202 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 conchiform figure. An example in illustration thereof. 66. In the case of a conchiform curvilinear figure the (maxi- mum breadth is 18 dundas, and the breadth of the mouth is 4 (dandas). What is the measure of the perimeter and what the minutely accurate measure of the area as calculated? The rule for arriving at the minutely accurate, measures in relation to outreaching and inlying annular figures 67. 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. 68. Eighteen dandas measure the (inner or the outer) dia- meter of the annulus (as the case may be); the breadth of the annulus is, however, 3 (dandas). You give out the minutely accurate value of the area of the outreaching as well as the inlying annular figure. 69. 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 measure of the mouth of a conchiform figure. As observed in the note relating to stanza 23 of this chapter, the figure intended 18 obviously made up of two unequal semicircles.
पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/४००
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