Book Title: Ganitasara Sangraha of Mahavira
Author(s): Rangacharya
Publisher: Rangacharya

Previous | Next

Page 447
________________ CHAPTER VII--MEASUREMENT OF AREAS. 246 hastas, and the top-side is 4 hastas. What is the measure of the (basal) segments (caused by the inner perpendicular) and what of the inner perpendicular (itself)? 1861. In the case of the (quadrilateral) figure above-mentioned, the measures of the top-sido and the base are each to be taken to be less by 1 hasta. From the top of each of the two perpendiculars, & string is stretched so as to reach the foot of the other perpendioular). You givo out the measures of the innor perpendi. oular and of the basal segments caused thereby). 187}. (In the case of a quadrilateral with uncqual sides), one side is 13 hastas in measure ; the opposite side is 15 haxtas; the top-side is 7 hastas; and the base here is 21 hastax What aro the values of the inner perpendicular and of the basal segmenta (caused thereby)? 1887-1894. There is an equilateral quadrilateral figure, measuring 20 hastas at the side. From the four angles of that VII-54, and then the measuron of the perpendiculors from the end of the topside to the base as also the measures of the boxn onts of the long rauwed by those perpendiculars have to be arrived at by thu application of the rule given in stanga VII. 46. Thon taking these MCDMUCH of the perpendiculars to be those of the pillars, the rulo given in stanza 180 abrivo in applied to rrive at the measures of the inner perpendioular and the banul Beginnt rutined thereby. The problom given in stanza 187, in however worked in it lightly different way in the Kanarono commentary. The top-Hide is supposed to be parallel to the lane, and the measures of the perpendicular und of the bunul seguents caused thoroby are arrived at by construoting & trianglo who widos are the two willen of the quadrilateral, and whose baso is equal to the differendu between the base ond thu top-side of the quadrilateral. v 1881-1891. The figure contemplated in this problem seeds to bo this: The inner perpendiculars referred to herein are GA and KL. To find oat thene, FE in first determined. FE, AC cording to the commentary, is said to be equal to CN DY+DE+(ID)) Then with PE and BC or AD taken as pillars, the rule under referenco may be applied. HEL

Loading...

Page Navigation
1 ... 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531