Ganitatilaka (Sanskrit text and English introduction)
by H. R. Kapadia | 1937 | 49,274 words
The Sanskrit text of the Ganitatilaka with an English introduction and Appendices. Besides the critically-edited text, this edition also includes the commentary of Simhatilaka Suri. The Ganitatilaka is an 11th-century Indian mathematical text composed entirely of Sanskrit verses and authored by astronomer-mathematician Shripati. The text itself dea...
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APPENDIX I 99 Ex. 121, p. 68. If one and a half palas of musk can be obtained for twelve and one-fourth drammas, then for what can we obtain seven and one-third palas?1. Ans. 59 drammas, 14 panas and 17 kapardikas. Ex. 122, p. 69. Oh learned individual! if you know trairashika, let it be said as to how many palas of camphor can be had for 100 drammas when palas of camphor can be had for 16 drammas-the camphor which vies with the beauty of the split of the tusks of a lordly elephant and to which a swarm of bees is called (attracted) by (its) odour. Ans. 9 palas, 1 dhataka, and 1135 vallas. Ex. 123, p. 70. When the amount in futurity on 100 is 6, tell, oh friend! what is the amount in a total of 1000? [This comes to saying: Oh friend! tell (me) what 1000 will yield when 106 yield 6? ] Ans. 56. Ex. 124, p. 70. Oh ganaka! if I dhatakas of kunkuma are obtained for 5 panas, how much will 1 1/2 palas cost? Ans. 4 drammas, 10 panas, 2 kakinis and 133 kapardakas. Ex. 125, p. 71. Oh friend! if 21 manikas are obtained for 8 minus (8-) panas, say for what 100 manikas can be had. Ans. 19 drammas, 12 panas, and 4 kapardakas. Ex. 126, p. 71. Oh learned man! if 21 manis of corn can be had for 6 drammas, tell me quickly what can be had for 80 drammas, in case your intellect in sankhyas'astru (the science of numbers) is developed. Ans. 28 manikas and 21 harikas. Ex. 127, p. 72. Oh one with good intelligence! if a certain lord of elephants having a series of bees roaming about his cheeks starts to go, on remembering the sport with a female elephant of Vindhya and goes one-third of one half (i. e. 1) yojana in 1 days (lit. two less by half), then within how many days can he go 70 yojanas? Ans. 1 year and 9 months. Ex. 128, p. 73. If a serpent having a body three and a half hands (in length) goes in a hole one and a half angulas in one-third of a ghati, oh ganaka! say quickly in what time it will enter it. Ans. 18 ghatikas and 40 palas. Ex. 129, p. 73. If one gadyanaka of gold along with one dharana of it is really obtained for 14 drammas, oh friend! how much gold can be had for ninety minus one-third (90-) drammas? Ans. 9 gadyanakas, 4 nispavas and 21 yavas. 1 Cf. Ganitasarasangraha p. 59 (v. 9).
