120 Journal of the Asiatic Society of Bengal. [March, 1908. 
5. Multiply the square of the root of the cubic quantity by three, 
and divide the second non-cubic part by the product. Multiply the 
vine the first non-cubic. Then the cube is to be subtracted from the 
cu 
Like the preceding rule this is perfectly general (¢.¢., algeb- 
— and applies to all arithmetical notations. Brahm agupta 
the rule as follows :—‘‘ The divisor for the second non-cubic 
= saties the square of the cube root, ep square of the quotient, 
mealtiptied by three and the preceding, must be subtracted from the 
next; and the cube from cubic; the r aE ” "(Colebrooke, p 980.) 
Neither Aryabhata nor Brahmagupta gives examples : while 
those given by Bhaskara are similar to those he gives for. sqnare 
roots. 

6. The area produced by a trilateral ast Ad fb of the per- 
pendicular that bisects the base and half the 
hale: of the preted of this by the es is the solid with 
sin 2 edges 
The first part gives t the area oF an isosceles triangle, not as 
Rodet states, of the general triangle. The second part gives in- 
accurate rule for finding the volume of a triangular pyramid. 
Rodet says; ‘‘J’ai longtemps hésité 4 C adinottr re la bonne conser- 
vation du texte en cet endroit; mais le vers est parfaitement ré- 
gulier, et on ne saurait, sans le rendre boiteux, ici sista le. tiers 
a la oe du prodnit. .. Il fant done accepter comme authen- 
tique én cé de notre auteur Ns “oh y voir une prenve, conservée 
fide fement & a ivenn les ages, de son ignorance en géométrie de 
n garant trés précieux de la servilité avec laquelle les copistes 
“ae ex oe intact le texte primitif d’Aryabhata.” (p. 20.) 
hm a does not give arule for the ar of a pyramid, 
and Subiiee a eave it rs as a sort of a8 (Li 1). 
Aryabhata again gives a wrong ial tie in the case of the 
yolume of a sphere, while. Brahmagupta and Bhaskara both give 
the same inaccurate formula for the volume of a cone. (Br. VII, 
50; oot 223.) 
ely pd necessary to state that the correct rules for these 
case e known to the Greeks, although it may be pointed out 
that Dan falls into error in finding the volume of a truncated 
pyramid. 
M. bin Musa gives the correct formula for the volume of a 
pyramid. He could not very well have copied it from the Hindus. 
a. ee Rite Satie multiplied by the radius gives 
the surface of the c 
(b) This last ‘multiplied by ay its own root is the exact volume of 
the sphere, 
