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The first has on one side the bust of that great man, with his name, HUGO GROTIUS, which is to him instead of an elogium: and on the other a chest, on which are the arms of Sweden and France, to express his retreat into France, and his embassy from Sweden at that Court: at the side of the chest is the castle of Louvestein, and opposite to it a rising sun, with these words: MELIOR POST ASPERA FATA RESURGO; I rise brighter after my misfortune.
An inscription proclaimed, 'Eadem mutata resurgo: I rise again like unto myself. Geometry would find it difficult to better this splendid flight of fancy towards the great problem of the hereafter. There is another geometrical epitaph no less famous.
This curve possesses the property of reproducing itself in a variety of curious and interesting ways; for which reason Bernouilli wished it inscribed upon his tomb, with the motto, Eadem mutata resurgo. Shall we wisely shake our heads at all this, as unavailing? Can we not see the hand of Providence, all through history, leading men wiselier than they knew?
Its extremity will not leave the plane and will describe a logarithmic spiral within it. It is, in a more complicated degree, a variant of Bernouilli's 'Eadem mutata resurgo: the logarithmic conic curve becomes a logarithmic plane curve.
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