht , eo ee 9 59 29 (+) 8 831 G. C. T. 24 June__ 21: 50 58 RA. Me Os. -2— 180 35,5 ofDt UlLc a a 3 35.4 Gos. bes se Se 16 02 08.9 A ee Seee ‘12 17 -23. 0. Gil Asti 5 : Gee. 3 44 45.9 W.: BO BA CS axe 2 Se = 56° .11/ 5. -W. Assumed long__-__- (—)31° 1125 W. Dp A eeBe ee 25° OfO W. eAsns. leaet.eee 5 38°fb | 49S°oI14e/s2OmNN. A 2553 CG. 478 Z! 7420 d+b 52° 36/8 B 9988 pew Sonate? h, e48a° s39/1ae a 7:9 (towards) A+B 12541 D 9883 C+D 361 Z’’ 66.5 (Z) N 140°5 W. PROBLEMS 73 Case I—Problem 5.—The U. 8. 8. Texas is making passage from San Diego to Valparaiso. During the forenoon of June 25, 1928, while in D. R. position latitude 30° 05/8 S., longitude 74° 34/5 W., the navigator observed the sun’s lower limb as follows: W. 8» 15™ 26s; C-W. 54 07™ 12s; chronometer fast 7™ 428; corrected observed altitude 14° 07/5. Required the line of position. J agee CAWis se ee eee h m 8 3 ily BAS 5 Of WP 1B} 22) BS (Gis (Ceeae (—) GY @@ Guo 25) Juness 13° 14756 Hgwohabe soc 3 (—) Ze 258 5 GAC oi YeasRee UR 12 SOL & Subunacheea sees 12 (COMET ANS = 8s ee 1 1 BOL WW JNTROs Se aie 18° 07. 6’ W. Assumed long_(—) 74 07.6’ W. Tins El lgeeseeOeeeer 56 (22 ales eam shales 232) 23.8yNe Ass. lat_ 30° b 44° 05/1 S. KE. A 15734 C 144 Li Doge d+b 20° 41/3 B 45188 D 423 h, 14° 14/0 he a1e4°s 0775 a 615 (away) A+B 60922 C+D 567 Lh (Ames (Z) $12893 E Case I—Problem 6.—The U. 8. 8. Stewart is making passage from Hainan, China, to Manila. During the afternoon of. May 18, 1928, while in position by D. R. latitude 17° 01/3 N., longitude 116° 34’ E., the sun’s lower limb was observed as follows: W. 45 00™ 10*; C—W. 35 45™ 325; chronometer slow 14™ 18s; corrected observed altitude, 35° 38/9; sun bore 281° per gyro compass. Required the line of position and the error of the gyro compass. og he m 8 VV a SR cs 4 00 10 TANSe ey aes aces OM OUD, ~ 45 42 CaiC ee ae (+) £4414 18 G. C. T.18 May... 8 00 00 Eq. (0)ie A an a +3 43.1 Cp At IP 8 03 43.1 (add 24 hrs.) BUbtraACb a4. eee 12 GraeerAC 22k oa 20 03 43.1 W. PAT Cee ne oa a 300° 55. 8’ W. Assumed long_(-++) 116 04. 2’ E. Medes PAG 2h.,SSoa yes 417° W. (Reject) =. ce 360° Pesar eeo e et 57 W. (illustrates Note 13(d)) 74 USE OF THE TABLES Pe-cuess 57°\dec. 19° 31/4 N. Ass. lat. 17° b 60° 41/6 N. A 22381 C 96 Z’ 65°8 d+b 80 138.0 B 636 D 9237 h. 36° 03/5 ho 35° 38/9 —_—— a 24/6 (away) A+B 23017 C+D 9333 Z!' 12.2 ae Z (N.) 78.0 (W.) 4 282° Z 281 (pgc.) Error pge. 1° (E.) Case II (L. H. A. between 90° and 270°)—Problem 7.—On May 15, 1928, about 8 p. m., the U. 8. S. Mississippi making passage from Hampton Roads to Liverpool, while in D. R. position, latitude 40° 43’ N., longitude 68° 30’ W., observed the star Vega as follows: W. 7» 36™ 12°, C-W. 44 59™ 12s, chronometer 1™ 1% slow. True altitude 14° 50.5’. IWeeioere Bose CeWiejaoe-ceeee h m 8 7 36 12 4 59 12 CO eed oss 12 35 24 CA Ge eee ae (+) 1 Ol J G. C. T. 16 May__ R.A. M.S. ©_-. Ca CC = Tab. III : 0 36 25 15 33 49. S ; 6.0 eaoi 2 Rain 2 ee ee (ks ta).ee 16 10 20.7 R. A. * es 18 84 31. 3 nae ¢ Geta Aqsa see 21 35 49.4 W. Acces Sided is bin 323° 57. 4' W. Assumed long_(—) 68° 57.4 W. or, G. C. T. 16 May ne G. H. A. 16 May Corr. 04 367 Corr. 25 G. H. A. Assumed long. L. H. A. 0 36 25 314° 9 —= 323 68 =) 255 49/6 01.5 6.3 Saar 57.4 57.4 a 00.0 Li & ae, eee 255° Reject. .=<.- = 180° W. (or 105° E.) os ae a is (illustrates Note 13 b.) t=75° |Enter Table I with t=75°. L=41° (page 41). L=41° | Find b, A, C, and Z’. 6 is given sign opposite to that of latitude (see Note 12). Combine }, with declination and always subtract. With value d+} enter Table II, pick out values B and D. Add A+B and C+D. Change Z’ to (—). (See Note 12.) CTabe. I avs db 3186°° 4324..87’' 8N.. A 16461 ©1397 Z! (—) 22°92 (Subtract).d+b 22 07.9 B 42396 D 391 hhoe 1144° 5560..57’ a 6. 2’ (away) A+B 58857 |C+D 528 Zz!" = -'73°5 % N53 E. PROBLEMS 75 Case II (L. H. A. between 90° and 270°)—Problem 8.—On June 22, 1928, about 6 p. m., the U. S. S. West Virginia in D. R. position lat. 50° 55’ N., long. 30° W.., observed the sun’s lower limb as follows: Watch 65 5™ 30s, C—-W. 25 1™ 20s, chron. fast 0™ 208. True alt. 17° 14.5’. Required line of position. Wes o 5 ee ee Opa ote Gu hea 8 ) 5) ah) 2elen20 Chnoshe Sn Be 8 6 50 (Oj GS WesSURE alaenati (—) 0 20 GC. E:'22 June--__- 20 6. 30 1201 een (—) 1 50.6 (CAM TDa 20 4 39.4 Subtract... 22252— 12 (Cape An Se ot oe eS Atos 33 eee Assum. long-...(—) 8 4 39.4 W. 121° 9.8) Wi 30° 9.8’ W iets Auses ees 91° 180° 00’ W. (illustrates Note 13 (a).) Gn 8 Me ea pe eee 89° Emeansorlad 23° 26°77 N: Pea ol fo. 0! 4816. 8: A 10946 C 201 Z’— 1°3 d+b6 22 38.1 B 41470 D 380 lh ALS Pe A+B 52416 |C+D 581 Lieto he te a 9.7’ (away) ZN.740 W. MERIDIAN ALTITUDES A new and short method for working meridian altitudes is here developed. (Refer to fig. 1, p. 67.) When the heavenly body is on the meridian, ¢ equals zero. ‘The side a becomes zero, and point D coincides with point Z; b therefore equals the colatitude. Likewise, B will equal the coaltitude. Since B equals co (d+), itis apparent that (d+-6) will equal h (the computed altitude). Hence, whenever ¢=0° (when the body is on the meridian or near enough to the meridian such that the assumed longitude makes ¢=0°) the work of finding the resultant latitude at the time of the sight is exceedingly simple. Subtract the D. R. latitude from 90°. This value equals b. Apply the declination in the usual manner to getd+b. This value of d+ 6 equals the computed altitude (h,), except in one case when it exceeds 90°, in which case use the supplement as h,. Applying the observed altitude gives us an altitude difference. Now, the azimuth is assumed to be 0° or 180° according as the observer faces the elevated pole or has his back to the elevated pole when taking the sight. The latitude is thus quickly obtained without entering the tables. This method is much more simple than the usual methods of meridian altitudes given in Bowditch. It has the added advantage of disposing of the necessity of remembering confusing signs, An example follows: 76 USE OF THE TABLES Problem 9.—The navigator of the U. 8. S. Raleigh, on January 11, 1928, in D. R. latitude 15° 08/6 N., longitude 157° 19/1 E., observes the sun at L. A. N. as follows: hs © 52° 39’; I. C. (+) 1’; height of eye, 41 feet. Required the latitude at L. A. N. Subtract the D. R. latitude from 90°___.__._..-_- 90° 00:6 15 08.6 (This equals 6, and takes the same name as the latitude.) 74. 51. 4 (N.) Apply the’ declination2-_.-. 2-55-22 ee 22 01.0 (S.) The result (d-+-b) equals. he ~~ -.25-=- 3-22. 52 50.4 |eA A. Uh ee ape 52 49.4 a equalss #88 1/0 (away.) 4=180° since the observer’s back is toward the elevated pole. .*. the resulting latitude equals 15° 08/6+1/!0=15° 09'6 N. Problem 10.—The U.S. S. Los Angeles while making passage from Midway Islands to Shanghai was at L. A. N., on July 22, 1928, in D. R., position latitude 28° 40’ N., 175° 14’ E. The navigator observed the sun for latitude as follows: h, © 82° 06’; I. C. (—) 1’; height of eye, 1,050 feet. Required the latitude at A. IN: 90° 00’ Dh wate 2sc 400 sen. —_—___——_ pe ee Gle820% IN: deckas. (202 2278 Ne ——_—_—_—- | pe 81 42.8 lie: 81 49.0 h; 82° 06’ I. C. {5 82° 05/ Corr. Tab. A. and B. —16/ Miruesaltes.. 22. oe 81° 49’ (ee 6. 2 towards 4 180° Therefore latitude at L. A. N.=28° 40’ N.—6/2=28° 33/8 N. NOON CONSTANT If, to the value d+-b (or h,) we apply the index correction and the correction for height of eye for this h, with reversed signs, we thereby obtain a noon constant K. At L. A. N. simply observe the sun’s altitude and apply to K thus obtained to get the altitude difference. This method eliminates the necessity of finding an approximate altitude with which to find the height of eye correction. It also eliminates confusing signs. Problem 11.—In problem 9: Rit (jb) SCQMAISS .