The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.26
The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t2.26
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c8.t2.26
The square ABCD is divided by its diagonal AC (Fig. 16). The portion ADC is again divided into two equal halves by GD and each is transferred to occupy the position AEB and BFC. Then AEFC is the required rectangle. For, $sq. ABCD = tr. ABC + tr. AGD + tr. GCD$ $= tr. ABC + tr. AEB + tr. BFC$ $= rect. AEFC.$