﻿OF THE HINDUS. 247 



<f tained between the jya and its arc, or that line 

 '* which represents the arrow of a bow, must be exa- 

 " mined, and the number of minutes therein con- 

 " tained and taken for the utcramajya. The circle 

 '* may represent any space of land; the hhujajya * is 

 <c the bhuja; the cotijya the cot, and -the trijya the 

 " carna. The square of the hhujajya deducted from 

 " the square of the trijya, leaves the square of the 

 " cotijya}, the root of which is the cotijya; and, in 

 *' rhe same manner, from the cotijya is determined the 

 " hhujajya. The cotyutcra??:ajya deducted from the 

 " trijya, leaves the bhujacramajya. The bhujot-crama- 

 " jya deducted from the trijya, leaves the coticramajya. 

 When the hhujajya is the first division of the trijya, 

 the cotijya is the twenty-three remaining divisions ; 

 which cotijya deducted from the trijya, leaves the 

 bhujotcramajya. On this principle are the jyas gi- 

 ven in the text :-j-they may be determined by calcu- 

 6i lation also, as follows ; 



" The trijya take as equal to 3430 minutes, and con- 

 <c taining twenty-four jyafifrcfhs ; its half is the jya of 

 " one sine or 1719'; which is the eighth jyapinaWi or 

 " the sixteenth cotijyapnda. The square of the 

 <( trijya multiply by 3, and "divide the' product by 

 " 4, the square root of the quotient is the jya of 

 " two sines, or 2977'. The square root of half the 

 " square of the trijyakjhejya of one sirifc and an half 

 " (45 ) or 2431' j which deducted from the trijya 

 " leaves the utcramajya 1007'. % tR ^ s utcramajya 

 " multiply the trijya ; the square root of half the pro- 

 " duct is the jya of 22 , 30', or 131 3". The square 

 iC of this deduct from the square of the trijya, the 



* Bbujajya, the sine complement. 



f A diagram might here be added for illustration, but it must 

 be unnecessary to any one who has tlie smallest knowledge at 

 Geometrv. 



R 3 



