________________
(3) A conch-shell (samkha): Approximation by an irregular cone
If 'A' be the area of the field of a conch-shell, length be 'a' (=12 yojanas), whose mouth be 'm' (=4 yojanas), diametere be 'd', 'h' be its height, then volume of the field will be
n-m
+h
V = AX
utsedha-yojana?
where
A = [0-*** x2 4
h-m The meaning of - height.
+h -
is not known, but it is perhaps a modified
Conch-shell like plane figure
is more accurate area of a conch-shell
But the result given by Mahavira like figure. He used 10 for A.
A-vto [C-m3)+ ()
(4) A fish (maccha): Approximation either by an elliptic cylinder or by
a rectangular solid
Let the length of the field of a fish be 'a', height be 'h' and width be 'b', where a = 1000 yojanas, h = 500 yojanas and b = 250 yojanas. Then the volume will be
V = n pramāna - angula where n is a countable number.
88
Arhat Vacana, 14 (2-3), 2002
Jain Education International
For Private & Personal Use Only
www.jainelibrary.org