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The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.75

The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t2.75

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English

c8.t2.75

If we take π = 3 (*Bśl.* 4.15), area of the circle becomes 3.885 a², which falls far short of the area of the given square. Āpastamba made an additional remark on the method of circling a square as *sānityā maṇḍalaṁ yāvaddhīyate tāvadāgantu*, which makes also the interpretation equally difficult as to whether the method is exact or inexact one. The commentator Kapardisvāmī has broken up *sānityā* as *sā* and *anityā* concluding that the method is an inexact one. The passage has been interpreted by Karavindasvāmī as follows: ‘The circle is exactly as large as the square, for as much the circle falls short, so much comes in.’a Thibaut, Bürk and Datta have referred to the same difficulty as to the real sense in which these words were used by Āpastamba.b

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