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

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Page 424
________________ 222 GANITABARASANGRAHA. RO. 117). In the case of a longish quadrilateral figure, (the numerical measures of) twice the diagonal, three times the base and four times the perpendicular-side heing taken, the measure of the perimeter is added to them. Twice (this sum) is the (numerical) measure of the area. (Find out the measure of the base.) 1187. In the case of a longish quadrilateral figure, the (numerical) measure of the perimeter is 1. Tell me quiokly, after calculating, what the measure of its perpendicular side is, and what that of the base. 1194. In the case of a longish quadrilateral figure, the (numerical measures of twice the diagonal, three times the baso, and four times the perpendioular, on being added to tho (numerical) moasure of the perimeter, become equal to 1. (Find out the measure of the base.) Another rule regarding the process of arriving at the number representing the bējax in relation to the derived longish quadrilateral figure : 1207. The operation to arrive at the generating (bijas) in relation to a longish quadrilateral figure consists in getting at the square roots of the two qnantities represented by (1) half of the diagonal as diminished by the perpendicular-side and (2) the difference between this quantity and the diagonal. An example in illustration thereof. 121*. In the case of a longish quadrilateral figure, the perpendicular-side is 55, the base is 48, and then the diagonal is 73. What are the bijas here ! 1204. The role in starea 951 of this chapter relates to the method of arriv. ing at the bljar from the base or the perpendicular or the diagonal of a longish quadrilateral. But the role in this stansa gives a method for finding out the bijgs from tho perpendionlar and the diagonal of longish quadrilateral. The procons denoribed is based on the following identities :Ja + b-(03-08) = 0; and Notty_a+b-a? 2 whers o p in the measure of the diagonal, and al-is the momenre of the perpendioular-side of longiah quadrilateral, and d being the required bijas. Ng

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