[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Indian Mathematics](https://indike.org/pramana/ins.science.kaye-1915) › c13 # Indian Mathematics c13: X. Index Indian Mathematics c13 - **Language:** English ### X. Index ### [c13.1](https://indike.org/pramana/ins.science.kaye-1915.c13.1) Abacus, 32, 69. Abbreviations, 24-25. Abū Bekr, 43. Abū Kamil, 40, 43, 58. Abū Said, 43. Abū'l-Wefa, 43. Alberuni, 35-36, 41-42, 43, 69. Alexandria, 9, 15, 22. \*Algoritmi de Numero Indorum\*—42. Āpastamba, 4, 68. Alphabetical notations, 30-31, 69. Angles, 20. Arab mathematicians, 41-43, 70. Arithmetical notations, 27-32. Āryabhaṭa, 11-14, 21, 31, 35-36, 40, 47, 68, 69. Astrology, 24, 26. Astronomy, 1, 9, 68. Athenean schools, 15. ### [c13.2](https://indike.org/pramana/ins.science.kaye-1915.c13.2) Bailly, 1. Bakhshali Ms., \*the\*—1, 24, 55, 56, 69. el-Battānī, 43. Baudhāyana, 4, 46, 68. Bhāskara, 12, 14-21, 24, 37, 49-50, 68. el-Bīrūnī \*see\* alberuni, Brahmagupta, 12, 14-23, 35-36, 38, 47-48, 68. Brāhmī numerals, 27, 29. Braunmühl, A. von, 70. Bühler, G., 3, 69. Bürk, A., 6, 68. Burgess, E., 68. ### [c13.3](https://indike.org/pramana/ins.science.kaye-1915.c13.3) Cantor, M., 17, 70. Casting out nines, 34. Chang-ch'iu-chien, 41. Chang T'sang, 38. Chasles, 34. Chaturveda, 53-55. \*Chin-chang Suan-shū\*—38. Chinese mathematics, 6, 38-41, 44, 70, Chosroes I, 15, 45. el-Chowārezmi \*see\* M. \*b.\* Mūsā, Circle, the, 7, 8, 11, 12, 32-33, 47-48, 61-62. „ squaring, 7-8. „ value of π 11, 12, 32-33, 47-48. Colebrooke, 1, 41, 68. Cossali, 41. Cube-root, 23, 38. Cyclic method, 16, 23. Cyclic quadrilaterals, 20, 22, 48, 50, 60. ### [c13.4](https://indike.org/pramana/ins.science.kaye-1915.c13.4) Damascius, 15, 42. Decimal notations (\*see\* Place-value notations). Delian problem, 7. Diophantus, 15, 16, 22, 25, 70. ### [c13.5](https://indike.org/pramana/ins.science.kaye-1915.c13.5) Egyptians, 6. \*Epanthem\*, the, 13, 47. Equations, 12, 15-18, 23-24, 26(\*a\*), 40, 58-66. Euclid, 7, 19. Eutocius, 42. Examples, 24, 26(\*a\*), 51\*f\*. ### [c13.6](https://indike.org/pramana/ins.science.kaye-1915.c13.6) Fleet, J. F., 69. Fractions, 5, 51. ### [c13.7](https://indike.org/pramana/ins.science.kaye-1915.c13.7) Geometry, 14, 20-22, 46, 58\*f\*. Gnomons, 5-6. Greek influence, 2, 9, 16, 17, 22, 45. ### [c13.8](https://indike.org/pramana/ins.science.kaye-1915.c13.8) Greek terms, 9, 26. Günther, S., 70. ### [c13.9](https://indike.org/pramana/ins.science.kaye-1915.c13.9) Hankel, H., 17, 34. Heath, Sir T. L., 17, 70. Hoernle, R., 69. Hypatia, 15, 16. ### [c13.10](https://indike.org/pramana/ins.science.kaye-1915.c13.10) Inaccuracies, 20-21, 40. Indeterminate equations, 12, 15-18, 40, 65-66. Inscriptions, 31, 37. Interpolation formula, 11. Interest, 47, 56. ### [c13.11](https://indike.org/pramana/ins.science.kaye-1915.c13.11) Jamblichus, 42. Jones, Sir W., 1. ### [c13.12](https://indike.org/pramana/ins.science.kaye-1915.c13.12) Kalpa Sūtras, 3. el-Karchī, 43. Karpinski, L. C., 69. Kātyāyana, 4, 5, 68. Kern, 11. Kharoshṭhī numerals, 27, 29. Laplace, 1. Letter numerals, 30-31. \*Līlāvatī\*, the, 24, 37, 49-50, 51-64. Macdonnell, 4. Maçoudi, 31. Mahāvīra, 14, 19, 21, 23, 39; 40, 48-49, 52-63, 68. Mikami, Yoshio, 38, 41, 70. Muḥammad \*b.\* Mūsā, 41-42, 70. Muḥammad \*b.\* Aḥmed, Abu ’l-Rīḥau el-Bīrūnī, 35-36, 41-42, 43, 69. Müller, Max, 4. Mūsā (see M. \*b.\* Mūsā), ### [c13.13](https://indike.org/pramana/ins.science.kaye-1915.c13.13) Nau, F., 31. Nicomachus, 42. ‘\*Nine Sections’ Arithmetic\*, the, 38-39. Notations, 2, 27-32, 69. Numerical words, 31. ### [c13.14](https://indike.org/pramana/ins.science.kaye-1915.c13.14) ‘Omar \*b.\* Ibrāhīm el-Chaijāmī, 43. ### [c13.15](https://indike.org/pramana/ins.science.kaye-1915.c13.15) Padmanābha, 14, 37. ### [c13.16](https://indike.org/pramana/ins.science.kaye-1915.c13.16) \*Pañcha Siddhāntikā\*, the, 9-11, 68. Pappus, 22. Parallels, 20. \*Paulisa Siddhānta\*, the, 2, 10. Pellian equation, 16, 17, 65. Place-value notations, 2, 29, 31-32. Plato, 15, 19. Problems, 52\*f\*. Progressions, 23, 48, 49, 56. Ptolemy, 10, 11, 33. Pulisa, 35. Pyramid, volume of, 21. Pythagorean theorem, 4-6, 38. ### [c13.17](https://indike.org/pramana/ins.science.kaye-1915.c13.17) Qosṭa \*b.\* Luqā, 42-43. Quadratic equations, 16-18, 24, 63-66. Quadrilaterals, 20-22, 60-61. ### [c13.18](https://indike.org/pramana/ins.science.kaye-1915.c13.18) Ramanugāchāria, M., 69. Rangāchāria, M., 68. Rational triangles, 4, 18-19, 50, 60. \*Regula duorum falsorum\*, 34. Right-angled triangles, 4-5, 18-20, 60. Rodet, L., 41, 68, 70. Romaka Siddhānta, 2, 9. Rosen, 70. Rule of three, 23, 26(\*a\*), 50, 53. Rule of two errors, 34. ### [c13.19](https://indike.org/pramana/ins.science.kaye-1915.c13.19) ‘\*Sea Island’ Arithmetic\*, the, 39-40. \*Siddhānta Siromani\*, the, 37, 68. Simplicius, 15. Sine function, 9. Sines, table of—, 10, 11. Smith, D. E., 69. Smith, Vincent, 45. Sphere, volume of—, 13, 39, 61, 62. Square-root, 5, 63. Squares, construction of—, 6 7, 46. Squaring the circle, 7-8, 47. Srīdhara, 14, 21, 24, 37, 49, 51, 52, 60-62, 69. Srīshena, 35. Sulvasūtras, the, 1, 3-8, 46-47, 68. \*Sun-Tsŭ Suan-ching\*, the, 39. \*Sūrya Siddhānta\*, the, 1, 9, 68. Symbols, 24. ### [c13.20](https://indike.org/pramana/ins.science.kaye-1915.c13.20) 'Tābit \*b\*. Qorra, 42. Table of sines, 10. Tái-yen process, 40. Tannery, T., 5, 17, 70. Terminology, 24-26. Thibaut, G., 1, 7, 9, 68, 69. Triangle, area of—, 20, 21, 47. Triangles, right-angled, 4, 18-19, 50, 60. Trigonometry, 9-10. Trisatikā, 24, 27, 69. ### [c13.21](https://indike.org/pramana/ins.science.kaye-1915.c13.21) Varāha Mihira, 2, 9, 35, 36, 68. \*Vija Ganita\*, the, 24, 37, 50, 51-66. Vishnuchandra, 35, 36. ### [c13.22](https://indike.org/pramana/ins.science.kaye-1915.c13.22) Volumes, 13, 21, 61, 62. ### [c13.23](https://indike.org/pramana/ins.science.kaye-1915.c13.23) Whitney, 1, 68. Weber, 1. Wieddeman, E., 70. Woepcke, 32, 34, 69, 70. Word numerals, 31. \*Wu-t'sao, the\*, 40. ### [c13.24](https://indike.org/pramana/ins.science.kaye-1915.c13.24) \*Yāvat tāvat\*, 24-25, 26(\*a\*). Yoshio Mikami, 38, 41, 70. ### [c13.25](https://indike.org/pramana/ins.science.kaye-1915.c13.25) Zero, 64. 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