. Annals of Philosophy. 246 Rev. J. B. Emmett on the [April, teral triangles, in which equilibrium is preserved ; for since the particles are equal and similar, and a, b, mutually balance each other, b and c, c and a, are in equilibrio ; and if c be brought nearer to b or a, it is repelled (Prop. I.) ; if removed to a greater distance, it is attracted; therefore the triangles a b c, a c e, &c. will be equilateral. Q. E. D. Prop. III. Liquids will be expanded by heat and contracted by cold. It has been demonstrated in a former paper that by increasing the heat, the repulsive force of every


. Annals of Philosophy. 246 Rev. J. B. Emmett on the [April, teral triangles, in which equilibrium is preserved ; for since the particles are equal and similar, and a, b, mutually balance each other, b and c, c and a, are in equilibrio ; and if c be brought nearer to b or a, it is repelled (Prop. I.) ; if removed to a greater distance, it is attracted; therefore the triangles a b c, a c e, &c. will be equilateral. Q. E. D. Prop. III. Liquids will be expanded by heat and contracted by cold. It has been demonstrated in a former paper that by increasing the heat, the repulsive force of every calorific atmosphere is increased; and upon the surface of a particle of a liquid, it exceeds the force of attraction. Hence (Lemma 2), the distance of the point in which the forces are in equilibrio is increased; therefore the particles separate. Conversely, diminish the heat, and the particles approach, or, in other words, the volume con- tracts. Q. E. D. Prop. IV. Solids absorb heat during fusion. By Prop. 1, the particles separate during fusion ; hence the calorific atmospheres are enlarged, and particularly where they are most dense; therefore, caloric will be absorbed. D. Cor. 1.—Hence, during fusion, some bodies will absorb more heat than others. Cor. 2.—The proportionate quantities absorbed during the fusion of different solids are measured not by equal weights, but by weights which are proportional to the atomic weights. Cor. 3.—Hence solids fuse gradually, and the temperature remains constant during fusion. Cor. 4.—Hence the temperature of a solid cannot be elevated above a certain point. Cor. 5.—Hence the reason of the operation of that class of frigorific mixtures which depends upon the solution of crystals of saline matter. Prop. V. Some bodies expand, others contract, during Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustra


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