And finally when the geodesist sees it is necessary to move his telescope some seconds to see a signal he has set up with great pains, this is a very small fact; but this is a fact of great outcome, not only because this reveals to him the existence of a small protuberance upon the terrestrial globe, that little hump would be by itself of no great interest, but because this protuberance gives him information about the distribution of matter in the interior of the globe, and through that about the past of our planet, about its future, about the laws of its development.
INDEX
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]
FOOTNOTES
[1] See Le Roy, 'Science et Philosophie,' Revue de Métaphysique et de Morale, 1901.