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And perhaps, posterity will thank me for having shown it that the ancients did not know everything.
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I will share all of this with you whenever you wish.
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I am more exempt and more distant than any man in the world.
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Et cette proposition est généralement vraie en toutes progressions et en tous nombres premiers; de quoi je vous envoierois la démonstration, si je n'appréhendois d'être trop long.
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But it is impossible to divide a cube into two cubes, or a fourth power into fourth powers, or generally any power beyond the square into like powers; of this I have found a remarkable demonstration. This margin is too narrow to contain it.
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I have found a very great number of exceedingly beautiful theorems.
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Cuius rei demonstrationem mirabilem sane detexi hanc marginis exiguitas non caperet.
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It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.