The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t15.4

c8.t15.4

The next step is to convert the above-mentioned square into a circle by the method given in *sūtra Bśl.* 2.9. and already applied in the case of the fire-altar in the form of the chariot wheel. Let ABCD be the square of side equal to 327 *aṅg.* 9 *tila*. (Fig. 66 ). EFGH is the *ṣoḍaśī* brick placed at the middle of the eastern side AD of the square. With O as centre and OM as radius a circle equal in area of the square ABCD is drawn, cutting EFGH by the curved line (*dhanurvakrā*) IJ. The part of the *ṣoḍaśī* brick *IFGJ* cut by the circle is transferred to the top of the remaining portion, as *KEHL*. Now, *KIJL*, whose area remains the same as that of a *ṣoḍaśī* brick, represents the handle of the circular trough (also called *oṣṭha*).