Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 397

CHAPTBR VI
BABURKYBNT OF ARRA8.
196
inoluded between ciroles (in contact), one-fourth (of the result thus arrived at gives the required measure).
Examples in illustration thereof. 40. In the case of a six-sided figure the measure of a sido is 6, and in the case of another figure of 16 sides the measure of a side i, 3. Give put (the measure of the area in each care).
41. In the case of a trilateral figure one of the sides is 5, the opposite (ie., the otbor) side is 7, and the base is 6. In the case of another bexalateral figure the sides are in measure from 1 to 8 in order. (Find out the value of the aroa in each case).
12. (Give out) the value of the interspaco inoluded inside foar (equal) circles (in contact) having a diameter which is 9 in measure ; and (givo out) the value of the area of the interspace inolnded inside three circles having diameters measuring 6, 6 And 4 (respeotively).
The rule for arriving at the practically npproximate aroa of & field resembling a bow in outlino :
43. In the case of a bow-shaped field the calculatod measure (of the area) is obtained by adding together (the measure of the arrow and (that of the string and multiplying the sum by balf (the measure) of the arrow. The squaro root of the square of the (measure of the) arrow as multiplied by 5 and (then) as onmbined with the square of the (measure of tho) string gives the measure of the bent) stick" (of the bow).
43. The field resembling a bow in outlinu in in fact the segment of u oirolo, the bow forming the aro, the bow-string forming the chord, and the arrow mensuring the groatest porpondicolor distunov Lotween the aro and tho obord. It a, c, and represnnt the lengths of these throu liues, then, according to the rules given in stanga 43 and 45 -
Area = c + p) - Length of bow =15' + c
of arrow = 8
of bow-string van Bp* For mourate value sa stangas 781 and 741 in this chapter.