पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२६३

CHAPTER III-FRACTIONS. 65 3 120. O friend, subtract (the following) from 3: with of itself and with of this (associated quantity), with, and of itself (in additive consecution), associated with (fractions thereof) commencing with and ending with, and associated with of itself. 3 121. O friend, you, who have a thorough knowledge of Bhagā- nubandha, give out (the result) after adding associated with of itself, associated with of itself, associated with of itself, associated with of itself, and associated with of itself. associated associated (similarly) Now the rule for finding out the one unknown (element) at the beginning (in each of a number of associated fractions, their sum being given):- 122. The optionally split up parts of the (given) sum, which are equal (in number) to the (intended) component elements (thereof), when divided in order by the resulting quantities arrived at by taking one to be the associated quantity (in relation to these component elements), give rise to the value of the (required) unknown (quantities in association). Examples in illustration thereof. 123. A certain fraction is associated with, and of itself (in additive consecution); another (is similarly associated) with ,, and of itself; and another (again is similarly associated) with 3, and of itself: the sum of these three fractions so asso- ciated) is 1 what are these fractions ? 124 A certain fraction, when associated (as above; with ,, and of itself becomes. Tell me, friend, quickly the measure of this unknown (fraction). 122. This rule will be clear from the working of ample No. 123 ds explained below - There are three sets of fractions given, and splitting up the sum, 1, into thive fractions according to ule No 75, we got 1. ud. By divuling these fractions. by the quantities obtained by simplitsing the three given ser- of factions. wherein 1 is assumed as the unknown quantity, we obtain, and, who h are the required quantities. 9