Mr. Wursu on the Hindi Quadrature of the Circle. 511 
In the sdstra named Téntra Sangraha, we find the following lines : 
Ishta vyasé haté nagavédavahnyabdhichéndubhih 
Tithyaswivibudhairbhacté sustcshmah paridhirbhavet 
Paridhérvyatyaydchaivamsusicshmam vyasamanayeét 
Tithyaswivibudhairnighndt chachatancéndunétratah 
Stcshmé vydschi védagni critcbhréndu hritéthava 
Trisaghna chacra liptabhy6é vydsortthéshwagnibhirhritéh. 
Which are thus translated : 
«* Multiply any given diameter by 104348, and divide the product by 33215; the 
«* quotient is a very correct circumference. To find the diameter, if the circumference 
* be given, reverse the above numbers. If then you multiply the astronomical circum- 
* ference by 33215, and divide the product by 104348, you will have the diameter in 
<< terms of minutes of the periphery ; or it will be sufficiently exact if you multiply 
the circumference by 113, and divide by 355, for a diameter.” 
” 
* 
¢ 
The astronomer’s circle, anantapura or “ the universe,” and chachatan- 
cendunetram, is, according to alphabetical notation and symbols respectively, 
21600, that is, the terms of the minutes in the circumference of twelve 
signs, containing each thirty degrees. In the first proportion of 33215 to 
104348, if the diameter of a circle be 1, the circumference will be 
3.141592653921, &c., which is an excellent approximation, being correct 
to the ninth place of decimals, the tenth being too large; the second 
proportion, 113 to 355, that of Merius, is a very useful one, being as 1 to 
3.1415929, &c., correct to the sixth place of decimals, the seventh being 
rather more than the truth. 
In another work, named Carana-Padhati, and in one called Sadratnamala, 
are the two following verses ; the first is from the former work : 
Aninanutnénananunnanuty ath 
Samdhataschacra kdlavibhactah 
Chanddmsuchandrddhama cumbhipdlaih 
Vydsastadardhantribhamaurvicasydt. 
« If the circumference of a circle in minutes be multiplied by 10000000000, and the 
“ product be divided by 31415926536, the quotient will be the diameter of the circle 
« in terms of the minutes of the circumference, and its half will be the radius.” 
In the latter work is the subjoined verse : 
Evanchatra pardrdha vistritimahd vrittasya nahocsharaih 
Syddbhadrdmbudhi sidha janma ganitasraddsmayadbhapigih. 
