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

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GANITASĀRASANGRAHA,
breadth of the figure) as diminished by half the (breadth of the mouth, and the square of one-fourth of the (breadth of the) mouth are added together; and the resulting sum is multiplied by the square root of 10. This gives rise to the minutely accurate measure of the area in the case of the conobiform figure.
An example in illustration thereof.
66,. In the case of a conchiform ourvilinear figure the (maxi. mum breadth is 18 dandas, and the breadth of the mouth is 4 (dandas). What is the measure of the perimeter and what the minutely acourate measure of the area as caloulated P
The rule for arriving at the minutely acourate measures in relation to outreaching and inlying andular figures :
671. The (inner) diameter, to which the breadth of the annulus) is added, is multiplied by the square root of 10 and by the breadth (of the annulus). This gives rise to the value of the area of the out-reaching annulus, The (outer) diameter as diminished by the breadth (of the annulus) gives rise (on being treated in the same manner as above) to the value of the area of the inlying annular figure.
Examples in illustration thereof.
.
881. Eighteon dandas measure the inner or the onter) dia meter of the annulus (as the case may be); the breadth of the annulus is, however, 3 (ilandas). You give out the minutely accurate value of the area of the outreaching as well as the inlying annular figure.
694. The (outer) diameter is 18 dandas, and the breadth of the inlying annulus is 4 dandas. You give out the minutely accurate value of the area of the inlying annular figure.
maximum breadth, and m the mesuure of the month of a conchiform figare. As observed in the note relating to stanna 23 of this chapter, the figure intepded in obviously made ap of two unequal semigiroles.