A Concise History of Science in India c4.4

c4.4

| 3.1. | Sketch of an Indus scale . . . . . . | 137 |
| 3.2. | Baudhāyana’s construction of a square . . . . | 145 |
| 3.3. | Transformation of a square into a rectangle . . . | 147 |
| 3.4. | Transformation of a square into a rectangle, according to Baudhāyana . . . . . . . | 147 |
| 3.5. | Construction of a square equal to the sum of two different squares . . . . . . | 147 |
| 3.6, 3.7. | Pythagorean Theorem . . . . . . | 148 |
| 3.8. | Squaring the circle . . . . . . | 150 |
| 3.9. | (a) *Mahāvedi* . . . . . . | 151 |
| 3.9. | (b) *Śyena-cit* . . . . . . | 151 |
| 3.10. | Geometrical representation of indeterminate equations, according to Kātyāyana's *Śulba* . . . . | 152 |
| 3.11. | Geometrical method of finding the value of √2, according to *Śulba-sūtras* . . . . . . | 155 |
| 3.12. | Pascal's triangle, *meru-prastāra* . . . . . | 157 |
| 3.13. | *Gelosia* method . . . . . . | 180 |
| 3.14. | Construction of the isosceles trapezium . . . | 186 |
| 3.15. | Gaṇeśa's geometrical proof for the area of a circle . | 188 |
| 3.16. | Relation between diameter and segments of a chord . | 189 |
| 3.17. | *Jyā*, *koṭi-jyā* and *utkrama-jyā* . . . . | 198 |
| 3.18. | Hindu rules for spherical trigonometry . . . | 202 |