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 402

200
GANITASĀRASANGRAHA.
56. In the case of a longish quadrilateral, the (horizontal) side is 12 in measure and the perpendicular side is 5 in measure. Tell me quiokly what the measure of the diagonal is and what the acourate measure of the area.
57. The basal side of an equi-bilateral quadrilateral is 36. One of the sides is 61 and the other also is the same. The top side is 14. What is the diagonal and wbat the socurate measufe of the
area P
58. In the case of an equi-trilateral quadrilateral, the square of 13 (gives the measure of an equal side); the base, however, is 407 in measure. What is the value of the diagonal, of the basal segments, of the perpendicular and of the arca ?
59. The (right and the left) sides of an inequilateral quadrilateral are 13 x 15 and 13 x 20 (respectively in measure); the top side is 5%, and the side below is 300. What are all the values here beginning with that of the diagonal ?
Hereafter (are given) the rules for arriving at the minately acourate values relating to curvilinear figures. Among them tho rule for arriving at the minutely accurate values relating to a circular figure is as follows:
80. The diamotor of the circular figuré multiplied by the square root of 10 becomes the circumference (in measure). The cimumference multiplied by (one-fourth of the diameter gives the area. In the case of a semicircle this happens to be half of what it is in the case of the oircle).
Examples in illustration thereof. 61. In the case of one (cironlar) field the diameter of the circle is 18; in the case of another it is 60; in the case of yet another it is 22. What are the ciroumferences and the areas ?
60. The value of a given in this stansa is vlo, which is equal to 8-16........ Compare this with the more approximate value in (= 8:1416) given by Aryabhata. Bhänkaricdrys also given to it the mme valde, and represents it in reduced tormi sa