Book Title: Ganitasara Sangraha
Author(s): Mahaviracharya, M Rangacharya
Publisher: Government of Madras

View full book text
Previous | Next

Page 474
________________ Shri Mahavir Jain Aradhana Kendra www.kobatirth.org Acharya Shri Kailassagarsuri Gyanmandir CHAPTER X-CALCULATIONS RELATING TO SEADOWS, 277 is doubled ; with the resulting) quantity the measure of the (whole) day-time is divided. It should be made out that this gives rise, according to the mathematical work (known as) Sārasangraba, to the portion of the day elapsed in the forenoon and also to the portion of the day remaining in the afternoon. An example in illustration thereof. 91. The length of the) shadow of a man is 3 times (bis height). Say, dear friend, what portion of the day has gone in the forenoon, or what portion of the day remains in the afternoon. The rule for arriving at the corresponding number of) ghatās, when the portion of the day (elapsed or to elapse) has been arrived at (already). 101. The (known) measure of (the duration of) the day inultiplied by the numerator and divided by the denominator of the fraction representing the (already arrived at) portion of the day (elapsed or to elapse) gives rise to the ghatīs elapsed in relation to the forenoon, and to the ghatīs to elapse in relation to the afternoon. An example in illustration thereof. 113. In a region without the equinoctical shadow, $ part of the day has elapsed; (or in relation to the afternoon), the remaining portion (of the day which has to elapse) is also š. What are the ghațīs (corresponding to this portion)? There are, it may be taken), 30 ghatīs in a day. The rule for arriving at the time taken up by a prize-fight between gymnasts. 121. The day diminished by the sum of the portion of the day elapsed and of the portion (thereof) remaining to elapse, when brought into the form of time (measured by ghatīs), gives rise to the (required duration of) time. The measure of the shadow of a pillar divided by the measure of (the height of) the pillar gives rise to the measure of the shadow of a man (in torms of his own height). For Private and Personal Use Only

Loading...

Page Navigation
1 ... 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523