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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.
Besides that, it is not unknown to you, who have had many more experiments thereof than I, how oftentimes, in judicial proceedings, the formalities utterly destroy the materialities and substances of the causes and matters agitated; for Forma mutata, mutatur substantia. ff. ad exhib. l. Julianus. ff. ad leg. Fal. l. si is qui quadraginta.
And now today I saw, as I was riding along the Pilgrim's Way across the Downs, a shepherdess. Alas! quantum mutata ab ilia. Even when I saw her, a long distance off, leaning on her crook, I did not desire to: "Assume her homely ways and dress, A shepherd, she a shepherdess." Still less, when I rode up closer, did I entertain any romantic ideas.
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.
Novimus quanta lepore descripserit colloquia illa antemeridiana, symposia illa sobria et severa, sed eadem festiva et faceta, in quibus totiens mutata persona, modo poeta, modo professor, modo princeps et arbiter, loquendi, inter convivas suos regnat."
Novimus quanta lepore descripserit colloquia illa antemeridiana, symposia illa sobria et severa, sed eadem festiva et faceta, in quibus totiens mutata persona, modo poeta, modo professor, modo princeps et arbiter, loquendi, inter convivas suos regnat."
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