The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t31.27

c8.t31.27

**2.4.** *Pāśuki vedi.* The method is incomplete and may be reconstructed as follows. The *pāśuki vedi* is an isosceles trapezium having face 3 *aratnis*, base 4 *aratnis*, and altitude 6 *aratnis*. A cord AC (9 *aratnis* long) is used for its construction. Marks are given on it at *B*, *N*, *S*, *M* for obtaining *prācī*, *nirañchana*, *śroṇī* and *aṃsa* points, such that AB equals 6 *aratnis*, AN 6½ *aratnis*, BN, NS, SM each ½ aratni and CN 2½ *aratnis*. This satisfies the relation AB² + CN² = AN² or, AC² + CN² = AN², when the ends A and C are fixed on the east-west line, i.e. 6² + (2½)² = (6½)² holds. This is used for the construction of the isosceles trapezium DEFG (Fig. 1), the form of the *pāśuki vedi*.