पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२६५

CHAPTER III-FRACTIONS. 128 Tell me, friend, quickly the amount of the money remain- ing after subtracting from 6 x 4 of it, (the quantitics) 9,7 and, 9 as diminished in order by , and . 67 Examples on Bhagapavaha fractions containing dissociated fractions. 129. Add ,,, and which are (respectively) diminished by ,,, and of themselves in order; and (then) give out (the result) 130. (Given) of a pana diminished by, and of itself (in consecution); (similarly) diminished by, and of itself; (similarly) diminished by, and of itself; and another (quantity), viz., diminished by of itself-when these are (all) added, what is the result? 131. If you have taken pains, O friend, in relation to Bhaga- pavāla fractions, give out the remainder after subtracting from 12 (the following quantities): diminished (in consecution) by, and of itself; also (similarly) diminished by, and of itself; and (also) (similarly) diminished by and of itself. Here, the rule for finding out the (one) unknown element at the beginning (in each of a number of dissociated fractions, their sum being given):- 132 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 dissociated quantity (in relation to these component elements), give rise to the value of the (required) unknown (quantities in dissociation). Examples in illustration thereof. 133 A certain fraction is diminished (in consecution) by, and of itself; another fraction is (similarly) diminished by , and of itself; and (yet) another is (similarly) diminished by , 132. The working is similar to what has been explained under stanza No. 122.