Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 278

1
76
GANITASAKASANGRAHA.
1
the big theatre of the mountain top; and 5 times the square root (of that collection) stayed in an excellent forest of cakulu trees; and (the remaining) 25 wore seen on a punnaga tree. O arithmetician, give out after calculation (the numerical measure of) the collection of peacocks.
36. One-fourth (of an unknown number) of sarasa birds is moving in the midst of a cluster of lotuses; and parts (thereof) as well as 7 times the square root (thereof) move on a mountain; (then) in the midst of (some) blossomed vakula trees (the remainder) is (found to be) 56 in number. O you clever friend, tell me exactly how many birds there are altogether.
37. No fractional part of a collection of monkeys (is distributed anywhere); three times its square root are on a mountain; and 40 (remaining) monkeys are seen in a forest. What is the measure of that collection (of monkeys)?
38. Half (the number) of cuckoos were found on the blossomed branch of a mango tree; and 18 (were found) on a lilaka tree. No (multiple of the) square root (of their number was to be found anywhere). Give out (the numerical value of) the collection of cuckoos.
39. Half of a collection of swans was found in the midst of vakula trees; five times the square root (of that collection was found) on the top of tamala trees; and here nothing was scen (to remain thereafter). O friend, give out quickly the numerical monsuro of that (collection).
Here ends the Mula variety (of miscellaneous problems on fractions).
The rule relating to the Sesamule variety (of miscellaneous problems on fractions).
40. (Take) the square of half (the coefficient) of the square root (of the remaining part of the unknown collective quantity), and
2
40. Algebraically, br
{S + √ (2)2 + a} 2 From this the value
of r is to be found out according to rule 4 given in this chapter. This value of
abe is obtained easily from the equation x-br+ (ex-bx + a ) = 0.