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 272

CHAPTER 1V-MISCELLANEOUS PROBLEMS (ON FRACTIONS). 75
32. Of (the contents of) a treasury, one man obtained part; others obtained from in order to , in the end, of the successive remainders; and (at last) 12 purānas were seen by me (to remain). What is the (numerical) measure of the purānas contained in the treasury) ?
Here end examples in the Sesa variety.
The rule relating to the Müla variety of miscellaneous problems on fractions) :--
33. Half of the coefficient of the square root of the unknown quantity) and (then) the known remainder should be (each) divided by one as diminished by the fractional (coefficient of the unknown) quantity. The square root of the (sum of the) known remainder (80 treated), as combined with the square (of the coefficient of the square root (of the unknown quantity dealt with as above), and (then) associated with the similarly treated coefficient of) the square root (of the unknown quantity), and (thereafter) squared (as a whole), gives rise to the required unknown) quantity in this mūla variety of miscellaneous problems on fractions).
Exampies in illustration thereof. 34. One-fourth of a herd of camels was seen in the forest; twice the square root (of that herd) had gone on to mountainslopes; and 3 times 5 camels (were), however, (found) to remain on the bank of a river. What is the (numerical) measure of that herd of camels ?
35. After listening to the distinct sound caused by the drum made up of the series of clouds in the rainy season, and (of a collection) of peacocks, together with of the remainder and of the remainder (thereafter), gladdened with joy, kept on dancing on
33. Algebraically expressed, this rule comes to
2
}; this is easily obtained from tho
1l--
bu
equation - (bw + CW +a)=0. This equation is the algebraical expression of problems of this variety. Here c stands for the coefficient of the square root of the unknown quantity to be found out.