Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 273

76
GANITASARASANGRAHA.
the big theatre of the mountain top; and 5 times the square root (of that collection) stayed in an excellent forest of vakula trees: and (the remaining) 25 were seen on a punnāga tree. O arithmetician, give ont 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 aro 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 tilaka trec. No (multiple of the) square root (of their number was to be found. anywhere). Give out (the numerical valuc 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 measure of that (collection).
Here ends the Mula variety (of miscellaneous problems on fractions).
The rule relating to the Seṣamula 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, xbx
(+√()
From this the value
÷
of a is to be found out according to rule 4 given in this chapter. This value of - ba is obtained easily from the equation xbx+ (c √ x − bx + α) = 0.
+ a
a}
2