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 440

238
GANITAPÄRASANGRAHA.
In the oase of the quadrilateral figure witb) three equal sides, the square root (of the difference between the two area-equares above noted) is added to the approximate measure of the area. (On treating the resulting sum as the optional quantity and) on adding and subtracting the said square root as before), the base and the top-side are obtained 80 88 to have to be divided by the square root of (such) optional quantity. (Here also), the approximate measure of the area, on being divided by the square root of (tbis) optional quantity, givos rise to the moasure of the other sidos.
An example in illustration thereof. 1661. The accurate moannre of the area is 5; the approximate measure of the area is 13; and the optionally chosen quantity is 16. What are the values of the base, the top-side, and the other) side in the case of a quadrilateral figure with two equal sides?
An eaample relating to a quadrilateral figure with three
equal sides. 167). The accurate measure of the aroa is 5; and the approximate monsure of the area is 13. Think out and tell me, O friend, the values of the sides of the quadrilateral figure with three equa) sides.
l'ho rule for arriving, when the approximate and the acourate ineasures of an area are known, at the equilateral triangle and also at the diameter of the circle, having those samo approximate and accurate moasures (for their area):--
1687. That which happens to be the square root of the square root of the difference between the squares of the (approximate meagure and of the acourate measure of the given) area is to be
R = 4(6.4 ), n= + 9) *; and r = 0 4 dx No - 10 mayo.
The formulas given above for the base and the top-side can be easily verified by substitating these values of Rr and p thereia. Similarly the rule may be been to hold good in the case also of a quadrilateral Agare with throe equal idem.
1881. For the approximate and accurate values of an oquilateral triangla ne pulos a stangas 7 and 60 of this chapter.