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The Shulbasutras of Baudhayana, Apastamba, Katyayana and Manava: With Text, English Translation and Commentary c8.t8.9

The Śulbasūtras of Baudhāyana, Āpastamba, Kātyāyana and Mānava: With Text, English Translation and Commentary c8.t8.9

Language
English

c8.t8.9

B₄ — four-sided quarter brick (*caturaśra-pādyā*), of which *CD* equals 1⅚ *aṅgulas*, *BC* 15 *aṅgulas*, *AB* 22½ *aṅgulas*, *AD* 15 √ 2 *aṅgulas*. 1 *pada* being 15 *aṅgulas*, the measures are given here in *aṅgulas*. *padasaviśeṣa* means the diagonal of a square of side 1 *pada* or 15 *aṅgulas* or the hypoteneuse of a right-isosceles triangle of side 15 *aṅgulas*. Clearly, such a figure is obtained by joining the rectangle *EBCD* with the isosceles right triangle *AED* along the common side *ED*. Its area is (15 × 15)/2 + (15 × 15)/2 sq. *aṅgulas* = 15 × 15 sq. *aṅgulas*, the same as that of the quarter brick B₃.