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

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Page 286
________________ GANITASĀRASANGRAHA. Examples of the minus variety. 66. On adding together (a number of pigeons equivalent to) the square root of tho (whole) collection of pigeons and another number cquivalent to the square root of the whole) collection as diminished hy 12, (exactly) 6 pigeons are seen (to be the result). What is the numerical value of) that collection (of pigeong, ? 67. The sum of two (quantities, which are respectively oquivalent to the square roots of the (whole) collection of pigeons and of (that same) collection as diminished by the cube of 4, amounts to 16. How many are the birds in that collection ? An example of the plus variety. 68. The sum of the two quantities, which are respectively equivalent to the) square root of the numerical value) of a collection of superior swans and (the square root of that same collection) as combined with 68, amounts to 1 - 2. Give out how many swand there are in that collection. Here ends the Malamisra variety. The rule relating to the Bhinnudraya variety of miscellaneous problems ou fractions): 69. When we, diminished by the given) fractional remainder (related to the nuknown quantity), is divided by the product of the (specified fractional parts (related thereto), the result which is (thus) arrived at hecomos the (required) answer in working out the Bhinneyu variety of problems on fractions). Examples in illustration thereof. 70. Que-eighth part of a pillar, as multiplied by the part (of that same pillar), wus found to be buried) in the sands; } of the pillar was visible (above). Say how much the (vertically measured) longth of the pillar is. 09. Alyebraically stated, 03. algebraically atutoit, e = (1-1) = equation • - - = "P. This is obvious from the ng

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