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Archytas therefore sent Archedemus, and Dionysius some galleys, with divers friends, to entreat his return; moreover, he wrote to him himself expressly and in plain terms, that Dion must never look for any favor or kindness, if Plato would not be prevailed with to come into Sicily; but if Plato did come, Dion should be assured of whatever he desired.
It is not the bigness of anything in this kind that can hinder its motion if the motive faculty be answerable "hereunto. We see that; great ship swims as well as a small cork, and an eagle flies in the air as well as a little gnat. This engine may be contrived from the same principles by which Archytas made a wooden dove, and Regiomontanus a wooden eagle.
Such men, however, are rarely found, but there have been such at times; for example, Aristarchus of Samos, Philolaus and Archytas of Tarentum, Apollonius of Perga, Eratosthenes of Cyrene, and among Syracusans Archimedes and Scopinas, who through mathematics and natural philosophy discovered, expounded, and left to posterity many things in connexion with mechanics and with sundials.
Eudoxus and Archytas were the first who began to treat of this renowned science of mechanics, cleverly illustrating it, and proving such problems as were hard to understand, by means of solid and actual instruments, as, for instance, both of them resorted to mechanical means to find a mean proportional, which is necessary for the solution of many other geometrical questions.
Who would not lose in his loneliness the zest for all pleasures? And indeed this is the point of the observation of, I think, Archytas of Tarentum. I have it third hand; men who were my seniors told me that their seniors had told them.
ARCHYTAS. A bright ring-plain, 21 miles in diameter, on the edge of the Mare Frigoris, due N. of the Alpine Valley, with regular walls rising about 5000 feet above the interior on the N.W., and about 4000 feet on the opposite side. It has a very bright central mountain.
But the expression of cooling implies, certainly, that there was a heat raised in their minds in opposition to reason; from which consideration that saying of Archytas is commended, who being somewhat provoked at his steward, "How would I have treated you," said he, "if I had not been in a passion?" XXXVII. Where, then, are they who say that anger has its use? Can madness be of any use?
For listen, most excellent young men, to the ancient speech of Archytas of Tarentum, a man eminently great and illustrious, which was reported to me when I, a young man, was at Tarentum with Quintus Maximus.
That is true then which, if I remember aright, our elders used to say that they had heard from their seniors in age as having come from Archytas of Tarentum "If one had ascended to heaven and had obtained a full view of the nature of the universe and the beauty of the stars, yet his admiration would be without delight, if there were no one to whom he could tell what he had seen" Thus Nature has no love for solitude, and always leans as it were, on some support, and the sweetest support is found in the most intimate friendship.
Eudoxus and Archytas had been the first originators of this far-famed and highly prized art of mechanics, which they employed as an elegant illustration of geometrical truths, and as a means of sustaining experimentally, to the satisfaction of the senses, conclusions too intricate for proof by words and diagrams.
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