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But the shadow of the troubles in his household interfered with his comfort here also; he could not, as formerly, settle down into his favourite chair with the evening paper, reposeful in the celibate's sense that where he was his world's centre had its fixture. His world was now an ellipse, with a dual centrality, of which his own was not the major.
Let there be such a ray RC falling upon the surface CK. Make CO perpendicular to RC, and across the angle KCO adjust OK, equal to N and perpendicular to CO; then draw KI, which touches the Ellipse GSP, and from the point of contact I join IC, which will be the required refraction of the ray RC. The demonstration of this is, it will be seen, entirely similar to that of which we made use in explaining ordinary refraction.
Our conception of ultimate matter is reduced to that of an oblate spheroid described by the revolution of an ellipse on its own minor axis!" "Good heavens!" we said. "Merely that." "Nothing else. And in that case any further calculation becomes a mere matter of the extraction of a root." "How simple," we murmured. "Is it not," said the Professor.
The earth's orbit, or the path described by it in its annual revolution about the sun, is, so to speak, a flattened circle, somewhat elongated, called an ellipse.
Once we go into a braking ellipse, we can reach a hospital in less than an hour by snapper-boat." "Let him go," MacFife said. The doctor wasn’t happy about it, but he had run out of arguments. "All right, Commander. If you’ll assume responsibility for getting him off the asteroid and into a Terra or space platform hospital in time." "I’ll do that," MacFife assured him.
The typical cometary orbit, apart from disturbance, is parabolic that is to say, it is indistinguishable from an enormously long ellipse. But this circumstance could only be reconciled with the view that the bodies thus moving were casual visitors from outer space, by making, as Laplace did, the tacit assumption that the solar system was at rest.
The ruins which at present occupy this remarkable site consist of a strong wall, guarded by numerous bastions and pierced by four gateways, which runs round the brow of the hill in a slightly irregular ellipse, of some interesting remains of buildings within this walled space, and of a few insignificant traces of inferior edifices on the slope between the plain and the summit.
This she certainly was, judged by the standard of other children; but then no softening influences had been at work during her tenderest years. Aunt Malvina knew as much about sympathy as she did about the properties of an ellipse; and even the fairies had failed to win little Bernardine.
But the minor diameter of this Ellipse, Gg, will bear to Qq the proportion which has been defined previously, Article 27, between CG and the major semi-diameter of the spheroid, CP, namely, that of 98,779 to 105,032.
When Kepler, after vainly endeavoring to connect the observed places of a planet by various hypotheses of circular motion, at last tried the hypotheses of an ellipse and found it answer to the phenomena; what he really attempted, first unsuccessfully and at last successfully, was to discover the circumstance in which all the observed positions of the planet agreed.
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