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William Oughtred: A Great Seventeenth-Century Teacher of Mathematics

Chapter 31: INDEX
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About This Book

A scholarly portrait traces the life, career, and teaching methods of a seventeenth-century mathematician, recounting his education, school and parish posts, and habits as a teacher. It surveys his principal and minor writings, with close attention to an influential algebra treatise, his symbolic innovations, and a contested claim to the invention of the slide rule. The study examines his impact on pupils and contemporaries, the diffusion of his notation, and debates over priority and influence, and concludes with an account of his pedagogical convictions, especially the use of visual reasoning and instruments in mathematical instruction.

INDEX

Adam, Charles, 71
Agnesi, Maria G., 77
Alexander, J., 76
Allen, E., 35
Analysis, 19, 20
Apollonius of Perga, 20, 85
Archimedes, 18, 20, 85
Aristotle, 69
Ashmole, E., 13
Atkinson, J., 79
Atwood, 56
Aubrey, 3, 7, 8, 12-16, 58, 59
Austin, 58
Baker, T., 82
Balam, R., 79
Bar-le-Duc, de, 80
Barrow, S., 1, 32, 73, 74, 80, 81
Bartaloni, D., 79
Beman, W. W., 74, 75
Bernoulli, Jakob, 78-80
Bernoulli, John, 79, 80
Billingsley’s Euclid, 15
Billion, 20
Billy, Jacobo de, 80
Binomial formula, 25, 29
Bliss, P., 60
Boscovich, R. G., 78
Bosmans, H., 72, 83
Boyle, R., 1, 69
Braunmühl, von, 39
Brearly, W., 59
Briggs, 6, 36, 55
Brookes, Christopher, 7, 53, 59
Cajori, F., 27, 39, 40, 47
Cantor, M., 40, 41
Caraccioli, J. B., 78
Cardan, 71
Carré, 77
Carrete, N. M., 78
Caryll, C., 7
Cataldi, 67
Cavalieri, 65, 66
Cavendish, Charles, 17, 62, 66
Charles I, 9, 60
Chelvicius, P., 79
Cheyne, G., 82
Circles of Proportion, 35, 37, 48, 49, 51, 59, 87, 88
Clairaut, 77
Clark, A., 3
Clark, G., 63
Clarke, F. L., 3
Clavis mathematicae, 1, 5, 10, 14, 17-35, 45, 46, 51, 57-63, 68-73, 81, 85, 87
Clavius, 26, 80
Clerc, le, 77
Cobb, S., 76
Cocker, 76, 82
Collins, John, 15, 19, 63, 64, 67, 68, 76, 82
Colson, J., 77
Conchoid, 12
Conic sections, 11, 53
Cossali, P., 81
Cotes, R., 1, 85
Craig, J., 76, 82
Cross, symbol of multiplication, 27, 38, 55, 56, 82, 83
Cubic equations, 28, 34, 42, 45
Decimal fractions, notation of, 21
Degree, centesimal division, 39
Delamain, R., 4, 9, 10, 11, 47, 48, 51, 60, 84, 88, 89, 91, 93, 94
De Moivre, 32, 79
De Morgan, A., 5, 16, 37, 46, 47, 54
Descartes, R., 1, 25, 47, 57, 68-72, 80
Dibuadius, 79
Difference, symbol for, 27, 81
Diophantus, 63, 85
Division, abbreviated, 21, 23, 24
Dulaurens, F., 74, 82
Earl of Arundel, 10, 13, 15, 17
Edleston, J., 95
Eneström, G., 40
Equations, solution of, 18, 28, 29, 31, 34, 39-45, 87
Errard de Bar-le-Duc, 80
Eton College, 3, 4
Euclid, 1, 15, 18, 20, 25, 27, 28, 79, 81, 83, 85
Euler, L., 37, 39
Ewart, 59
Exponents, 25, 28, 29
Fagnano, de, 78
Flower, 56
Fontenelle, de, 77
Forster, W., 35, 48, 59, 88
Foster, S., 27, 67, 69, 73, 80, 89
Frisi, P., 78
Gascoigne, 59, 61
Gauss, C. F., 48
Geysius, 67
Ghetaldi, 70, 71
Gibson, 67
Girard, A., 32, 80
Glaisher, J. W. L., 54-56, 64, 80
Glorioso, 67, 68
Grammelogia, 4, 47, 89
Gravelaar, 83
Greater than, symbol for, 81
Greatrex, R., 15
Gregory, D., 32
Gregory, J., 27, 76
Gresham College, 1, 6, 27, 59, 61, 80
Guisnée, 77
Gunter, E., 37, 47, 86
Gunter’s scale, 37
Halcken, P., 78
Hales, J., 7
Halley, E., 1, 18, 69
Hankel, H., 40
Harper, T., 18
Harriot, T., 45, 47, 57, 58, 69-71, 81
Harris, J., 76
Hartlib, 69
Haughton, A., 35, 59
Hawkins, J., 76, 82
Hearn, 56
Helmholtz, 48
Henry, J., 48
Henry van Etten, 52, 53
Henshaw, T., 8, 58, 61
Hobbes, 73, 86
Hollar, 14
Holsatus, 13
Hooganhuysen, 64
Hooke, Rb., 1
Horner’s method, 45
Horology, 18, 50
Horrox, J., 4
Hospital, de l’, 74, 77
Howard, Th. See Earl of Arundel.
Howard, W., 17, 18, 59
Hutchinson, A., 6
Invisible college, 1
Joule, 48
Kepler, J., 6
Kersey, J., 32, 73, 82
Keylway, R., 65
King, 67
Kings College, Cambridge, 3, 35
Krafft, G. W., 79
Lambert, J. H., 79
Lamy, R. P. B., 74
Laud, Archbishop, 65
Leake, W., 53
Le Clerc, 77
Leech, W., 59
Le Fèvre, 77
Leibniz, 47, 78, 80
Leonelli, 56
Le Paige, de, 83
Less than, symbol for, 81
Leurechon, 52
Leybourn, 35, 64, 76
Lichfield, Mrs., 19
Lilly, W., 8, 9
Locke, J., 67
Logarithms, 6, 21, 27, 28, 38, 39, 42, 46, 54-56, 65, 92, 93;
natural, 55;
radix method of computing, 55, 56
Lower, W., 58
Ludolph à Ceulen, 79
Manning, 56
Manning, O., 7, 8, 13-15
Mascheroni, L., 78
Mayer, R., 47
Melandri, D., 78
Mercator, N., 13
Mersenne, 63
Milbourn, W., 45
Million, 20
Milnes, J., 82
Moivre, de, 32, 79
Moore, Jonas, 32, 54, 58, 73
Moreland, S., 70
Morse, R., 48
Multiplication, abbreviated, 21, 22, 24;
symbol for, 27, 82, 83
Mydorge, 54
Napier, J., 6, 7, 21, 27, 38, 39, 52, 54, 57, 59
Napier’s analogies, 39
Newton, Sir Isaac, 1, 25, 29, 40, 41, 45, 47, 59, 65, 86, 92-95
Nichols, J., 6, 14
Nicolas, R. P. P., 74
Nieuwentiit, B., 78
Norwood, R., 37, 38, 80
Opuscula mathematica hactenus inedita, 16, 21, 75
Orchard, 56
Oughtredus explicatus, 64
Ozanam, 74
π, symbol for, 32
Paige, C. de, 83
Pardies, 76
Parentheses, 26, 79, 80
Partridge, S., 47
Peano, 86
Perfect number, 41
Pitiscus, 15
Planisphere, 53, 92, 93
Prestet, J., 74
Price, 11
Proportion, notation for, 26, 27, 73-79
Protheroe, 58
Ptolemy, 83
Quadratic equation, 29, 31, 34
Radix method, 55, 56
Rahn, 27
Raphson, J., 40, 41, 76
Ratio, notation of, 21, 73-80
Rawlinson, R., 39, 82
Regula falsa, 18
Regular solids, 18
Riccati, G., 78
Riccati, V., 78
Rigaud, 7, 12, 13, 19, 48, 61-66, 68
Robillard, 77
Robinson, W., 13, 48, 59, 62, 63
Rooke, L., 59, 61
Saladini, H., 78
Sanders, W., 76
Sault, R., 82
Scarborough, Charles, 16, 54, 58, 60
Schooten, Van, 1
Schreshensuchs, O., 83
Scratch method, 23
Shakespeare, 52
Shelley, G., 76
Shipley, A. E., 1
Shuttleworth, 59
Slide rule, 9, 46-49, 50, 60, 88, 93
Smethwyck, 58
Smith, J., 50
Snellius, W., 79
Solids, regular, 18
Speidell, John, 38, 55
Spherical triangles, 53, 54, 93
Stokes, R., 35, 36, 58
Sudell, 59
Sun dials, 5, 9, 50, 51, 52, 60, 92
Tannery, P., 71
Todhunter, 60
Torporley, 58
Triangles, spherical, 53, 54, 93
Trigonometria, 21, 36, 55, 75
Trigonometric functions, symbols for, 36, 37, 55, 56
Trigonometrie, 21, 35, 39
Trisection of angles, 28
Twysden, 59, 68, 69, 73
Varignon, 77
Vieta, 1, 2, 25, 32, 33, 35, 39-41, 45, 63, 67, 70, 71
Vlack, 65
Von Braunmühl, 39
Wadham College, 5, 53
Wallis, John, 1, 19, 27, 33, 45, 57-59, 63, 64, 66-74, 79-81, 86
Walmesley, D. C., 79
Ward, Bishop, 13
Ward, John, 76
Ward, Seth, 55, 58, 60, 68, 73, 74, 81
Watch-making, 18, 50
Weber, W. E., 48
Weddle, 56
Wells, E., 76, 82
Wharton, 60
Whitlock, B., 8, 9
Wilson, J., 77, 82
Wing, V., 73, 75
Wingate, E., 32, 47, 73
Wolf, Christian, 79
Wood, A., 60, 61
Wood, R., 18, 59
Wren, Christopher, 5, 58, 59, 76
Wright, E., 6, 27, 38, 54
Wright, S., 54