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The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t1.35

The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t1.35

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English

c8.t1.35

to obtain the value of *tṛtīyākaraṇī* by both Āpastamba (*Āśl.* 2.2 and 2.3) and Kātyāyana (*Kśl.* 2.10 and 2.11). The commentators Kapardisvāmī, Sundararāja and Rāma have expressed in identical terms the value as well as meaning of this term. According to them, a square on the producer *AB* (=√3a) when divided into nine equal parts by means of three parallel lines drawing from both sides, produces the square, *EBGF* which is one-ninth of the square *ABCD* (Fig. 6). Then EB²=1/9 AB² or EB =⅓ AB =⅓ √3 a. =1/(√3) a.

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