## Space--time--matter |

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### Common terms and phrases

according aether affine geometry affine relationship arbitrary assume atom axioms bilinear body calculated co-efficients co-ordinate system conception congruent transformation const constant contra-gredient contra-variant components corresponding curvature curve definite denote density derived determined differential form dimensional direction Einstein electric electromagnetic electron energy Euclidean geometry Euclidean space expressed force formula four-dimensional functions fundamental geodetic given gravitational equations gravitational field hence independent inertia infinitely infinitely near points infinitesimal integral invariant linear form linear transformations magnetic manifold mass mathematical matter Maxwell's Maxwell's equations means measure mechanics metrical field metrical groundform metrical space metrical structure motion non-Euclidean non-Euclidean geometry Paperbound parallel displacement plane point-mass positive potential principle of relativity problems quadratic form quantities respect result Riemann rotation scalar second order skew-symmetrical solution sphere statical straight line surface symmetrical tensor-density theorem theory of relativity translation vanish variables velocity vide note world-line world-point xv x2