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 276

CHAPTER IV-MISCELLANEOUS PROBLEMS (ON FRACTIONS). 79
Examples in illustration thereof.
48. A single bee (out of a swarm of bees) was seen in the sky; of the remainder (of the swarm), and of the remainder (left thereafter), and (again) of the remainder (left thereafter), and (a number of becs equal to) the square root (of the numercial value of the swarm, were seen) in lotuses; and two (bees remaining at last were seen) on a mango tree. How many are those (bees in the swarm)?
49. Four (out of a collection of) lions were seen on a mountain; and fractional parts commencing with and ending with of the successive remainders (of the collection), and (lions equivalent in number to) twice the square root (of the numerical value of the collection), as also (the finally remaining) four (lions), were seen in a forest. How many are those (lions in the collection)?
50. (Out of a herd of deer) two pairs of young female deer were seen in a forest; fractional parts commencing with and ending with of the (successive) remainders (of the herd were seen) near a mountain; (a number) of them (equivalent to) 3 times the square root (of the numerical value of the herd) were seen in an extensive paddy field; and (ultimately) only ten remained on the bank of a lotus-lake. What is the (numerical) measure of the herd?
Thus ends the Sesamula variety quantities.
2
The rule relating to the Amsamula variety (of miscellaneous problems on fractions).
51. Write down (the coefficient of) the square root (of the given fraction of the unknown collective quantity) and the known quantity (ultimately remaining, both of these) having been
+ a
involving two known
50. The word harini occurring in this stanza not only means a female deer ' but is also the name of the metre in which the stanza is composed.
51. Algebraically stated, this rule helps us to arrive at cb and ab, which are required to be substituted for c and b respectively in the formula - b
{ + √(2
2
, as in the & samalla variety. As pointed out in the note