पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२८१

एतत् पृष्ठम् अपरिष्कृतम् अस्ति

CHAPTER IV-MISCELLANEOUS PROBLEMS (ON FRACTIONS). 83 (remaining) 15 (of them) are seen grazing grass on a mountain. How many are they (in all)? 63. (A number) of elephants (equivalent to) of the herd minus 2, as multiplied by that same ( of the herd manus 2), is found playing in a forest of sullak trees. The (remaining) elephants of the herd measurable in number by the square of 6 are moving on a mountain How many (together) are (all) these elephants here? An example of the plus variety. 64. (A number of peacocks equivalent to) of their whole collection plus 2, multiplied by that same (15 of the collection plus 2), are playing on a jumbi tree. The other (remaining) proud peacocks (of the collection), numbering 22 x 5, are playing on a mango tree O friend, give out the numerical measure of (all) these (peacocks in the collection). Here ends the Amsuvarga variety characterised by plus or minus quantities The rule relating to the Malamasra variety (of miscellaneous problems on fractions). 65. To the square of the (known) combined sum (of the square roots of the specified unknown quantities), the (given) manus quantity is addel, or the (given) plus quantity is subtracted (therefrom); (then) the quantity (thus resulting) is divided by twice the combined sum (referred to above); (this) when squared gives rise to the required valne (of the unknown collection). In relation to the working out of the Malamura variety of problems, this is the rule of operation. 64 The word maltamayura occurring in the stanza moans a proud peacock' and is also the name of the metre in which the stanza is composed. 65. Algebraically = 27² m² Fd 1° 2016 This is easily derived from the equa- . tion √ √d=m. The quantity mis here the known combined sum mentioned in the rule.