Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 281

GAŅITASĀRASANGRAHA.
Examples of the minus variety. 66. On adding together (a number of pigeons equivalent to) the square root of the (whole) collection of pigeons and another number equivalent to) the square root of the (whole) collection as diminished by 12, (exactly) 6 pigeons are seen (to be the result). What is the numerical value of) that collection (of pigeons)?
67. The sum of two (quantities, which are respectively equivalent 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 swans there are in that collection,
Here ends the Mulamiéra variety.
The rule relating to the Bhinnadráya variety of miscellaneous problems on fractions) :
69. When one, diminished by the (given) fractional remainder (related to the anknown quantity), is divided by the product of the specified) fractional parts (related thereto), the result which is (thus) arrived at becomes the required) answer in working out the Bhinnalisya variety of problems on fractions).
Examples in illustration thereof. 70. One-eighth part of a pillar, as multiplied by the part (of that same pillar), was found to be buried) in the sands; of the pillar was visible (above). Say how much the (vertically measured) length of the pillar is.
69. Algebraically stated, 2 =
mp. This is obvious from the ng
equation « -
.*
--*=0.