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The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t2.39

The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t2.39

Language
English

c8.t2.39

This is a general and perfectly satisfactory method. Both Thibaut and Bürk did not consider this method as that of Baudhāyana on the ground that Baudhāyana himself mentioned this method as *anyaśca prakāraḥ*, meaning 'another method'. Baudhāyana's method was to cut off from a given square a rectangle of side smaller than that of the square while Dvārakānātha's method started from the construction of a rectangle of side greater than that of the square. From our discussion it is clear that in the methods suggested by both Baudhāyana and Dvārakānātha, the final result of constructing a rectangle equivalent to a square is the same but their methods of attaining it are different. For this difference, Sundararāja gave the same line of argument as that of Dvārakānātha in transforming a square into a rectangle with the remark, *ayamatra prakāraḥ*a meaning, 'this is the method taught here'. To keep a symmetry with the original *sūtra* of Baudhāyana, Dattab put the method of Dvārakānātha in the following form.