________________
But the modern mathematics give honour to the Italian Mathematician Pietro Antonio Cataldi (1548 - 1616 A.D.) for the development of continued fractions. But the availability of continued fraction in Dhavata tikā 20 rejects the above statement
Some Geometric Formulas are also available in Dhavala of Virasena.'
27
Rate of Increase
It is used for calculating the length of a horizontal section of a trapezoid. This also occurs in the Jaina cosmography as a vertical section of the lower and the upper worlds.
Suppose the rate of increase is in and let the top, the base and the height of a trapezoid be 'a', 'b' and 'h' respectively, then the rate will be
b-a r=
28 if this rate of increase be multiplied by an optional number 'x' and increased by the top, it becomes the fruit 'y',
y = X + a
This is an 'adapted formula'.
Volume of a Trapezoidal Prism
It is given by an 'adapted formula'.
a + b
b
+ m
V=
X 74 +
x 74 cubic rajju.
72
2
2
Arhat Vacana, 14(2-3), 2002
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