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# The Science of the Shulba: A Study in Early Hindu Geometry c24.53

The Science of the Śulba: A Study in Early Hindu Geometry c24.53

- **Language:** English

### [c24.53](https://indike.org/pramana/ins.science.datta-1932.c24.53)

\*Taittirīya Brāhmaṇa\*, 25. \*Taittirīya Saṁhitā\*, 25-26, 28-31. Terminology, 212-13. Terms, Technical, 221-26. Theorem, Geometrical, 21-22, 24; Pythagorean, 24, 104 \*et seq.\* Thibaut, 86 \*et seq.\*, 108 \*et seq.\* \*Tiryaṅmānī\*, 221. Transformation, Geometrical, 23. Trapezium, Area of, to find the, 22; Isosceles, to construct an, face, base and altitude given, 22, 31-32, 63-67; similar and equal to a third of another, 153; similar and double its area, 154; similar and n times its area, 154; similar and equal to multiple or sub-multiple of another, 22; similar to a given one and having a given altitude, 163; Isosceles, having an area of 324 sq. padas, 99-101; Measurement of, 95-96; Isosceles, to transform a square or rectangle into an, 90-92. (See also Construction, Rectangle and Square.) \*Trayodaśa\*, 212. Triangle, area of a, is half the square on the same base and equal altitude, 47; To construct a, equal to a square, 92; Division of a, into equal and similar parts, 46; Isosceles, to bisect an, 46-47; Measurement of, 95, 96. (See also Postulates, Rectangle, Right-angled Triangle, Scalene triangle and Square.) \*Tri-aṣṭama\*, 213. \*Triguṇa\*, 212. \*Trī-karaṇī\*, 109, 188. \*Triśatikā\*, Age of, 11. \*Tṛtīya-karaṇī\*, 109, 188.

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Source: [https://indike.org/pramana/ins.science.datta-1932.c24.53](https://indike.org/pramana/ins.science.datta-1932.c24.53) · Pramāṇa
