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 272

GAŅITASĀRASANGRAHA.
CHAPTER IV.
MISCELLANEOUS PROBLEMS (ON FRACTIONS).
The Third Subject of Treatment. 1. After saluting the Lord Jina, Mahavira, whose collection of infinite attributes is highly praise worthy, 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 syāulvvida, and is the joy of learning, and is the great disputant and the best of sages, bo (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, Bhaga, Sesa, Māli, Sesamüla, the two varieties
3. The Bhaiya variety consists of problemy 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 tre each of thom called u bhiya, and the nomorical value of the known remainder is termed driyat.
The a variety consists of problems wherein the numerical value is given of the portion remaining after removing a known fructional part of the total quantity to be found out is also after removing curtain known fractional parts of the successive di as or remainders.
The Mala variety consists of problems whervin the numerical value is given of the portion remaining after subtracting from the total quantity certain fractional parts thereof as I it multiple of the Nuare root of that total quantity.
The Sumülle variety is the name as the maila variety with this difference, vis., the Biulare root here is of the remain-ler after subtracting the given fructional parts, instead of being of the whole.
The Dviraya.pamul variety consists of problems wherein a known number of things in the removed, then some fractional parts of the successive remainders and then some multiple of the square foot of the further remainder are removed, and lastly the numerical value of the remaining portion is given. 'The known number first removed is called firingra.
In the d iamella variety, a multiple of the muare root of a fractional part of the total number in fupponed to be first removed, and then the numerical value of the remaining portion is given.