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Updated: May 8, 2025
In many cases his procedure is, when the analytical equivalents are set down, seen to amount to real integration; this is so with his investigation of the areas of a parabolic segment and a spiral, the surface and volume of a sphere, and the volume of any segments of the conoids and spheroids.
Hence we may conclude that the basalt is contemporaneous with the upper parts of the great tertiary formation. The lava where first met with is 130 feet in thickness: it there consists of two, three, or perhaps more streams, divided from each other by vesicular spheroids like those on the surface.
He examines the trees; they are myrtles of various heights; but among their glossy branches, he in vain seeks traces of the pruning-knife or shears; nature alone has thus disposed in spheroids or umbels the extremities of this rich vegetation. The same disappointment awaits him in the underwood. The only pruners have been goats, or other animals, daintily cropping the green shoots.
Andrews' experiments imply that, supposing the temperature to be lowered to the point at which liquefaction becomes possible, then liquefaction will take place where there is first reached the required pressure. What are the corollaries in relation to concentrating nebulous spheroids?
Inquiring subsequently what might be the position and form of these spheroids in the crystal, I considered that all the six faces produced precisely the same refractions.
It will mean so much!" They were both silent for a time. Finally Miss Thorne walked over to the long table and curiously lifted one of the spheroids. It was a sinister looking thing, nickeled, glittering. At one end of it was a delicate, vibratory apparatus, not unlike the transmitter of a telephone, and the other end was threaded, as if the spheroid was made as an attachment to some other device.
Hence, the aggregation of a rotating nebulous spheroid will be more or less hindered by this resisting force, according as the rate of rotation is high or low: the opposition, in equal spheroids, being four times as great when the rotation is twice as rapid; nine times as great when it is three times as rapid; and so on.
The reason is that when broken in this fashion a whole layer separates easily from its neighbouring layer since each spheroid has to be detached only from the three spheroids of the next layer; of which three there is but one which touches it on its flattened surface, and the other two at the edges.
Since then the parallelogram Ki is that which touches all these spheroids, this same parallelogram will be precisely the continuation of the wave COoc in the crystal, when Oo has arrived at Kk, because it forms the termination of the movement and because of the quantity of movement which occurs more there than anywhere else: and thus it appears that the piece C of the wave COoc has its continuation at I; that is to say, that the ray RC is refracted as CI.
In order, then, that one of those spheroids might absorb all the others belonging to the same ring, it will be sufficient to assign to it a mass greater than that of any other spheroid.
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