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Notice the entire omission of the borrowed cloak taken from his wife, Mulier, by Menaechmus and given to the Courtisan, Erotium; also, of the character of the parasite, Peniculus, by means of whom as a spiteful informer the wife is told of her husband's relations with Erotium and the dinner he proposes to take with her.
Menaechmus, a pupil of Eudoxus, was the discoverer of the conic sections, two of which, the parabola and the hyperbola, he used for solving the problem of the two mean proportionals. If a:x=x:y=y:b, then x²=ay, y²=bx and xy=ab.
These equations represent, in Cartesian co-ordinates, and with rectangular axes, the conics by the intersection of which two and two Menaechmus solved the problem; in the case of the rectangular hyperbola it was the asymptote-property which he used. We pass to Euclid's times.
And therefore Plato himself dislikes Eudoxus, Archytas, and Menaechmus for endeavoring to bring down the doubling the cube to mechanical operations; for by this means all that was good in geometry would be lost and corrupted, it falling back again to sensible things, and not rising upward and considering immaterial and immortal images, in which God being versed is always God.
Success; that is the lesson which falls drop by drop from the slope of corruption. Be it said in passing, that success is a very hideous thing. Its false resemblance to merit deceives men. For the masses, success has almost the same profile as supremacy. Success, that Menaechmus of talent, has one dupe, history. Juvenal and Tacitus alone grumble at it.
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