1875.] G. Thibaut— On the S'uhasutras. 249 



Increase 12 by 6 ; result 18 ; make a mark at a third, (reckoning 

 from 18 ; that would be at 12) less the sixth part of that third (i. <?., a 

 sixth part before the third) i. e., at 13. Thus we get a rectangular trian- 

 gle of 5, 12, 13. 



The same rule in the S'ulvaparis'ishta : 



Here, as in many other places, the paris'ishta is much clearer and more 

 practical in the wording of its rules than the more ancient sutras. The 

 mark is, according to its expression, to be made not at the western third 

 less its sixth part, but simply at a sixth of the added piece (6 is added to 

 12; the mark is made at 13). 



Another method for chaturasrakarana, taught by A'pastamba only, 

 makes use of the above-mentioned savis'esha. 



trrw H'^t ?rsi^ qfriitf sffr^ ^farfg^T ^r^«r ^f%^T^iT^r5«w^ 



Fix poles on both ends and the middle of the prishthya line, add to 

 a cord of half the length (of the prishthya) its vis'esha, i. e., its third plus 

 the fourth part of the third minus the thirty-fourth part of that fourth 

 part, and add moreover a piece of the length of half the prishthya, after 

 having made a mark (to separate the two parts of the cord). Then tie the 

 savis'esha part of the cord to the middle pole, the other part to the eastern 

 pole, and fix the south-east corner of the square by stretching the cord 

 (towards the south), having taken it at the mark. Untie the end of the 

 cord from the eastern pole, &c. 



This method is of course inferior to those described above and cer- 

 tainly unnecessary ; Baudhayana does not mention it. 



I subjoin the remaining methods for chaturasrakarana, which do not 

 presuppose the knowledge of the Pythagorean theorem. 



Apastamba : 



TwHTRRI xn^T^^^f^fH "ST^f^'SW'SrqT: tU^T sifrHpI *f^T ^r^'^T 



•qpR^^T* ^ ^*^ ^^rr^;irc%^ifcnpj WW^ ^T^R" ^f^T^ %f^i- 



Take a cord of the length of the measure (of the side of the required 

 square), and make ties at both its ends, a mark at its middle and at the 

 middle points of its halves. Stretch the cord on the prishthya line, and fix 

 poles on the points marked by the two ties of the cord and by the three 



