Basic Mathematics

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

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however based on the value of n as v 17 , which is not available in Babylon. 128 Virasen has made use of the method of application of areas prevalent in Babylon and Greece, for analysing the measures of transfinite sets.129
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In the Tiloyapaņņatti (or any other text of the Karaṇānuyoga group) Babylonion & Greek sexagesimal measure appears as basic to a complete revolution in 60 muhūrtas for projected paths of real and counter bodies. “Sixty” is a factor of the 109800 celestial parts. 130
To Thales was ascribed the saying, “Know thyself” 131 He predicted the solar eclipse of -585 and that he could draw upon the experience of Oriental astronomers. 132
Thales also tried to prove (1) A diameter divides a circle into two equal parts. (2) The base angles of an isoscles triangle are equal. (3) Equal angles are obtained from two intersecting straight lines,133 Needless to say, that this geometry was basic to Jaina cosmography. Pythagoras is said to have discovered the theory of irrationals134 which were used in set-theoretic approach of the measures of bio-cosmos of the Jainas. The Phythagoreans135 regarded the planets as living gods and based the lunar calculations on 59.
It is important to note that China and India made use of the shifting of lunar mansions in a period of about 1000 years, (about-1400 and 350), which agree with those in the Vedānga Jyotisa and the Tiloyapangattı. 136 They had also recognised the change of seasons with the precession of equinoxes as the Greeks.
128. Cf. Coolidge, op. cit., pp. 6, 7. 129. Cf. Şackhandāgama, book-3, pp. 42-43. 130. Cf. Jain, L. C., The Kinematic Motion of astral real and counter
bodies in Trilokasāra, I.J.H.S., vol. 11, no. 1, 1976, 58-74. 131. Cf. Waerden, p. 85. 132. Such a theory of astronomy was perfected in Jaina School, round
about the same period. Cf. Waerden, p, 86., op. cit. 133. Cf. ibid., p. 89. 134. Cf. ibid., p. 90. 135. Cf. Olmsteed, A.T., History of Persian Empire, Chicago, 1948, p. 209,
Cf, also Bibliography (A) of source material. 136. Cf. Shastri, research bibliography.
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