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appearance, and in all consideration of his character, had less justice done him by historians than any other man of his time. His popular humanity, his military and political skills, his prudence (which he sometimes unfortunately gave up), his natural bravery and generosity, his conjugal virtues, which (though sometimes impeached) were both naturally and morally great; his cause, which was certainly, in its original interests, the cause of Rome; all these circumstances entitled him to a more distinguished and more respectable character than any of his historians have thought proper to afford him.) THE ENGINES OF ARCHIMEDES FROM THE LIFE OF MARCELLUS Marcellus now moved with his whole army to Syracuse, and, camping near the wall, proceeded to attack the city both by land and by sea. The land forces were conducted by Appius: Marcellus, with sixty galleys, each with five rows of oars, furnished with all sorts of arms and missiles, and a huge bridge of planks laid upon eight ships chained together, upon which was carried the engine to cast stones and darts, assaulted the walls, relying on the abundance and magnificence of his preparations, and on his own previous glory; all which, however, were, it would seem, but trifles for Archimedes and his machines. These machines he had designed and contrived, not as matters of any importance, but as mere amusements in geometry; in compliance with King Hiero's desire and request, some little time before, that he should reduce to practice some part of his admirable speculations in science, and by accommodating the theoretical truth to sensation and ordinary use, bring it more within the appreciation of people in general. Eudoxus and Archytas had been the 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. As, for example, to solve the problem, so often required in constructing geometrical figures, given the two extreme, to find the two mean lines of a proportion, both these mathematicians had recourse to the aid of instruments, adapting to their purpose certain curves and sections of lines. (The 'mesolabes or mesalabium, was the name by which this instrument was commonly known.) But what with Plato's indignation at it, and his invectives against it as the
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