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 423

OHAPTER VII-MBASUREMENT OF AREAS.
221
of the said optionally chosen figure happons to be arrived at); or the base of such an optionally chosen figure of the requisito type), on being multiplied by the factor with which the area of the said figure) has to be multiplied (to give the required kind of result); gives rise to the measures of the basos of the (required) equilateral quadrilateral and other kinds of dorivod figures.
. . Examples in illustration thereof. 1134. In the case of an equilateral quadrilateral figure, the (numerical measure of the) perimeter is equal to that of) the aroa. What then is the numerical measure of its) base? In the case of another similar figure), the numerical measure of tho) area is equal to (thut of) the base. Toll me in relation to that (figure) algo (the numerical measure of the base).
1141. In the case of an equilateral quadrilateral figure, the (numerical) measure of the diagonal is equal to that of) the area. What may be the measure of (ite) base ? And in the case of another similar) figure, the (numerical) measure of the perimeter is twice that of the area. Tell me what may be tho measure of its base).
1157. Here in the case of a longish quadrilateral figure, the (numerical) measuro of the area is equal to that of the perimeter; and in the case of another (similar)i figure, the (numerical) measure of the area is equal to that of the diagonal. What is the measure of the base (in each of these cases) P
1167. In the case of a certain equilateral quadrilateral figure, the (numerical) measure of the base is three times that of the area. (In the case of) another equilateral quadrilateral figure, the (numerical) measiure of the diagonal is four times that of the area. What is the measure of the base in each of those cases)
tho measure of the perimeter, viz. 20, has to be multiplied in order to make it equal to the monstro of the area, vis., 25, ist. If 6, the monstro of side of the optionally choron quadrilateral is divided by this factor 4, the mosnre of the wide of the required quadrilateral is arrived at.
The rule gives also in another manner what is practically the same procon thus: • The factor with which the measure of the area, vis. 26 bus to be maltplied in
order to make it equal to the measure of the perimeter, vis. 20, in f. 116, the moncare of side of the optionally chosen figure is multiplied by thin factor 1, the montre of the side of the required figuro is arrived at.