Page:Indian mathematics, Kaye (1915).djvu/78

 54. The circumferential arrows are 18 in number. How many are the arrows in the quiver? Answer—37. The rule given is $$\scriptstyle{n=\frac{(c+3)^2+3}{12}}$$ where c is the number of arrows in the outside layer. 55. Tell me, if thou knowest, the content of a spherical piece of stone whose diameter is a hasta and a half? Answer—$$\scriptstyle{1\frac{25}{32}}$$. The rule given is $$\scriptstyle{v=d^3(\frac{1}{2}+\frac{1}{2.18})}$$. 56. A sacrificial altar is built of bricks 6 añgulas high, half a hasta broad and one hasta long. It is 6 hastas long, 3 hastas broad and half a hasta high. Tell me rightly, wise man, what its volume is and how many bricks it contains. Answer—9, 72. 24 añgulas=1 hasta. 57. If thou knowest, tell me quickly the measure of a mound of grain whose circumference is 36 and height 4 hastas? Answer—144. The rule used assumes that $$\scriptstyle{\pi=3}$$. 58. In the case of a figure having the outline of a bow, the string measure is 12, and the arrow measure is 6. The measure of the bow is not known. Find it, O friend. Answer—$$\scriptstyle{\sqrt{360}}$$. 59. In the case of a figure having the outline of a bow the string is 24 in measure, and its arrow is taken to be 4 in measure. What is the minutely accurate value of the area? Answer—$$\scriptstyle{\sqrt{5760}}$$. The rule used is $$\scriptstyle{S=\frac{ac\sqrt{10}}{4}}$$.

L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=SrīdharaŚrīdhara [sic], C=Chaturveda.