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Updated: June 9, 2025
Assuming that the earth consists of materials symmetrically arranged in shells of varying densities, we may then, in calculating its attraction, regard the whole mass of the globe as concentrated at its centre. Similarly we may regard the moon as concentrated at the centre of its mass.
He accounts for the relation of the masses and the densities of the planets to their distances from the sun, for the eccentricities of their orbits, for their rotations, for their satellites, for the general agreement in the direction of rotation among the celestial bodies, for Saturn's ring, and for the zodiacal light.
The least parts of almost all natural bodies are in some measure transparent. Between the parts of opaque and coloured bodies are many spaces, or pores, either empty or filled with media of other densities. The parts of bodies and their interstices or pores must not be less than of some definite bigness to render them coloured.
That at first it was surrounded by gross vapors, which, cooling and condensing in process of time, constituted, according to their densities, earth, water, and air, which gradually arranged themselves, according to their respective gravities, round the burning or vitrified mass that formed their center.
Nor is the foghorn much better: the presence of different layers of fog and air, and their varying densities, which cause both reflection and refraction of sound, prevent the air from being a reliable medium for carrying it. Now, submarine signalling has none of these defects, for the medium is water, subject to no such variable conditions as the air.
But passing over other objections, this explanation is quite inadequate to account for the facts. Using the Earth as a standard of comparison, the relative densities run thus: Neptune. Uranus. Saturn. Jupiter. Mars. Earth. Venus. Mercury. Sun. 0·17 0·25 0·11 0·23 0·45 1·00 0·92 1·26 0·25 Two insurmountable objections are presented by this series.
The flowing of the gulf-stream and the annual migration of icebergs towards the equator, depending as they do on the balancing of the centripetal and centrifugal forces acting on the ocean, involve in their explanation the Earth's rotation and spheroidal form, the laws of hydrostatics, the relative densities of cold and warm water, and the doctrines of evaporation.
Gazing cautiously over the verge of the precipice, he saw the animal despite the gathering shadows. The horse was quite safe, having doubtless slipped down in the soft densities of a great drift dislodged from the crevice by his own weight. His pack was still on his back, now piled twice as high with snow.
If we must compare the eye to an optical instrument, we ought in imagination to take a thick layer of transparent tissue, with a nerve sensitive to light beneath, and then suppose every part of this layer to be continually changing slowly in density, so as to separate into layers of different densities and thicknesses, placed at different distances from each other, and with the surfaces of each layer slowly changing in form.
And hence it follows that the spheres, whether they are of uniform density or consist of concentric layers, with densities varying according to any law whatever, will act upon each other in the same manner as if their force resided in their centres alone.
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