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The Science of the Shulba: A Study in Early Hindu Geometry c24.52

The Science of the Śulba: A Study in Early Hindu Geometry c24.52

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English

c24.52

Euclidian proof, 50; Technical terms of, 221-26. (See *Śulba-sūtra.*) *Śulba-dīpikā*, 10. *Śulba-mīmāṁsā*, 10 *Śulba-Pradīpa*, 10. *Śulba Pradīpikā* 10. *Śulba-sūtra*, of Āpastamba, 3-4; of Baudhāyana, 2-3; Classification of, 6-7; Commentators of, *q.v.*; Definition of, 1-7; Number of, 1, 1n; π evaluated according to, 18; Problems of Geometry in, 2, 2n; Study of, 12; Time of, 6-7. *Śulba-sūtra-vivaraṇa*, 10. *Śulba-sūtra-vṛtti*, 10. *Śulba-vārttika*, 11. *Śulba-vyākhyā*, 10. Sundararāja, 10, 87 *et seq.*; Age of, 17-18. *Suparṇa-citi*, 34n. *Suparṇa Garutman* (or *Suparṇa*), 34. Surds, 185 *et seq.*; Evaluation of some, 205; Formula, approximate, 206-11; Hindu knowledge of, 185; Hindu knowledge of the irrationality of √2, 195-203; Rationalisation of simple, 185; *Śulba* name of, 188; Value of √2, 188-89; Hindu origin of, 189-94; Value of √3, 194-95. *Śyena*, 34. *Śyena-cit*, 22-23. (See Altar, falcon-shaped; *Caturasra-Śyena-cit*, *Vakrapakṣa-Śyena-cit*). Symmetry, Line of, 221.