The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.143
The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t2.143
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c8.t2.143
Squaring and neglecting e₁², we get (2(2a + r + 1))/(2a + 1)e_1 &= a² + r - ((2a + r + 1)/(2a + 1))² / &= (r(2a + 1 - r))/((2a + 1)²) / \therefore e_1 &= (r(2a + 1 - r))/(2(2a + 1)(2a + 1 + r)) / &= (r/(2a + 1)(1 - r/(2a + 1)))/(2(1 + r/(2a + 1)))