________________
3
3
3 |
27
|
1
V = adh =
ussedhe joyana,
where n is a countable number. For an elaborate system of countable-uncountable-infinite numbers developed by the Jaina people, see Aņuogaddārāim 497-519 and Dhavalā on CK 1.2.2 (vol. 3, pp. 11-26).
A conch-shell (samkha): Approximation by an irregular cone.
-- bārahajoyaņāyāmacadujoyaņamuhasamkhakhettaphalam --
vyāsam tāvatkrtvā vadanadalonam mukhārdhavargayutam dviguņaṁ caturvibhaktaṁ sanābhike 'smin gaạitam āhuḥ || (Stanza 13 cited)
edena sutteņa āņiya muhahiņussehasahidussehacadubbhāgeṇa guņiya ussehaghaņajoyaņāņi āņiya puvvuttagunagāreņa guņide pumāņaghaņaṁgulāņi hosti ||
When one has obtained the fruit (i.e., the area, A) of the field of a conch-shell, whose length (a) is twelve joyaņas, and the value of whose mouth (m) is four joyaņas, by means of this versified rule (sutta):
The diameter (dl), multiplied by itself, decreased by half the mouth, increased by the square of half the mouth, multiplied by two, and divided by four, is, they say, the calculated value of this (figure) having a center;
multiplied (the result) by a fourth of the height (h) decreased by the mouth and increased by the height,
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