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

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INDIAN MATHEMATICS.

54. The circumferential arrows are 18 in number. How many are the arrows in the quiver?

Answer—37. M. 289.

The rule given is 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. S. 93.

The rule given is .

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. S. 96.

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. S. 102.

The rule used assumes that .

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. M.. vii, 75.

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.M. vii, 72.

The rule used is .

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L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=Srīdhara, C=Chaturveda.