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

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.