Ganittilakam Savrtuttikam

Author(s): Hiralal R Kapadia
Publisher: Oriental Research Institute Vadodra

Page 44

INTRODUCTION
XLIII
(1) C (gross) = 32 (2) C (subtle or neat) = V10d? (3) A = Cal 4) 9= is where r is the radius of a circle equiva.
lent to a square of side s; thus r= ( 19 ) 5) co= 4h (d-h) (6) a = 6h+c (7) decembrie (8) A (gross) = V10. c. 1 (9) A (neat) = 1 (0+h) )
c2 + (27)
4h (11) h = Va_ (12) h = 1 (c-Vd2-(*) (13) d= (-h) (14) ) = V8+}a-d (15) ao = 4h (+)
(16) c = a -6h Out of these formulæ, the ist three are given in gāthao 311, the 4th in 18, the 5th and the 6th in 760, the 7th in 761, the 8th and the oth in 762, the roth and the 11th in 763, the 12th in 764, the 13th and the 14th in 765, and the 15th and the 16th in 766.
In Trilokasāra (gāthā 309) we find the discussion about the breadth of an annulus (valayavyāsa) and the diameter of its edge (sūcīvyāsa).
Gommațasāra supplies us with formulæ about volumes of a prism etc. For instance, from gāthā 17 we learn that the volume of a prism = base x height. The gāthā 19 furnishes us with two formulæ as under:
(i) Volume of a cone or a pyramid = } base x height. (ii) Volume of a sphere = $ (radius )3 Gāthās 22 and 23 lead us to the following conclusions:
Volume of a conical shape=(Circumference )* x height. This is on the supposition that the height equals (approximately) i circumference. The găthā 114 deals with an isosceles trapezium.