The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t31.19

c8.t31.19

**1.4-1.6.** *Dārśikī vedi.* The *dārśikī vedi* is in the shape of an isosceles trapezium having face 48 *aṅg.*, base 64 *aṅg.*, and altitude 96 *aṅg.* (*Fśl.* 3.6-3.7, *Aśl.* 4.5-4.6). The given verse is not very clear in describing the method of construction required for the purpose. Here the *prācī* is of 4 *aratnis* (96 *aṅg*) and the cord of 6 *aratnis* (144 *aṅg*) out of which a right triangle of sides 40, 96 and 104 is formed. By using this right triangle, the isosceles trapezium required for the *dārśikī vedi* is constructed. How the sides of the isosceles trapezium are cut off has been described by Baudhāyana and Āpastamba.