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Accelerated masses, inductive action of, 1
Addition and subtraction of tensors, 2
theorem of velocities, 3
Biot-Savart force, 4
Centrifugal force, 5
Clocks, moving, 6
Compressible viscous fluid, 7
Concept of space, 8
time, 9
Conditions of orthogonality, 10
Congruence, theorems of, 11
Conservation principles, 12
Continuum, four-dimensional, 13
Contraction of tensors, 14
Contra-variant vectors, 15
tensors, 16
Co-ordinates, preferred systems of, 17
Co-variance of equation of continuity, 18
Co-variant, 19
vector, 20
Criticism of principle of inertia, 21
Criticisms of theory of relativity, 22
Curvilinear co-ordinates, 23
Differentiation of tensors, 24, 25
Displacement of spectral lines, 26
tensor of electromagnetic field, 29
of matter, 30
Equation of continuity, co-variance of, 31
Equations of motion of material particle, 32
Equivalence of mass and energy, 33
Equivalent spaces of reference, 34
Euclidean geometry, 35
Finiteness of universe, 36
Fizeau, 37
Four-dimensional continuum, 38
Four-vector, 39
Fundamental tensor, 40
Galilean regions, 41
transformation, 42
Gauss, 43
Geodetic lines, 44
Geometry, Euclidean, 45
Gravitation constant, 46
Gravitational mass, 47
Homogeneity of space, 48
Hydrodynamical equations, 49
Hypotheses of pre-relativity physics, 50
Inductive action of accelerated masses, 51
Inert and gravitational mass, equality of, 52
Invariant, 53
Isotropy of space, 54
Kaluza, 55
Levi-Civita, 56
Light-cone, 57
Light ray, path of, 58
Light-time, 59
Linear orthogonal transformation, 60
Lorentz electromotive force, 61
transformation, 62
equality of gravitational and inert, 71
gravitational, 72
Maxwell’s equations, 73
Mercury, perihelion of, 74, 75
Michelson and Morley, 76
Minkowski, 77
Motion of particle, equations of, 78
Moving measuring rods and clocks, 79
Multiplication of tensors, 80
Newtonian gravitation constant, 81
Operations on tensors, 82
Orthogonal transformations, linear, 83
Orthogonality, conditions of, 84
Path of light ray, 85
Poisson’s equation, 88
Preferred systems of co-ordinates, 89
Pre-relativity physics, hypotheses of, 90
Principle of equivalence, 91
inertia, criticism of, 92
Principles of conservation, 93
Radius of Universe, 94
Rank of tensor, 95
Ray of light, path of, 96
Reference, space of, 97
Riemann, 98
Rods (measuring) and clocks in motion, 102
Rotation, 103
Sitter, 106
Skew-symmetrical tensor, 107
Solar Eclipse expedition (1919), 108
Space, Concept of, 109
Homogeneity of, 110
Isotropy of, 111
Spaces of reference, 112
equivalence of, 113
Special Lorentz transformation, 114
Spectral lines, displacement of, 115
Straightest lines, 116
Stress tensor, 117
Symmetrical tensor, 118
Systems of co-ordinates, preferred, 119
Addition and subtraction of, 122
Contraction of, 123
Fundamental, 124
Multiplication of, 125
operations, 126
Rank of, 127
Symmetrical and Skew-symmetrical, 128
Tensors, formation by differentiation, 129
Theorem for addition of velocities, 130
Theorems of congruence, 131
Theory of relativity, criticisms of, 132
Thirring, 133
Time-concept, 134
Time-space concept, 135
Transformation, Galilean, 136
Linear orthogonal, 137
Universe, Finiteness of, 138
Radius of, 139
Vector, co-variant, 140
contra-variant, 141
Velocities, addition theorem of, 142
Viscous compressible fluid, 143
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