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| Ïîèñê ïî óêàçàòåëÿì |
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| Kline M. — Mathematics in Western Culture |
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| Ïðåäìåòíûé óêàçàòåëü |
Leverrier, Urbain J. J. 210 304 446
Light 197 226—227 237—238 252 310 314—320 435 439 447 465
LIMIT 230
Literature, Greek 39 56 58
Literature, Greek, in Newtonian age 372—381 284—285
Literature, Greek, Romantic reaction 281—4
Lobatchevsky, Nicholas 413—418 421—427 429 431 444 452
Locke, John 244—246 249 263 270—271 275 277 282 324 328—331
Logic 54—55 239—240
Logic, symbolic 240
Logistica 31
Lorenzetti, Ambrogio 131—132
Loudness 298
Lucretius 405
Luther, Martin 123—124 234
Madison, James 330
Maelaurin, Colin 232
Magellan, Ferdinand 270
Magnetism 305—306 317 320
Malthus, Thomas R. 333—334
Mantegna 142
Map projections, gnomonic 152
Map projections, gnomonic, Mercator 155—157
Map projections, gnomonic, perspective cylindrical 155
Map projections, gnomonic, stereographic 153—155
Map-making 72 151—157
Martini, Simone 129
Masaccio 132 140
Mass 190—191 201—202 434—435 445—446;
Mass, energy 447
Mass, relativity of 447
Materialism 243—246 252—254 256 259
Mathematical creation 4—7 430—431 456—460
Mathematical Principles of Natural Philosophy 197 206—207 231 236 260 264
Mathematics as method 4 161—162 454—461
Mathematics, pure and applied 462
Mather, Cotton 234
Matter, geometrization of 445 452
Matter, geometrization of, structure of 380—382 385
Maupertuis, Pierre L. M. de 228—229
Maximum-minimum principle 226—229
Maxwell, James C 304—306 308—311 314—321 374 465
Mecanique Analytique 209 241
Mecanique Celeste 210 241 266
Mechanical philosophy of nature 187 237—238 243—244 262 319—320
Mechanics, Greek 184 188—190
Mechanics, Newtonian 189—195 199—206 241 286 445
Mechanics, relativistic 446
Medicine 94—95 341—343 357—358 365 368
Mendel, Gregor 365—366
Menelaus 63
Mercator, Gerard 151 155—157
Mercury, motion of 446
Mere, Chevalier de 359—360
Merz, Theodore 340
Method in philosophy 161—163
Mettrie, Julian O. de la 238 253 267 270
Michelangelo 134 142 350
Michelson, Albert A. 436—437 439 451
Mill, James 324 331
Mill, John S. 332
Millay, Edna St. V. 40
Milton, John 89 110 122—123
Minkowski, Hermann 441—442 451
Miracles 263—265
Montaigne, Michel de 265
Montesquieu, Charles de S. de 339
Moore, Eliakim H. 408
Morley, Edward W. 436—437 439 451
Motion, concept of 404—405 (see also “Laws of motion”)
Museum of Alexandria 61 85 87
MUSIC 33 76 94 287—303 457—458
Mysticism, in Babylonia and Egypt 19—21
Mysticism, medieval 91
Mysticism, Pythagorean 40—41 76—78
Natural rights of man 328—331
negative numbers 93
Neptune, discovery of 210 304
Newman, Cardinal John H. 268
Newton, Sir Isaac 4 6 11 12 78 97 101 109 181 184 196—201 204—206 208—213 214—215 217 223 231—232 236 238 240—241 247 253—254 258—262 264 266 269 275 277 281—282 304 316 319 323 326 342 382 384 388—389 391 413 428 433—435 439—440 449—451 469
Non-Euclidean geometry 5 7 251 389 413—431 444 451 453—455 457 466 468
Non-Euclidean geometry and physical space 418—419 421—422 424—426
Normal frequency curve 347—351 369—372 378
Noyes, Alfred 196
Number, abstract 14
Number, abstract, infinite 397—400
Number, abstract, irrational 36—37
Number, abstract, rational 35—36
Number, abstract, transfinite 398
Numbers, theory of 5 31 41 164
Oersted, Hans C 306 309
On the Revolutions of the Heavenly Spheres, loo 110 119
One-to-one correspondence 396 398
Optics 81—2 164—165 172
Ordinate 168
Osier, Dr. William 358
Oxford Movement 268
painting 4
Painting, Babylonian 21
Painting, Byzantine 128—130
Painting, Greek and Roman 128
Painting, in Age of Reason 285
Painting, modern 143
Painting, Renaissance 126—144 147 150 157—158 467
Pappus 63
parabola 6 49—50 149—150 164 171—172
Parabola, equation of 169—170
Paraboloid, equation of 175—176
Paradox, Achilles and tortoise 403
Paradox, arrow 403—404
Paradox, logical 406—408
Parallel axiom, Euclid 411 457
Parallel axiom, Lobatchevsky and Bolyai 415
Parallel axiom, Riemann 423
Pareto, Vilfredo 335 353—354
Partials of a musical sound 298—300
Pascal triangle 364—365 368 371
Pascal, Blaise 147—150 164 207 231 267 275 359—361 363—364 369 374—375
Pascal’s wager 375
Pearl, Raymond 335—338
Perspective, conceptual 127—128
Perspective, focused 136—139 143—145
Perspective, mathematical 127 132—143 146—147 151 471
Perspective, optical 128—131 157
Petty, Sir William 343—344
Philosophy of Age of Reason 243—256
Philosophy of science 183—188 198 206—207
Philosophy of space and time 449—450
Philosophy, Cartesian 161—163
Philosophy, Greek 11 28—29 31—34 39 55—58 110
Philosophy, mechanical 237—238
Philosophy, Renaissance 103—109 132 139—140 Materialism Statistical
Phonodeik 290 303
Physiocrats 332
Picasso, Pablo 467
Piero della Francesca 133 140—141
Pitch 298—299
Place value 14—15 93 240
Plane, equation of 175—176
Plato 6 24 29 31—33 47 50 54 61 74 78—80 84 91 95 114 142 178 184 213
Platonic doctrine of ideas 32—33
Poetry 276—284
Poincart, Henri 397
POLITICS 323—325 328—332 339
Pope Gregory XV 235
Pope Urban VIII 124
Pope, Alexander 234 272 275 278—81 322 376 432
Population growth 333—337 357
Prime 458—459
Primitive civilizations 13
| Principle of least action 228—229
Principle of least time 226—227
Printing 102
Probability, theory of 5 361—362 374 377—393
Projectile motion 6 194—195
Projection 135—139 145—157
Projective geometry 5 144—151 157—158 468—469
Proof, mathematical 27—28 44—45 54 458—459
Prose, emphasis on 276—277
Prose, style 274
Prudhomme, Sully 60
Pseudosphere 421
Psychology 238 323 338—339 365
Ptolemy the First 61
Ptolemy, Claudius 61 63 72—73 84—85 89 111—112 117—118 130 122 143 212 258 391 428 452 469
Pythagoras 6 29 40—41 61 114 143 287
Pythagorean Theorem 8—9 35—36 168
Pythagoreans 32 36 40—41 55 75—78 108 123 213 254 301
Quadrivium 94 287
Quality of a musical sound 298—300
Quantitative interpretation of nature 78 184—7 211 237
Quantum theory 452
Quesnay, Francpis 238 332
Qu^telet, Lambert A. J. 349—350 356
Radar 313—314
Radio 311—314 316—317
Raphael 134 142—143
Rarefaction 288—290
Rational spirit 10 53—54 103—104 238—239 286 322—323 330 338
Rationalistic supernaturalism 263
Rationalization of nature 74—85 104—109 126—127 187 207—208 237—238 316—317
Rayleigh, Lord 470
Reasoning by analogy 25—28
Rectangular co-ordinate system, four-dimensional 177
Rectangular co-ordinate system, three-dimensional 173—176
Rectangular co-ordinate system, two-dimensional 167—169
Reed, Lowell J. 335—338
Reformation 102—103 219
Regular polygons 47
Regular polyhedra 47—48
Relativity, general theory of 443
Relativity, Special Theory of 442
Relativity, theory of 173 229 438—452
Religion, Babylonian 23
Religion, Christian 85
Religion, Egyptian 19 23
Religion, freedom of 235—236 269
Religion, Greek 40
Religion, influence of statistical view of nature on 388
Religion, influence ot rationalism on 257—271
Religion, relation to a maximum-minimum principle 228—229 (see also “Christianity”)
Renaissance 97 100—109 184 237 268
Revelation 263 265
Reynolds, Sir Joshua 285
Ricardo, David 334
Riemann, Bernhard 422—427 429 431 444 458
Rigor 229—233 409
Rolle, Michel 231
Rome xi 12 66 85—86 93 97 287
Rousseau, Jean J. 249—250 322—323
Royal Society 274 318
Russell, Bertrand 5 240 403 462 470
Saccheri, Girolamo 412—414
Saint Augustine 3 90
Saint Thomas Aquinas 96 185 258
Sampling 371—373
Scales, equal-tempered 301—302
Scales, musical 287
Schoenberg, Arnold 302
Scholastics 96—97
Science, compared with mathematics 10 431
Science, emancipation from theology 125
Science, mathematization of 240—242 316—317 451—452
Science, medieval concept of 185
Science, modern approach to 183—91 198 206—208
Science, Renaissance concept of 108—109 112
Scientific laws, nature of 377—394 433—434 439
Sculpture, Greek 11 33—34 39 57
Sculpture, Roman 34 86
Section 135—139 145—147
Seurat, Georges 467
Shaftesbury, Third Earl of 270
Shelley, Percy B. 282
Signorelli 134
Simbolism 7—8 221
Similarity 46 67—68
Simultaneity 437—440
Sine 68 70 291—294 308
Skepticism 262 266
Smith, Adam 332
Snell, Willebrord 226
Society, influence of 5—6 29 101—102 214—215
Socrates 31 54 74 142
Sound 207 287—303 311—313 385
Space 106—107 439
Space, absolute 434
Space, depiction of 129
Space, four-dimensional 177—180
Space, mathematical compared with physical 428—429
Space, relation to time 442
Space, three-dimensional 129 175
Space-time 179—180 229 442 445 449 451
Space-time interval 441—443
Speed, instantaneous 216 218
Sphere, equation of 174
Sphere, geometry on 425—427
Squaring the circle 50—51 458
Stability of solar system 208—211 258
Standard deviation 345—346 369—371
Statistical view of nature 386
Stephen, Sir Leslie 279
Straight line, equation of 166—167
Straight line, structure of 400—402
Style, mathematical 8
Summa Theologiae 96
Superstition 234—235
Superstition, freedom from 269
Surface, equation of 175
Swift, Jonathan 30 38 272 276
Tangent of an angle 68—69
Taylor, Brook 134
Television 315
Tennyson, Alfred 267
Thales 24 40—41 75 305
The Harmony of the World 120
Thomson, James 259
Time 106—107 437—438 451—452
Time, absolute 434 439—440
Time, local 439—440 448
Time, relation to space 442
Time, structure of 402
Tintoretto 143
Tolerance 268—269
Topographia Christiana 89
Trattato delta Pittura 132
Trigonometry 10 67—73 84
Trisecting the angle 50—51 458
Tristram Shandy 395 405—406
Truth 9 160—162 243 389—390 410 429—431
Truth, problem of 243—252
Uccello 140
Ultra-violet rays 315—316
Undefined concepts 42—43 420 454 460—464
Universal laws 212—214 224 226—229
Universal mathematics 165 239—240
Utilitarianism 330—331
Vanishing point 137—139
Variable 185
Vasari, Giorgio 140
Volta, Alessandro 306
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