Book Title: Acharya Shantisagar Janma Shatabdi Mahotsav Smruti Granth
Author(s): Jinwani Jirnoddharak Sanstha Faltan
Publisher: Jinwani Jirnoddharak Sanstha Faltan

Previous | Next

Page 519
________________ ३१४ आ. शांतिसागरजी जन्मशताब्दि स्मृतिग्रंथ (2) Area of ABC is Vs(s-a)(s-b)(s-c) where 2s = a + b + c. (3) The area and the diagonals of a quadrilateral ABCD are: V(s-a)(s-b)(s-c)(s-d) where 2s = a +b+c+d: V (ac + bd) (ab+ cd) (ac + bd) (ad + bc) ad + bc ab + cd. It is unfortunate that both Mahaviracharya and his predecessor Brahmagupta made the common mistake of pot mentioning the fact that these formulas hold for cyclic quadrilaterals only. (4) = 3 or v 10 (5) The circumference of an ellipse whose major and minor axes are of lengths 2a and 2b is ✓ 24 bo + 16 ao which redues to 2 h1 a VI-e' where e is the eccentricity. It is difficult to imagine, how Mahaviracharya could attain such a close apprximation without the help of the powerful tools available to us. [ By the Courtesy of Jain Sanskrati Sanrakshak Sangh, Sholapur.] Jain Education International For Private & Personal Use Only www.jainelibrary.org

Loading...

Page Navigation
1 ... 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566