Indian Mathematics c13: X. Index
Indian Mathematics c13
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X. Index
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
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
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
Damascius, 15, 42. Decimal notations (*see* Place-value notations). Delian problem, 7. Diophantus, 15, 16, 22, 25, 70.
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
Fleet, J. F., 69. Fractions, 5, 51.
c13.7
Geometry, 14, 20-22, 46, 58*f*. Gnomons, 5-6. Greek influence, 2, 9, 16, 17, 22, 45.
c13.8
Greek terms, 9, 26. Günther, S., 70.
c13.9
Hankel, H., 17, 34. Heath, Sir T. L., 17, 70. Hoernle, R., 69. Hypatia, 15, 16.
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
Jamblichus, 42. Jones, Sir W., 1.
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
Nau, F., 31. Nicomachus, 42. ‘*Nine Sections’ Arithmetic*, the, 38-39. Notations, 2, 27-32, 69. Numerical words, 31.
c13.14
‘Omar *b.* Ibrāhīm el-Chaijāmī, 43.
c13.15
Padmanābha, 14, 37.
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
Qosṭa *b.* Luqā, 42-43. Quadratic equations, 16-18, 24, 63-66. Quadrilaterals, 20-22, 60-61.
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
‘*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
'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
Varāha Mihira, 2, 9, 35, 36, 68. *Vija Ganita*, the, 24, 37, 50, 51-66. Vishnuchandra, 35, 36.
c13.22
Volumes, 13, 21, 61, 62.
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
*Yāvat tāvat*, 24-25, 26(*a*). Yoshio Mikami, 38, 41, 70.
c13.25
Zero, 64. Zeuthen, H., 70.
c13.30
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