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 267

CHAPTER III-PRACTIONS
65
120. O friend, subtract (the following) from 3: associated with $ of itself and with of this (associated quantity), 3 Assvoiated with, and of itself (in additive consoontion), similarly) Associated with (fractions thereof) commencing with and onding with , and associated with of itself.
121. O friend, you, who have a thorough knowledge of Bhaga. nubandha, give ont (the result) after adding associated with of itself, to associated with of itself, l associated with of itself,
associated with of itself, and associated with of itself.
Now the rule for finding out the ono unknown (clement) at the beginning (in cach of a mumber of associated fractions, their sum being given):
122. The optionally split up parts of the given) sum, which are equal (in mumber) to the intended) component clements (thercol), when divided in order by the resulting quantities arrived at by taking one to be the associate quantity (in relation to those component elements, give rise to the value of the (required) unknown (quantities in association).
E.complex in illustration t
ool.
123. A certain fraction is associated with lud of itself (in additive consecution); another (in similarly associata) with 1, 2, and, of itself; and another again is similarly storiated) with }, . and 1 of itself; the sum of those (threr fructions 40 MHHO) ciated) is 1 : what are these fractions ?
124. A certain fraction, when associated (analove) with }, }, 1 and 1 of itself. lecomes. Toll me, friend, quickly the measuro of this unknown (fraction).
122. This rule will be clear from the working of Naple No. 123 * *xplained below:--
There are three oth of fraction given and splitting up the mum, 1into three fractions recording to rule No. 75. Wek a nd. By dividing them fructions by thu quantities obtained by simplifying the three kiyn Nets of fractions wherein 1 is usilmed as the unknown quantity, webtuin ! and it, which are the required quantitire.