aberration of light, 315, 496
Abraham, 311, 490-1, 505-7, 509, 515-6
absolute motion, 107 orientation, 83 space, 85, 93, 246, 257, 353
acceleration, 94, 98, 486, 509
accidental constant, 112 errors, 171, 402
accommodation of the eyes, 67-8
action at a distance, 137
addition, 34
aim of mathematics, 280
alchemists, 11
Alfaro, 543
algebra, 379
analogy, 220
analysis, 218-9, 279
analysis situs, 53, 239, 381
analyst, 210, 221
ancestral experience, 91
Andrade, 93, 104, 228
Andrews, 153
angle sum of triangle, 58
Anglo-Saxons, 3
antinomies, 449, 457, 477
Arago, 540-1
Aristotle, 205, 292, 460
arithmetic, 34, 379, 441, 463
associativity, 35
assumptions, 451, 453
astronomy, 81, 289, 315, 512
Atwood, 446
axiom, 60, 63, 65, 215
Bacon, 128
Bartholi, 503
Bassot, 542
beauty, 349, 368
Becquerel, 312
Beltrami, 56, 58
Bergson, 321
Berkeley, 4
Berthaut, 542
Bertrand, 156, 190, 211, 395
Betti, 239
Biot, 540
bodies, solid, 72
Boltzmann, 304
Bolyai, 56, 201, 203
Borel, 482
Bouguer, 537, 542
Bourgeois, 543
Boutroux, 390, 464
Bradley, 496
Briot, 298
Brownian movement, 152, 410
Bucherer, 507
Burali-Forti, 457-9, 477, 481-2
Caen, 387-8
Calinon, 228
canal rays, 491-2
canals, semicircular, 276
Cantor, 11, 448-9, 457, 459, 477
Cantorism, 381, 382, 480, 484
capillarity, 298
Carlyle, 128
Carnot's principle, 143, 151, 300, 303-5, 399
Cassini, 537
cathode rays, 487-92
cells, 217
center of gravity, 103
central forces, 297
Chaldeans, 290
chance, 395, 408
change of position, 70 state, 70
chemistry of the stars, 295
circle-squarers, 11
Clairaut, 537-8
Clausius, 119, 123, 143
color sensation, 252
Columbus, 228
commutativity, 35-6
compensation, 72
complete induction, 40
Comte, 294
Condorcet, 411
contingence, 340
continuity, 173
continuum, 43 amorphous, 238 mathematical, 46 physical, 46, 240 tridimensional, 240
convention, 50, 93, 106, 125, 173, 208, 317, 440, 451
convergence, 67-8
coordinates, 244
Copernicus, 109, 291, 354
Coulomb, 143, 516
Couturat, 450, 453, 456, 460, 462-3, 467, 472-6
creation, mathematical, 383
creed, 1
Crémieu, 168-9, 490
crisis, 303
Crookes, 195, 488, 527-8
crude fact, 326, 330
Curie, 312-3, 318
current, 186
curvature, 58-9
curve, 213, 346
curves without tangents, 51
cut, 52, 256
cyclones, 353
d'Alembert, 538
Darwin, 518-9
De Cyon, 276, 427
Dedekind, 44-5
Defforges, 542
definitions, 430, 453
deformation, 73, 415
Delage, 277
Delambre, 539
Delbeuf, 414
Descartes, 127
determinism, 123, 340
dictionary, 59
didymium, 333
dilatation, 76
dimensions, 53, 68, 78, 241, 256, 426
direction, 69
Dirichlet, 213
dispersion, 141
displacement, 73, 77, 247, 256
distance, 59, 292
distributivity, 36
Du Bois-Reymond, 50
earth, rotation of, 326, 353
eclipse, 326
electricity, 174
electrified bodies, 117
electrodynamic attraction, 308 induction, 188 mass, 311
electrodynamics, 184, 282
electromagnetic theory of light, 301
electrons, 316, 492-4, 505-8, 510, 512-4
elephant, 217, 436
ellipse, 215
Emerson, 203
empiricism, 86, 271
Epimenides, 478-9
equation of Laplace, 283
Erdély, 203
errors, accidental, 171, 402 law of, 119 systematic, 171, 402 theory of, 402, 406
ether, 145, 351
ethics, 205
Euclid, 62, 86, 202-3, 213
Euclidean geometry, 65, 235-6, 337
Euclid's postulate, 83, 91, 124, 353, 443, 453, 468, 470-1
experience, 90-1
experiment, 127, 317, 336, 446
fact, crude, 326, 330 in the rough, 327 scientific, 326
facts, 362, 371
Fahrenheit, 238
Faraday, 150, 192
Faye, 536
Fechner, 46, 52
Fehr, 383
finite, 57
Fitzgerald, 415-6, 500-1, 505
Fizeau, 146, 149, 309, 498, 504
Flammarion, 400, 406-7
flattening of the earth, 353
force, 72, 98, 444 direction of, 445 -flow, 284
forces, central, 297 equivalence of, 445 magnitude of, 445
Foucault's pendulum, 85, 109, 353
four dimensions, 78
Fourier, 298-9
Fourier's problem, 317 series, 286
Franklin, 513-4
Fresnel, 132, 140, 153, 174, 176, 181, 351, 498
Fuchsian, 387-8
function, 213 continuous, 218, 288
Galileo, 97, 331, 353-4
gaseous pressure, 141
gases, theory of, 400, 405, 523
Gauss, 384-5, 406
Gay-Lussac, 157
generalize, 342
geodesy, 535
geometer, 83, 210, 438
geometric space, 66
geometry, 72, 81, 125, 207, 380, 428, 442, 467 Euclidean, 65, 93 fourth, 62 non-Euclidean, 55 projective, 201 qualitative, 238 rational, 5, 467 Riemann's, 57 spheric, 59
Gibbs, 304
Goldstein, 492
Gouy, 152, 305, 410
gravitation, 512
Greeks, 93, 368
Hadamard, 459
Halsted, 3, 203, 464, 467
Hamilton, 115
helium, 294
Helmholtz, 56, 115, 118, 141, 190, 196
Hercules, 449
Hermite, 211, 220, 222, 285
Herschel, 528
Hertz, 102, 145, 194-5, 427, 488, 498, 502, 504, 510
Hertzian oscillator, 309, 317
Hilbert, 5, 11, 203, 433, 450-1, 464-8, 471, 475-7, 484
Himstedt, 195
Hipparchus, 291
homogeneity, 74, 423
homogeneous, 67
hydrodynamics, 284
hyperbola, 215
hypotheses, 6, 15, 127, 133
hysteresis, 151
identity of spaces, 268 of two points, 259
illusions, optical, 202
incommensurable numbers, 44
induction, complete, 40, 452-3, 467-8 electromagnetic, 188 mathematical, 40, 220 principle of, 481
inertia, 93, 486, 489, 507
infinite, 448
infinitesimals, 50
inquisitor, 331
integration, 139
interpolation, 131
intuition, 210, 213, 215
invariant, 333
Ionians, 127
ions, 152
irrational number, 44
irreversible phenomena, 151
isotropic, 67
Japanese mice, 277, 427
Jevons, 451
John Lackland, 128
Jules Verne, 111, 536
Jupiter, 131, 157, 231, 289
Kant, 16, 64, 202-3, 450-1, 471
Kauffman, 311, 490-1, 495, 506-7, 522, 545
Kazan, 203
Kelvin, 145, 523-4, 526-7
Kepler, 120, 133, 153, 282, 291-2
Kepler's laws, 136, 516
kinematics, 337
kinetic energy, 116 theory of gases, 141
Kirchhoff, 98-9, 103-5
Klein, 60, 211, 287
knowledge, 201
König, 144, 477
Kovalevski, 212, 286
Kronecker, 44
Lacombe, 543
La Condamine, 535, 537-8, 542-3
Lagrange, 98, 151, 179
Laisant, 383
Lallamand, 543
Langevin, 509
Laplace, 298, 398, 514-5, 518, 522, 538
Laplace's equation, 283, 287
Larmor, 145, 150
Lavoisier's principle, 301, 310, 312
law, 207, 291, 395
Leibnitz, 32, 450, 471
Le Roy, 28, 321-6, 332, 335, 337, 347-8, 354, 468
Lesage, 517-21
Liard, 440
Lie, 62-3, 212
light sensations, 252 theory of, 351 velocity of, 232, 312
Lindemann, 508
line, 203, 243
linkages, 144
Lippmann, 196
Lobachevski, 29, 56, 60, 62, 83, 86, 203
Lobachevski's space, 239
local time, 306-7, 499
logic, 214, 435, 448, 460-2, 464
logistic, 457, 472-4
logisticians, 472
Lorentz, 147, 149, 196-7, 306, 308, 311, 315, 415-6, 492, 498-502, 504-9, 512, 514-6, 521
Lotze, 264
luck, 399
Lumen, 407-8
MacCullagh, 150
Mach, 375
Mach-Delage, 276
magnetism, 149
magnitude, 49
Mariotte's law, 120, 132, 157, 342, 524
Maros, 203
mass, 98, 312, 446, 486, 489, 494, 515
mathematical analysis, 218 continuum, 46 creation, 383 induction, 40, 220 physics, 136, 297, 319
mathematics, 369, 448
matter, 492
Maupertuis, 535, 537-8
Maurain, 543
Maxwell, 140, 152, 175, 177, 181, 193, 282-3, 298, 301, 304-5, 351, 503, 524-5
Maxwell-Bartholi, 309, 503-4, 519, 521
Mayer, 119, 123, 300, 312, 318
measurement, 49
Méchain, 539-40
mechanical explanation, 177 mass, 312
mechanics, 92, 444, 486, 496, 512 anthropomorphic, 103 celestial, 279 statistical, 304
Méray, 211
metaphysician, 221
meteorology, 398
mice, 277
Michelson, 306, 309, 311, 316, 498, 500-1
milky way, 523-30
Mill, Stuart, 60-1, 453-4
Monist, 4, 89, 464
moons of Jupiter, 233
Morley, 309
motion of liquids, 283 of moon, 28 of planets, 341 relative, 107, 487 without deformation, 236
multiplication, 36
muscular sensations, 69
Nagaoka, 317
nature, 127
navigation, 289
neodymium, 333
neomonics, 283
Neumann, 181
Newton, 85, 96, 98, 109, 153, 291, 370, 486, 516, 536, 538
Newton's argument, 108, 334, 343 law, 111, 118, 132, 136, 149, 157, 233, 282, 292, 512, 514-5, 518, 525 principle, 146, 300, 308-9, 312
no-class theory, 478
nominalism, 28, 125, 321, 333, 335
non-Euclidean geometry, 55, 59, 388 language, 127 space, 55, 235, 237 straight, 236, 470 world, 75
number, 31 big, 88 imaginary, 283 incommensurable, 44 transfinite, 448-9 whole, 44, 469
objectivity, 209, 347, 349, 408
optical illusions, 202
optics, 174, 496
orbit of Saturn, 341
order, 385
orientation, 83
osmotic, 141
Padoa, 463
Panthéon, 414
parallax, 470
parallels, 56, 443
Paris time, 233
parry, 419-22, 427
partition, 45
pasigraphy, 456-7
Pasteur, 128
Peano, 450, 456-9, 463, 472
Pender, 490
pendulum, 224
Perrier, 541
Perrin, 195
phosphorus, 333, 468, 470-1
physical continuum, 46
physics, 127, 140, 144, 279, 297
physics of central forces, 297 of the principles, 299
Pieri, 11, 203
Plato, 292
Poincaré, 473
point, 89, 244
Poncelet, 215
postulates, 382
potential energy, 116
praseodymium, 333
principle, 125, 299 Carnot's, 143, 151, 300, 303-5, 399 Clausius', 119, 123, 143 Hamilton's, 115 Lavoisier's, 300, 310 Mayer's, 119, 121, 123, 300, 312, 318 Newton's, 146, 300, 308-9, 312 of action and reaction, 300, 487, 502 of conservation of energy, 300 of degradation of energy, 300 of inertia, 93, 486, 507 of least action, 118, 300 of relativity, 300, 305, 498, 505
Prony, 445
psychologist, 383
Ptolemy, 110, 291, 353-4
Pythagoras, 292
quadrature of the circle, 161
qualitative geometry, 238 space, 207 time, 224
quaternions, 282
radiometer, 503
radium, 312, 318, 486-7
Rados, 201
Ramsay, 313
rational geometry, 5, 467
reaction, 502
reality, 217, 340, 349
Réaumur, 238
recurrence, 37
Regnault, 170
relativity, 83, 305, 417, 423, 498, 505
Richard, 477-8, 480-1
Riemann, 56, 62, 145, 212, 239, 243, 381, 432 surface, 211, 287
Roemer, 233
Röntgen, 511, 520
rotation of earth, 225, 331, 353
roulette, 403
Rowland, 194-7, 305, 489
Royce, 202
Russell, 201, 450, 460-2, 464-7, 471-4, 477-82, 484-5
St. Louis exposition, 208, 320
Sarcey, 442
Saturn, 231, 317
Schiller, 202
Schliemann, 19
science, 205, 321, 323, 340, 354
Science and Hypothesis, 205-7, 220, 240, 246-7, 319, 353, 452
semicircular canals, 276
series, development in, 287 Fourier's, 286
Sirius, 226, 229
solid bodies, 72
space, 55, 66, 89, 235, 256 absolute, 85, 93 amorphous, 417 Bolyai, 56 Euclidean, 65 geometric, 66 Lobachevski's, 239 motor, 69 non-Euclidean, 55, 235, 237 of four dimensions, 78 perceptual, 66, 69 tactile, 68, 264 visual, 67, 252
spectra, 316
spectroscope, 294
Spencer, 9
sponge, 219
Stallo, 10
stars, 292
statistical mechanics, 304
straight, 62, 82, 236, 433, 450, 470
Stratonoff, 531
surfaces, 58
systematic errors, 171
tactile space, 68, 264
Tait, 98
tangent, 51
Tannery, 43
teaching, 430, 437
thermodynamics, 115, 119
Thomson, 98, 488
thread, 104
time, 223 equality, 225 local, 306, 307 measure of, 223-4
Tisserand, 515-6
Tolstoi, 354, 362, 368
Tommasina, 519
Transylvania, 203
triangle, 58 angle sum of, 58
truth, 205
Tycho Brahe, 133, 153, 228
unity of nature, 130
universal invariant, 333
Uriel, 203
van der Waals, 153
Vauban, 210
Veblen, 203
velocity of light, 232, 312
Venus of Milo, 201
verification, 33
Virchow, 21
visual impressions, 252 space, 67, 252
Volga, 203
Voltaire, 537-8
Weber, 117, 515-6
Weierstrass, 11, 212, 432
Whitehead, 472, 481-2
whole numbers, 44
Wiechert, 145, 488
x-rays, 152, 511, 520
Zeeman effect, 152, 196, 317, 494
Zeno, 382
Zermelo, 477, 482-3
zigzag theory, 478
zodiac, 398, 404
* * * * *
Transcriber's Note: The Greek alphabets are represented within square brackets. For example, [alpha] stands for first Greek alphabet alpha. Square root of a number is represented using the symbol (sqrt). That is to say, sqrt(25) stands for square root of 25. The superscript is shown with carat (^) symbol, example, 10^{5} stands for 5th power of 10. Similarly, subscript is represented by underscore (_) symbol. For instance, n_{3} stands for letter n with subscript 3.
