560 ON THE ANTIQUITY OF 



number of years then expired of the Cali yu^^ we 

 shall have ^ ""^^^^ '" =365 ""^^ IS"" SO'. 14" 25'", the 

 length of the Hindu year in A. D. 1799, upon the 

 supposition that Chitra is exactly six signs distant 

 from the Sun the moment he enters Aries according 

 mean motions. 



40. The Sun is found to revolve from any fixed 

 Star to the same again in 365 '''" 6" 9' 1 1" 36'", which 

 is the length of the sidereal ye-r, as determined, by 

 'European astronomers. Hence, after the expiration 

 of one compleat sidereal year, from the time above 

 determined, the Sun would again return to the same 

 position with respect to Spica : it may therefore be 

 asked, why is the Hindu year longer than the side- 

 real year of the European astronomers.'' To under- 

 stand the reason of this, it must be observed that at 

 the time above determined, at which the Sun and 

 Star would be exactly six signs distant from each 

 other the number of days expired of the Cali yug^ 

 would be precisely - =178i)766 9 37 36 

 But4900siderealyears,make only 1789756 16 58 

 Difference, - - 9 52 39 16 

 Hence it follows, that as the number of days ex- 

 pired of the Cali yug at the time, exceeds the num- 

 ber in 4900 sidereal years, by nearly ten days; that 

 difference, when divided amongst the years expired, 

 mufl evidently cause an excess in the length of the 

 Hindu year, above the sidereal. 



41. Hence also, the length of the Hindu year, may 

 be commodiously obtained, at any proposed period, 

 by the following formula: 



Let rf = 9''^' 52"° 39' 16" 



s= 365 15 22 59 = the sidereal year, 

 h = length of the Hindu year, 

 n = number of years expired of the Cali yug^ 



Then 



