The Enigma Of The Universe : According to the Śvetāmbara Tradition

Published: 21.03.2015
Updated: 02.07.2015

There is a cylindrical pit measuring one yojana each in length, breadth and height based on utsedha aṅgula. It is made cram-full with the billions of hair-tips of humans of Devakuru-Uttarakuru region. Before calculating the number of hair-tips, filled in pit, we have to calculate the volume of the cylinder. The base of the cylinder is circular. Area of circular base = πr2 (where r is radius).

Volume of the cylindrical pit = = πr2h (where h is height).

In this equation, the value[1] of π, taken into account, is - 19/6.

According to the table of space-units

1 yojana = 7,68,000 utsedha-aṅgulas.

There are 87 hair-tips of humans of Devakuru-Uttarakuru region in one utsedha-aṅgula space. Therefore,

1 yojana = 87 x 7,68,000 hair-tips of Devakuru-Uttarakuru humans.[2]

[Since the diameter (further denoted as d) is one yojana.]

d = 87 x 7,68,000

∴ r = d/2 = (87 x 7,68,000)/2

[h is equivalent to d over here. So]

h = 87 x 7,68,000

∴ Volume of the cylindrical pit = πr2h

= 19/6 x (87 x 7,68,000)3 /4

= 330,762,104,246,562,542,199,609,753,600,000,000,0

= 3.3 x 1036 approximately.[3]

So, the number of hair-tips of Devakuru-Uttarakuru humans filled in the cylindrical pit is 3.3 x 1036.

The hair-tips are taken out of it in four ways.[4] On the basis of these different ways, Palyopamas are of four types

Footnotes
1:

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2:

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3:

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4:

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Sources

Title: The Enigma Of The Universe

Publisher: JVB University Ladnun

English Edition: 2010

HN4U Online Edition: 2014

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Some texts contain  footnotes  and  glossary  entries. To distinguish between them, the links have different colors.
  1. Aṅgula
  2. Space
  3. Sūtra
  4. Yoga
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