INDEX
Aberration, 59
Absorption of energy, 54
Acceleration, 76, 78, 83
Action at a distance, 57
Addition of velocities, 19, 46
Adjacent points, 105
Aether, 62
——— -drift, 62, 63
Arbitrary substitutions, 116
Astronomy, 8, 121
Astronomical day, 12
Axioms, 2, 149
——— truth of, 2
Bachem, 158
Basis of theory, 52
“Being,” 78, 128
-rays, 59
Biology, 149
Cartesian system of co-ordinates, 7, 100, 147
Cathode rays, 59
Celestial mechanics, 125
Centrifugal force, 94, 156
Chest, 78
Classical mechanics, 9, 13, 16, 20, 36, 52, 84, 121, 123, 150
——— truth of, 15
Clocks, 11, 28, 95, 96, 112, 114, 117–120, 121, 135, 155
——— rate of, 156
Conception of mass, 54
——— position, 6
Conservation of energy, 54, 121
——— impulse, 121
——— mass, 54, 56
Continuity, 113
Continuum, 65, 98
Continuum, two-dimensional, 112
——— three-dimensional, 67
——— four-dimensional, 106, 108, 109, 112, 147
——— space-time, 93, 108-114
——— Euclidean, 99, 101, 104, 110
——— non-Euclidean, 102, 107
Co-ordinate differences, 109
——— differentials, 109
——— planes, 38
Cottingham, 154
Counter-point, 133
Co-variant, 51
Crommelin, 154
Curvature of light-rays, 124, 152
——— space, 153
Curvilinear motion, 88
Cyanogen bands, 158
Darwinian theory, 149
Davidson, 154
Deductive thought, 148
Derivation of laws, 52
De Sitter, 21
Displacement of spectral lines, 124, 155
Distance (line-interval), 3, 5, 8, 34, 35, 99, 104, 129
——— physical interpretation of, 5
——— relativity of, 34
Doppler principle, 59
Double stars, 21
Eclipse of star, 21
Eddington, 124, 154
Electricity, 90
Electrodynamics, 15, 24, 48, 52, 90
Electromagnetic theory, 58
——— waves, 75
Electron, 52, 60
——— electrical masses of, 60
Electrostatics, 90
Elliptical space, 133
Empirical laws, 148
Encounter (space-time coincidence), 113
Equivalent, 16
Euclidean geometry, 1, 2, 68, 97, 101, 104, 128, 120, 135, 147
—————— propositions of, 3, 8
——— space 68, 102, 147
Evershed, 158
Experience, 59, 70
Faraday, 56, 74
FitzGerald, 63
Fixed stars, 12
Fizeau, 46, 58, 61
——— experiment of, 46
Frequency of atom, 157
Gallilei, 12
——— transformation, 40, 43, 45, 50, 61
Galileian system of co-ordinates, 13, 15, 17, 54, 93, 108, 116, 119
Gauss, 102, 103, 106
Gaussian co-ordinates, 103, 105, 112, 114–118
General theory of relativity, 69–124, 115
Geometrical ideas, 2, 3
——— propositions, 1
—————— truth of, 2–4
Gravitation, 75, 82, 92, 121
Gravitational field, 75, 79, 87, 91, 111, 116, 119, 120, 136
—————— potential of, 157
——— mass, 76, 81, 121
Grebe, 158
Group-density of stars, 126
Helmholtz, 128
Heuristic value of relativity, 50
Induction, 148, 149
Inertia, 77
Inertial mass, 55, 76, 81, 120, 121
Instantaneous photograph (snapshot), 141
Intensity of gravitational field, 127
Intuition, 148
Ions, 53
Kepler, 152
Kinetic energy, 53, 121
Lattice, 128
Laws of Galilei-Newton, 15
Law of inertia, 12, 71, 72, 170
Laws of Nature, 70, 84, 118
Leverrier, 123, 152
Light-signal, 40, 139, 143
Light-stimulus, 40
Limiting velocity (), 43, 44
Lines of force, 126
Lorentz, H. A., 24, 48, 52, 58, 59–63
——— transformation, 39, 46, 50, 108, 116, 139, 143, 144, 146
—————— (generalised), 144
Mach, E., 86
Magnetic field, 74
Manifold (see Continuum)
Mass of heavenly bodies, 159
Matter, 120
Maxwell, 49, 52, 56-59, 61
——— fundamental equations, 56, 90
Measurement of length, 101
Measuring-rod, 5, 6, 34, 95, 96, 112, 119, 121, 132, 135, 141
Mercury, 123, 152
——— orbit of, 123, 152
Michelson, 62–64
Minkowski, 65–68, 108, 147
Morley, 63, 64
Motion, 16, 70
——— of heavenly bodies, 16, 17, 52, 122, 135
Newcomb, 152
Newton, 12, 86, 122, 126, 150
Newton’s constant of gravitation, 158
——— law of gravitation, 57, 94, 127, 149
——— law of motion, 76
Non-Euclidean geometry, 128
Non-Galileian reference-bodies, 117
Non-uniform motion, 72
Optics, 15, 24, 52
Organ-pipe, note of, 17
Parabola, 9, 10
Path-curve, 10
Perihelion of Mercury, 150–152
Physics, 8
——— of measurement, 7
Place specification, 6
Plane, 1, 128, 129
Poincaré, 128
Point, 1
Point-mass, energy of, 54
Position, 9
Principle of relativity, 15–17, 23, 24, 70
Processes of Nature, 50
Propagation of light, 21, 23, 24, 36, 108, 143
—————— in liquid, 47
—————— in gravitational fields, 88
Quasi-Euclidean universe, 136
Quasi-spherical universe, 136
Radiation, 55
Radioactive substances, 59
Reference-body, 5, 7, 8–11, 22, 28, 31, 32, 44, 70
——— rotating, 94
——— mollusk, 118-120
Relative position, 3
——— velocity, 141
Rest, 17
Riemann, 102, 128, 132
Rotation, 95, 147
Schwarzschild, 158
Seconds-clock, 44
Seeliger, 125, 127
Simultaneity, 26, 29-32, 96
——— relativity of, 31
Size-relations, 107
Solar eclipse, 89, 153, 155
Space, 9, 62, 65, 125
——— conception of, 24
Space co-ordinates, 66, 96, 118
Space-interval, 36, 67
——— point, 118
Space, two-dimensional, 128
——— three-dimensional, 147
Special theory of Relativity, 1–68, 24
Spherical surface, 129
——— space, 132, 133
St. John, 159
Stellar universe, 126
——— photographs, 153
Straight line, 1–3, 9, 10, 97, 105, 129
System of co-ordinates, 5, 10, 11
Terrestrial space, 18
Theory, 148
——— truth of, 149
Three-dimensional, 65
Time, conception of, 24, 61, 125
——— co-ordinate, 66, 118
——— in Physics, 26, 117, 146
——— of an event, 28, 32
——— interval, 36, 67
Trajectory, 10
“Truth,” 2
Uniform translation, 14, 69
Universe (World), structure of, 128, 135
——— circumference of, 131
Universe, elliptical, 133, 136
——— Euclidean, 130, 132
——— space expanse (radius) of, 137
——— spherical, 132, 136
Value of 7, 97, 130
Velocity of light, 11, 21, 22, 89, 143
Venus, 152
Weight (heaviness), 77
World, 65, 66, 130, 147
World-point, 147
——— -radius, 133
——— -sphere, 130, 131
Zeeman, 48