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A Historical View of the Hindu Astronomy, From the Earliest Dawn of Science in India to the Present Time - John Bentley - Complete Book

English

Digitized by Google 314 THE MODERfiT ASTRONOMY, &C. in a warm climate, baring been between forty and fifty yearg in India, obliges me to lay down my pen, imd to desist from all further investigations : indeed it has been with a great deal of difficulty that I have brought this essay to a close, in the state it is in. If my health had permitted, it might have been made more perfect and full ; but on this account I have been obliged to curtail it, and leave out many things that might be useful. However, though thus nar rowed, I believe the astronomer and man of science will still find all ttet he may require, or that is ab- scdutely necessary, for formmg^ a just idea of the ^indu astronomy, and its antiquity. Digitized by Google THE APPENDIX, COMTAINIIIO I.— lltiiAi TahUi ^ EqtuttwiUf ifc. for eaktJaiiMg ike irm Hdiocentrie m^ GtoeeiUne PUeti ^tke PUmeU, 4re n.— HiMcrlEf on ike Ckmese AUnnom^, promng^ from ikeir Lmuar Mmmont, ikai ike Seienee U nmektnorewiodem among ikem ikon isgeweraU^ believed. Tke namee ef ikeir ConeiHiatione are oddedy wiik ike Siare im eaek, IIL — Tranelaiioma ef ceriom Hieroglypkkty wkick kUkerio kave been coXted (ikougk erroneomtiff) ike Zodiacs of Dendera in Egypi. Digitized by Google Digitized by Google No I. HINDU TABLES OF EQUATIONS, &c. FOR CAXCULATING THE TRUE PLACES OF THE SUN AND MOON; ALSO THE HELIOCENTRIC AND GEOCENTRIC PLACES OF THE PLANETS. F F Digitized. by Google HAVING been nqmstedby ^me friends to add to my work the Tables qf Equations, 8fc, used by the Hindus in computing the true places / the sun and moony and the heliocentric and geocentric longititdes of the ptanets, I feel a pledsttreiniomphfin^ tptth Ike requcBt, % the insertkm of the atscompdrtytng^ Tables, which I believe have never btfore been pMished, those of the sun emd inotfn excepted^ For the better understanding the tables, I have added examples under each, so that notlUng more need be said here by way of eacplanation. Digitized by Google AYPeNPIKk 21^ SUN. 1 MOON. BAUATIOM OF TH£ ORBIT. EaUATION or TOE 03B1T. | Argmmmi. Smm' ArgmmiL Moom'sMMtm omh -V. -| 1 + 6* + 7 + 8 1 1 + 6- + !• + 8> i 1 — 0 -1- -2 f 6 1 -> -1- - 2- 0 0^ nr ar 1^ 6' or 1*^63' 26-' 30 0 0' 00* r 9^ r 4^22' 29^^ to 1 0 i 20 1 8 00 1 64 30 29 0 6 20 9 66 37 4 29 •^ 29 s • 4 4* 1 9 67 1 66 34 28 0 10 40 $ u n 47 99 ?8 s • f m 1 11 67 146 36 27 0 16 00 2 46 36 4 29 69 ?7 4 0 0 19 1 13 .47 1 6r 34 26 0 21 19 2 49 68 4 92 19 26 s Oil tr 1 16 40 1 38 34 •6 0 20 96 2 64 20 4 34 or 26 6 0 19 66 1 17 32 1 69 30 24 ^11 94 2 68 99 4 36 97 24 7 0 16 16 1 a? 23 2 •O 23: 23 0 27 12 3 2 64 4 38 64 23 0 16 OS 1 21 11 2 1 14 22 042 29 3 7 6 4 40 94 22 t 0 10 61 I 22 67 2 2 04 21 0 47 44 3 11 12 4 42 69 91 10 0 aft f L 94 42 2 2 61 20 0 2 18 3 16 16 4 44 40 20 u 0 26 .23 1 26 26 2 3 36 19 0 68 11 3 19 >8 4 46 24 19 n 0 ft7 39 1 28 07 2 4 17 18 1^3 23 3 23 24 4 48 6 18 11 0 29 ^ 1 29 46 2 4 67 17 1 08 40 3 27 26 4 49 98 17 14 0 S2 10 1 31 23 2 6 36 16 1 13 46 3 30 64 4 61 9 16 16 0>4 27 1 32 68 2 6 12 16 1 18 63 3 34 39 4 62 69 16 16 0 06 37 1 34 62 2 6 46 14 1 34 00 3 38 21 4 69 44 M IT 063 ^ 1 36 04 2 7 17 IS 1 29 06 3 41 68 4 66 6 13 18 0 41 ,01 1 37 36 2 7 46 12 1 34 9 3 46 32 4 66 16, 12 10 0 43 12 1 39 06 2 8 12 11 1 39 10 3 48 99 4 67 17 11 ao 0 46 22 1 40 36 2 8 36 10 20 1 44 9 S 62 24 4 68 IS 10 91 0 47 31 1 42 03 2 8 68 9 21 1 49 17 3 66 46 4 69 6 9 B2 0.49 39 1 43 26 2 9 18 8 22 1 64 3 3 69 2 4 69 93 8 23 0 61 47 1 44 46 2 9 36 7 23 1 68 3 4 2 13 6 0 27 7 24 0 63 63 1 46 02 2 9 61 6 24 2 3 47 4 6 18 6 1 8 6 26 0.66 67 1 47 17 2 10 03 6 26 2 8 36 4 8 18 6 1 40 6 26 0:68 01 1 48 33 2 10 13 4 26 2 IS 22 4 11 16 6 2 3 9 27 1 00 02 1 49 47 2 10 20 3 27 2 18 6 4 14 U 6 2 20, 9 28 1 2 63 1 61 00 2 10 27 2 28 2 22 ,47 4 17 0 6 2 36' 2 29 1 4 03 1 62 22 2 10 31 1 29 227 36 4 19 46 6 2 44 1 M 1 6 02 I 63 26 2 10 32 0 30 2 32 2 4 22 29 6 2 48 0 -6- -4 l -3- • T - — 6 -4- — 3- 1 + 1X + 10- + 9- 1 1 + 11- + 10* + 9 ][7fo/(A7a6Ie. UuiiftheTMe. Sopp. Sim's aeui long, is 11- 2o 9" 6^ Siipp.mooii'siiiMiiloBg.ll> 8066']7'' 9btraottheapost . ... 2 17 66 38 Tbe BiooD*s apogee .... 2 9 38 0 ... 8 14 12 28 Tbe ^natioD for which is + 2 6 42 | The eqnstioB for which is + 6 2 46 .. 11 2 9 6 Mood's mean loiigitnde 11 8 66 17 Son's true loogitude • ...11 4 14 48 Mood's true loogitude .. 11 IS 69 2 Digitized by Google 220 APlENDIxr. MERCURY. EQUATION OP THE 8UN*S LONGITUDE. Arg.Sun'Mmeanlong.—'ApheHon ofMer. THE Elongation. Arg. Mercury's Umg.-^un's eqmUedhng. i — — — — — i i + + + + + + i & 0 1 2 3 4. 5 a & 0 1 2- 8> 4 5 ?. 0 i/ 134^ 232' 267' 286' 139^ 30 0 O' 478' 902' 1208' 1240' 906' so 1 5 138 234 268 284 135 29 1 16 494 914 1216 1235 884 29 2 10 142 236 268 232 131 28 2 32 508 926 1222 1230 860 28 S 14 145 238 267 229 126 27 3 48 522 938 1228 1225 888 27 4 19 149 240 267 227 122 26 4 64 536 950 1234 1220 808 26 6 24 153 242 267 224 117 26 5 82 552 964 1240 1218 790 25 6 29 157 244 267 222 113 24 6 98 568 976 1246 1216 762 24 7 84 160 246 266 220 108 23 7 114 582 988 1252 1214 736 28 8 88 164 248 266 217 104 22 8 180 594 1000 1256 1212 708 22 9 43 167 249 265 213 99 21 9 142 612 1010 1260 1210 684 21 10 47 171 250 264 211 95 20 10 162 628 1020 1266 1208 656 20 11 52 174 251 264 207 90 19 11 178 642 1082 1270 1204 626 19 12 56 178 252 263 204 85 18 12 194 656 1044 1274 1194 596 18 18 61 181 258 262 201 80 17 13 210 670 1054 1278 1182 566 17 14 65 185 255 261 198 75 16 14 226 686 1064 1282 1172 536 16 15 70 191 257 260 195 70 16 15 242 700 1076 1284 1160 506 16 16 74 194 258 259 192 65 14 16 258 714 1086 1286 1148 476 14 17 79 197 259 258 188 60 13 17 274 728 1096 1288 1136 444 13 16 84 200 260 257 185 55 12 18 290 742 1106 1290 1122 410 12 19 88 203 261 256 181 51 11 19 306 756 1116 1292 1106 378 11 20 02 206 262 254 178 46 10 20 324 770 1128 1290 1092 346 10 ai 96 209 263 252 176 41 9 21 338 784 1134 1290 1078 802 9 22 101 212 264 251 171 36 8 22 352 796 1144 1290 1062 278 8 2S 105 214 265 249 107 31 7 23 368 810 1152 1290 1044 244 7 24 109 217 265 248 168 26 6 24 384 824 1160 1290 1026 210 6 25 114 220 266 246 159 21 5 26 400 838 1170 1282 1008 174 5 26 118 222 266 244 155 15 4 26 414 848 1178 1278 990 140 4 27 122 225 267 242 151 10 3 27 430 862 1184 1262 970 104 3 ^ 126 227 267 240 147 5 2 28 446 876 1192 1254 d48 70 2 29 130 230 267 238 148 1 1 29 462 890 1200 1246 926 34 1 80 184 232 267 236 189 0 0 30 478 902 1208 1240 906 0 6* 0 ll 10 9 8*^ 7. 6 . T 11 10* 9* 8- 7 2 1 + + + + + + 1 1 — — — — — — 1 Use of the Table. Use qf the Tabu. SnpfMse 800*8 loDg.> ... 11* 2^ Meroory's aphelioo snbt 7 14 Remaio 8 17 > 9' 16" 64 40 14 26 Suppose Mercury's loog. 520O5l' 15" Subt. soo'ff equated loog.