Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

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244
GANITASĀRASANGRAHA.
(then) divided by their sum. The (resulting) quotients, on being multiplied by the measure of the base (as a whole) give rise to the (respective basal) segments. These (measures of the segments respectively) multiplied in the inverse order by the quotients (obtained in the first instance as above), give rise (in each case) to the value of the inner perpendicular.
Examples in illustration thereof. 1811. (The given) pillars are 16 hastas in height. The base (covering the length between the points where the strings touch the ground) is pointed out to be 16 hastas. Give out, in this case, the numerical value of the segments of the base and also of the inner perpendicular.
1821. The height of one pillar is 36 hastas ; that of the second is 20 hastas. The length of the base-line is 12 hastas. What is the measure of the (basal) segments and what of the (inner) perpendicular?
1834-1841. (The two pillars are) 12 and 15 hastas (respectively); the measure of the interval between the two pillars is 4 hastas. From the top of the pillar of 12 hastas a string is stretched so as to cover 4 hastas (along the basal line) beyond the foot of the other pillar. From the top of (this) other pillar (which is 15 hastas in height) a string is (similarly stretched so as to cover 1 hasta (along the basal line) beyond the foot (of the pillar of 12 hastas in height). What is the measure of the (basal) segments here, and what of the inner perpendicular?
1853. (In the case of a quadrilateral with two equal sides), each of the two sides is 13 hastas in measure. The base here is 14
0(c + n) (c+n+n), and p=0,
b
From these ration we get = a (c + m)
Cyb e + n) ; . . _
a c +m)__.. . - Ac+m) (C+ + ). **C,+ C a (c + m) + b(c+n)'
a (c+ m) + b (c+n)' Similarly cg
a(c+ m) + b(c+n) 1855. Here a quadrilateral with two equal si ies is given; in the next stanza a quadrilateral with three equal sides, and in the one next to it a quadrilateral with unequal sides are given. In all these cases the diagonale of the quadri. lateral have to be first fonnd out in accordance with the rule given in stanza
n. fi
c
+ m.