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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
222
GANITASĀRASANGRAHA.
aso.
1174. 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.
118. In the case of a longish quadrilateral figure, the (numerical) measure of the perimeter is 1. Tell me quickly, after calculating, what the measure of its perpendicular side is, and what that of the base..
119]. In the case of a longish quadrilateral figure, the (numerical measures of twice the diagonal, three times the base, and four times the perpendicular, on being added to the (numerical) measure 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 bējas in relation to the derived longish quadrilateral figure :
1203. The operation to arrive at the generating (bējas) in relation to a longish quadrilateral figure consists in getting at the square roots of the two quantities 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. 1213. 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 bājas here?
120$. The rule in stan za 95} of this chapter relates to the method of arriv. ing at the bijas from the base or the perpendicular cr the diagonal of a longish amadrilateral. But the rule in this stanza gives a method for finding out the bijas from the perpendicular and the diagonal of a longish quadrilateral. The process described is based on the following identities : V az + 62-(a? – b2) = b; and N othe_a? + -- (a?-67)
2 where a+ is the measure of the diagonal, and al-ba is the measnre of the perpendioular-side of a lopgish quadrilateral, a and b being the required bējas.
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