History of Dharmashastra (Ancient and Mediaeval Religious and Civil Law in India) v7.c92.301

v7.c92.301

¹⁸⁵² चतुरश्रं मण्डलं चिकीर्षन् मध्यात् कोट्यां निपातयेत् । पार्श्वतः परिरिछप्यातिशय-तृतीयन सह मण्डलं परिलिखेत् । सा नित्या मण्डलम् । यावद्धीयते तावदागन्तुः; मण्डलं चतुरश्रं चिकीर्षन् विष्कम्भं पञ्चदशभागान् कृत्वा द्वावुद्धरेत् । त्रयोदशावशिष्यन्ते सा नित्या चतुरश्रम् । आपस्तम्बशूल्वसूत्र III. 2-3 (Z. D. M. G. vol. LV. p 579); compare a similar provision in the Śulbasūtra of Kātyāyana q. by राघबभट्ट on शारदातिलक III. 57. Vide 'The science of the Śulba' (a study in early Hindu Geometry) by Bibhutibhushan Datta (Calcutta, 1932) pp. 140 ff. The three fire-mounds required in vedic sacrifices are Gārhapatya, Āhavanīya and Dakṣiṇāgni and they have to be respectively circular, square and semi-circular in form and a further requirement is that all the three have to be equal in area. Therefore, the Āp. Śulbasūtra provides a method for securing this when it says that a person desiring to make a circle (equal in area) to a square etc.