Proceedings, Volum 24


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Pāgina 25 - All these things being considered, it seems probable to me that God in the beginning formed matter in solid, massy, hard, impenetrable, moveable particles, of such sizes and figures, and with such other properties and in such proportion to space as most conduced to the end for which he formed them; and that these primitive particles being solids are incomparably harder than any porous bodies compounded of them, even so very hard as never to wear or break in pieces, no ordinary power being able to...
Pāgina 44 - That gravity should be innate, inherent, and essential to matter, so that one body may act upon another at a distance through a vacuum, without the mediation of anything else, by and through which their action and force may be conveyed from one to another, is to me so great an. absurdity, that I believe no man who has in philosophical! matters a competent faculty of thinking, can ever fall into it.
Pāgina 44 - It is inconceivable, that inanimate brute matter should, without the mediation of something else, which is not material, operate upon, and affect other matter without mutual contact; as it must do, if gravitation, in the sense of Epicurus, be essential and inherent in it.
Pāgina 95 - Tait e, f, g, simple elongations ;• a, b, c, shearings). Both these faults are avoided if we take the six lengths of the six edges of a tetrahedron of the solid, or what amounts to the same, though less simple, the three pairs of face-diagonals of a hexahedron*, as the specifying elements. This I have thought of for the last thirty years, but not till to-day (Dec.
Pāgina 208 - Every infinite homogeneous assemblage of Boscovich atoms is in equilibrium. So, therefore, is every finite homogeneous assemblage, provided that extraneous forces be applied to all within influential distance of the frontier, equal to the forces which a homogeneous continuation of the assemblage through influential distance beyond the frontier would exert on them. The investigation of these extraneous forces for any given homogeneous assemblage of single atoms — or groups of atoms as explained...
Pāgina 638 - Ergebnisse der in dem Atlantischen Ocean von Mitte Juli bis Anfang November 1889 ausgefiihrten Plankton-Expedition der Humboldt Stiftung, Herausgegeben von Victor Hensen.
Pāgina 97 - D, are the eight corners of the hexahedron which we found by construction (1). A circumscribed hexahedron being thus given, the principal axes of the ellipsoid, and their orientation, are found by the solution of a cubic equation. § 6. Another way of finding the strain-ellipsoid, which is in some respects simpler, and which has the advantage that in its construction it does not take us outside the boundary of our * Thomson and Tait's Natural Philosophy, § 156 ; Elements, § 136.
Pāgina 27 - The difficulty, then, appears to be inherent and insoluble. There is no method known to physical science which enables it to renounce the assumption of the perfect elasticity of the particles whereof ponderable bodies and their hypothetical imponderable envelopes are said to be composed, however clearly this assumption conflicts with one of the essential requirements of the mechanical theory.
Pāgina 98 - K, this ellipsoid touches at its centre the fourth face of the tetrahedron ; and it is the strain ellipsoid for the homogeneous strain by which an equilateral tetrahedron of solid is altered to the figure ABCD. § 7. To bring our new method of specifying strain and stress into relation with the ordinary method for infinitesimal strains and the corresponding stresses : — Let X denote the length of each edge of the equilateral tetrahedron of reference, A0B0C0D0; and let h be the edge of the cube...
Pāgina 27 - ... we are forbidden by the modern physical theory of the conservation of energy to assume inelasticity, or anything short of perfect elasticity, in the ultimate molecules...

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