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# The Science of the Shulba: A Study in Early Hindu Geometry c24.1

The Science of the Śulba: A Study in Early Hindu Geometry c24.1

- **Language:** English

### [c24.1](https://indike.org/pramana/ins.science.datta-1932.c24.1)

\*Abhyantara-viśeṣa\*, 197n. \*Agni\*, 27, 30 \*et seq.\*, 39-40, 60n-61n, 120, 152; Enlargement of, 158 \*et seq.\* (See \*Kāmya Agni\*, and \*Ekaśata-vidha Agni\*). \*Agni-cayana\*, 28, 29. \*Agni-cit\*, 28, 28n. \*Āgnīdhrīya\*, 34, 42. \*Āhavanīya\*, 21, 27, 203 \*et seq.\*; Altar of, 21, 31. \*Alaja\*, 23. Algebra, Early history, 165; Geometrical, 165 \*et seq.\*; Problems of, in ancient India, 2. Al-Khowārizmī, 111n. Allman, 111. Altar, 2, 20 \*et seq.\*; Science of construction, 164; date of the science, 29; geometry traced in, 30. (See Falcon-shaped Altar, Fire Altar, and Vedic Altar). \*Aṁsa\*, 212. Āpastamba, Authority mentioned, 26-27; Bürk’s edition, 20; Commentaries of, 10, 13, 19; \*Śrauta-sūtra\* of, 1, 13, 25n, 29; \*Śulba-sūtra\* of 3-4, 13, 25; -\*Sūtra-paribhāṣā\*, 13. \*Āpastambīya Śulba-bhāṣya\*, 10. \*Āraṇyaka\*, 25. \*Ardha-daśama\*, 213. \*Ardha-navama\*, 213. \*Ardhyā\*, 44. Area, combination, 71 \*et seq.\*; To draw a square equal to, \*n\* times a given square, 71-74; \*n\*th part of a given square, 74-76; sum and difference of two given squares, 76-80; two given pentagons. 80-82; two given triangles, 80; Definition of, 95; Problems of, in ancient India, 2; Transformation of, 83 \*et seq.\*; square, from isosceles triangle, 92-93, from rectangle, 83-85, from rhombus, 94, into rectangle, 85-90, square and rectangle, into isosceles trapezium, 90-92, into rhombus, 93-94, into triangle, 92. (See also Measures.) Āryabhaṭa I, 16, 18. \*Āryabhaṭīya\*, 16. \*Aṣṭadaśa-karaṇī\*, 188. \*Aṣṭa-vidha\*, 170. \*Aśvamedha-vedi\*, 34, 152 \*et seq.\*, 162 \*et seq.\* \*Aśvamedhika Agni\*, 172-73. \*Aśvamedhikī-vedi\*, 107, 188. \*Atharva-veda\*, schools of, 1n.

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Source: [https://indike.org/pramana/ins.science.datta-1932.c24.1](https://indike.org/pramana/ins.science.datta-1932.c24.1) · Pramāṇa
