The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t30.2

c8.t30.2

**4.1-4.2.** *Construction of droṇacit.* Kātyāyana discusses here the methods of drawing different squares required for the construction of *droṇacit*. First a square of area 7½ sq. *pu.* is constructed and divided into 100 small squares by drawing ten parallel lines horizontally and ten vertically. Then small squares from one side are separated out and changed into a small square by the method of combination of squares (*samāsa-vidhi*), discussed in *Kśl.* 2.8 and 2.9. The remaining 90 small squares are likewise transformed into a single square. The former square is joined to the latter like a stalk. In the case of a circular *droṇacit*, the two squares mentioned above are to be transformed into two circles and joined together (Mahīdhara). Kātyāyana's rule is basically different from that of Baudhāyana (*Bśl.* 17.1.-18) and Āpastamba (*Āśl.* 13.4-5) and appears mathematically more sound.