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 267

GANITASĀRASANGRABA.
CHAPTER IV.
MISCELLANEOUS PROBLEMS (ON FRACTIONS).
The Third Subject of Treatment. 1. After saluting the Lord Jina, Mahāvīra, whose collection of infinite attributes is highly praiseworthy, and who vouchsafes boons to (all) the three worlds that worship (him), I shall treat of miscellaneous problems (on fractions).
2. May Jina, who has destroyed the darkness of unrighteousness, and is the authoritative exponent of the syādváda, and is the joy of learning, and is the great disputant and the best of sages, be (ever) victorious. Hereafter we shall expound the third subject of treatment, viz., miscellaneous problems (on fractions).
3. There are these ten (varieties in miscellaneous probleras on fractions, namely!, Bhāga, Šēsa, Mūla, Sēşamūla, the two varieties
3. The Bhaga variety consists of problems wherein is given the numerical value of the portion remaining after removing certain specified fractional parts of the total quantity to be found out. The fractional parts removed are each of them called a bhaga, and the numerical value of the known remainder is termed drsya.
The 8 a variety consists of problems wherein the numerical value is given of the portion remaining after removing a known fractional part of the total quantity to be found out as also after removing certain known fractional parts of the successive 87 as or remainders.
The Müla variety consists of problems wherein the numerical value is given of the portion remaining after subtracting from the total quantity certain fractional parts thereof as also a multiple of the square root of that total quantity.
The Sēsumulu variety is the same as the müla variety with this difference, viz.. the square root here is of the remainder after subtracting the given fractional parts, instead of being of the whole.
The Dviragra-s ramula variety consists of problems wherein a known number of things is first removed, then some fractional parts of the suocessive remaindera and then some multiple of the square root of the further remainder are removed, and lastly the numerical value of the remaining portion is given. The known number first removed is called pūrvagra.
In the Ameamula variety, a multiple of the square root of a fractional part of the total number is supposed to be first removed, and then the numerical value of the remaining portion is given.