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The Jambudvipa Laghusangrahani And The Modern Science
The modern geometry also uses the following formula to find the area of a circle :
Area of a circle = π (radius) 2. Here also π = √10.
Almost everywhere in svētāmbara tradition = √10. But various values of it are found in Digambar tradition. In the Trilōkasära 10 70 = 162/92 i. e. 256 / 81
Here TC =
3.1604938271..... The Trilökasāra also shows 3 and
·
√10 to be the value of but they are very gross.' Moreover, Acārya Virasēna shows quite a different value of TC. Showing the method of finding the circumference of a circle, he says,: Multiply the diameter by three and then add to it what you get by dividing by 113 the diameter multiplied by 16. You will then get the circumference of the circle. It can be shown in a formula as under:
Circumference = 3 (diameter) + 16 (diameter) /113
By simplification, we get circumference =355/113 diameter
Comparing this formula with the well-known formula of today i. e. circumference 2π radius, we get 12 = 355/113. Here = 3.1415929
This value of T was well-known in China also. Possibly, they took the value of π from Indian tradition. Perhaps, Buddhist monks who went to China from India made it popular. 13
In short, four different values of π
tion.
π
π
3..
√10 = 3.1622776..
= 256 / 81 = 3.1604938271....III
= 355 / 113 = 3.1415929.........IV
The first of these values is very gross and it is not accepted now-a-days. This value is shown in the book the Trilōkasāra. The second value is also found in the Trilōkasära. It is accepted everywhere in svētāmbara tradition also. The third value is also shown in the Trilokasära. But the fourth value is shown by Śri Virasēnācārya.
元
π
=
13
135
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