Book Title: Ganitasara Sangraha of Mahavira
Author(s): Rangacharya
Publisher: Rangacharya

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Page 268
________________ 66 GANITASĀRASANGRAHA. The rulo for finding out any unknown fraction in other required places (than the beginning) : 125. The optionally split up parts of the (given) sum, when divided in order by the simplified known quantities (in the intended Bhāgānubandha fractions), and (then) diminished by one, become the unknown (fractional quantities) in the required places of our choice. Thus ends the Bhāgānubanıtha class (of fractions). Bhagapavāha Fractions. Thon (comes) the rule for the (simplification of) Bhägapaviha (or the dissociated) variety (in fractions) : 124. In the operation concerning (the simplification of the Bhāgāpavāha class (of fractions), subtract the numerator from the (product of the dissociated) whole number as multiplied by the donominator. (When, however, the dissociated quantity is not integral, but is fractional, mulitiply (respectively) the numerator and the donominator of the first (fraction to which the other fraction is negatively attached) by tho denominator diminished by the numerator, and by the denominator (itself, of this other fraction). Examples on Bhigīpaväha fractions containing dissociated integera. 127. Karsus 3, 8, 4 and 10, diminished by 1, 1, !, and of a karsa, are offered by certain men for the worship of tirthaikaras. What is (the sum) when they are added ? vrally weapouleu. Wheneracted from 125. The method given in this rule is similar to what is explained under stanza No. 122: only the results thus obtained have to be, in this cas, ench diminished by one, 126. Bhriga pariha literally means fractionnl dissociation. As in Bhagánu bandha, there are two varieties here also. When an integer and a fraction are in Bhaiyapavviha relation, the fraction is simply subtracted from the integer. Two or more fructions may also be in such relation, as for example, disguci. ated from of itself or dissociated from , and, of itself. It is meant bere " that of is to be subtracted from in the first esample; and tbe second example comes to 9–of 9 – 60f (9–4 of 9)-6 or.{l-/of B-1 of (9 – of 9)}.

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