82 GANIPASARASANGRAHA. on a mango tree; of the remainder as multiplied by that sanie part of that same remainder), as also (the remaining) fourteen How many ale (peacocks) were found in a grove of tamala trees they (in all)? 60. One-twelfth part of a pillar, as multiphed by part thereof, was to be fcand under water; of the remainder, as multiplied by thereof, was found (buried) in the mire (below); and 20 hastas of the pillar were found in the air (above the water). O friend, you give out the measure of the length of the pillar Here ends the Bhagasumvarya variety. The rule relating to the Amara ya variety (of miscellaneous problems on fractions), characterised by the subtraction or addition (of known quantitics) 61. (Take) the half of the denominator (of the specified frac- tional part of the unknown collective quantity), as divided by its own (related) numerator, and as increased or diminished by the (given) known quantity which is subtracted from or added to (the specified fractional part of the unknown collective quantity). The square root of the square of this (resulting quantity), as diminished by the squarc of (the above known) quantity to be subtracted or to be added aud (also) by the known romainder (of the collective quantity), when added to or sub- tracted from the square root (of the square quantity mentioned above) and then divided by the (specified) fractional part (of the unknown collective quantity), gives the (required) valne (of the unknown collective quantity). Examples of the minus rarely. 62. (A number) of buffaloes (cquivalent to) the square of (of the whole herd) minus 1 is sporting in the forest. The 61. Algebraically,
- =
•={+N n = 2m ±a) ². - d is obtained from the equation - given known quantity. ( a + m 12 n - 2m 2
- Fa) ²
- a) ) = m /.
This value - a = 0, where d is the
