The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t1.53
The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t1.53
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c8.t1.53
(vi) Both Āpastamba (*Āśl*. 3.7) and Kātyāyana (*Kśl*. 3.7) gave an ingenious method for calculating the area of a square or rectangle, thereby establishing the theorem of square on the diagonal. According to this method, if there are *p* units in *AB* and *q* units in *BC*, then the rectangle *ABCD* has *pq* square units, which can be obtained by drawing *p* number of parallel lines through *p* units of *AB* and *q* number of parallel lines through *q* points of *BC* (Fig. 9). This proves directly that AC² = AB² + BC².