244 



G. Thibaut — On the S'ulvasutrcts. 



[No. 3, 



Baudhayana : 



For a literal translation of this difficult sutra and a discussion of the 

 word "vridhra", see the ' Pandit' of June 1st, 1875, p. 17. The sense is 

 as follows : 



A'pastamba : The combining of two squares of equal size has been 

 taught ; the following is the method for combining two squares of different 

 sizes. Cut off from the larger square an obiong with the side of the small- 

 er square (i. e., an oblong one side of which is formed by the side of the 

 larger square, the other by that of the smaller square) ; the diagonal of 

 this oblong combines both squares (is the side of a square the area of 

 which is equal to the area of both the given squares together). 



Baudhayana : 



If you wish to combine two squares of different size, cut off an oblong 

 from the larger square with the side of the smaller one ; the diagonal of 

 that oblong is the side of both squares combined. 



Katyayana : 



The method needs no further explanation ; it is in fact the same we 

 employ for the same purpose. 



"We proceed to the rule for deducting one square from another. 

 Baudhayana, A'pastamba : 



See the ' Pandit', he. cit. 



If you wish to deduct one square from another, cut off from the larger 

 one an oblong with the side of the smaller one ; draw one of the sides of 

 that oblong across to the other side ; where it touches the other side, that 

 piece cut off ; by it the deduction is made. 



abcd = the larger square ; cut off from it the 

 oblong b d e f, in which e d and b f are equal 

 to the side of the smaller square which is to be 

 deducted. Fasten a cord e f at e, and draw it 

 across the oblong into the position e g ; then d g 

 is the side of a square the area of which is 

 equal to the difference of the two given squares. 

 (dg 2 = eg 2 — ed 2 ). 



Katyayana words his rule as follows : 



