Basic Mathematics

Author(s): L C Jain
Publisher: Rajasthan Prakrit Bharti Sansthan Jaipur

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campaign to measure every object, its qualities and events, in various coordinate frames, 103
Let us denote
Area of a circle as A, d its diameter, r its radius, s as arc of its segment whose height is h, c the chord and p the circumference.
The following relations are found in the bhāşya of the Tattvārthadhigama-sūtra 104
1. p = 10 d2 2. c= 4 h (d - h) 3. s= N6 h2 - c2 4. b = (d– d2 - c2) 5. d= (h2 + = h
4
6.
A
=
.p.d
7. The part of the circumference of the circle between two
parallel chords is half the difference between the corresponding arcs.
All the above relations are also available in Jambūdvipa samāsa 105 with the exception of (4). It, instead, is
h = n (s2 - c2)/6 In Ganita sārasamgraha,106 s (gross) = ✓ 5 h2+c2 s (fine) = 7 6 h2+c2
103. Sūtrakstānga sūtra mentions, that geometry is the lotus in mathematics,
......, and the rest is inferior. (Srutaskandha, ch, i, v. 154). 104. Ed. K. P. Mody, Calcutta, 1903. 105. Cf. ibid., appendix (C). 106. Cf. ed. Jain, L.C., Sholapur, 1963, ch. III, vv, 43, 731.
Cf. also Gupta, R. C., Jaina Formulas for the Arc of a Circular Segment, Jain Journal, 13(3), Jan. 1979, 83-94
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