On the Philosophy of Discovery, Chapters Historical And Critical;

Cover On the Philosophy of Discovery, Chapters Historical And Critical;
On the Philosophy of Discovery, Chapters Historical And Critical;
William Whewell
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There were three things in particular of which I pertina- ciously sought the causes; why they are not other than they are: the number, the size, and the motion of the orbits." We see how strongly he had his mind impressed with the same thought which Plato had so confidently attered : that there mast be some reason for those proportions in the scheme of the Universe which appear casnal and vague. He was confident at this period that he had solved two of the three questions which haunted him ; — ...that he could account for the number and the sise of the planetary ortrits.
His account was given in this way. — ^'The orbit of the Earth is a circle; round the sphere to which this circle belongs describe a dodecahedron ; the sphere including this will give the orbit of Mars. Bound Mars inscribe a tetnhedron; the drde including this will be the orbit of Jupiter. Describe a cube round Jupiter's orbit; the circle including this will be the orbit of Saturn. Now inscribe in the Earth's orbit an icosahedron : the circle inscribed in it will be the orbit of Yenns.


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