SYSTEMS OF ASTRONOMY. £] 9 



s. * ' " 



2 5 4S 



Hence the longitude required, 



_ ]-143lJ3-<4 +tlOO_ CiO\Q 



1080001) 



} 



By i-A Land Es tables, 7 ^. n° /n' in«' 



Hindu sphere, . 3 

 Inequality f*^e/;^^-e 216) + 8 52 



2 c> 50 e 



Difference, the former sliorr by . . *0 12 

 Or thus — 



2d. Let it be required to determine the IMoon^s 

 mean longitude, at the end of the year 4100 of tlic 

 Call Yiig, reckoning the years from the beginning 

 of the Calpa of Vaha'ha. 



The years expired of the Calpa of Vaka'ka, at 

 the beginning of tlie Call Vug, . =: 19558S00QQ 



Add 43 00 



Total years expired A. D. 999, . 1953884100 

 ■Hence t ^ ^ 3 s 3 ;^ -t ^ i o 5 5 s a 4 i o o -\ 



. =2(514787/68(5 ret;. . . I ^^- ^ ^" ^^ 

 the jMoon's mean longitude as before. 

 Or thus — 

 3d. Let it be required to determine the ^-looifs 

 mean, longitude, at the end of the year 4100 of 

 the Call Vug, reckoning from the end of the Calpot, 

 as directed in the Graha Vcmnd. 

 The years in the whole Calpa, . =4320000000 

 The years elapsed, as above, . . =:i955884]00 

 Therefore to expire in A. D. 999, 2364115900 

 Hence 1 4 4 3 s 3 ?i 4 x c ? r 4 1 1 5 n . > o -j 



' 1 O 3 i; J ( Qo Of)" to' (](•/ 



=31(505458313 /•ciy;/. . . i ^^' ^-^ ^"^ ^^^ 



* The difference of 1' 2' in liie moon's place, arises from the re- 

 jection of the fraction 6'' in fonninir the number of revolutions — 

 the real quantity being 14438334 rev. Oo. 6", instead of wljich 

 1443833'4 was taken as tlie Uvarest entire number — CractioHh; liot 

 being admitted in the Hindu artificial systenrs, and the error pro- 

 duced in consequence zz: ttjIq o^.f o — ^ '-' '" A. D. £>yt), Iij A. D. 

 1040, the error was nothing ; !,iiue that time it Inw eucreased, 

 acd liow amounts to upwards of eleven laiautcg. 



