Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 262

60
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GAÑITABĪBASANGKAHÁ.
Examples in illustration thereof: 90. O friend, tell me what the denominators are of two (fractional) quantities which have 1 for each of their numerators, when the sum (of those intended fractions) is *; as also of two other intended fractions) which have 6 and 8 (rospectively) for (their) numerators,
91. The sum of , , and 13 is 1. When is left out here, what two (fractions) having 1 (for each of their numerators) have to be added (instead so as to give the same total) ?
92. The sum of }, }, } and as is 1. If z is left out here, what two (fractions) having 7 and 11 for their numerators should be added (instead so as to give the samo total) ?
The rule for arriving at the denominators (of a number of intended fractions) by taking (them) in pairs:
93. After splitting up the sum (of all the intended fractions) into as many parts having one for each of their numerators as there are (numbers of) pairs (among the given numerators), these (parts) are taken (soverally) as the sums of the pairs; (and from them) the (roquired) denominators are to be found out in accordance with the rule relating to two (such component fraotional quantities).
Examples in illustration thereof. 94. What are tho denominators of those intended) fractions whose numerators are 3,5, 13, 7, 9 and 11, when the sum of those fractional) quantities is 1 or ?
The rule for arriving at a number of) denominators, with the help of the denominators that have one as their corresponding) numerators and aro arrived at according to one of the already given) rules (for finding out the denominators), as also with the help of the denominators that have one as their corresponding) numerators and aro arrived at according to any other of those
93. The rules renting to two fractional quantities hate been given in stanzas 86, 87 and 89.