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He had thus gained that fixed footing outside the earth which Archimedes had demanded to enable him to move it; and he should soon be able to exert his power over departed souls, whose nature he now understood as well as ay, and better than Serapion.

Syracuse in the south was besieged by Appius Claudius by land and by Marcellus by sea, and its defence is one of the most famous in history. The Greek engineer, Archimedes, invented all sorts of strange devices new to the ancient world. He made narrow slits in the walls, and behind them he placed archers who could shoot through with deadly aim, while they themselves were untouched.

From the particular case of the scales, the law of equilibrium of which was familiar to the earliest nations known, Archimedes advanced to the more general case of the unequal lever with unequal weights; the law of equilibrium of which includes that of the scales.

The Platonicus of Eratosthenes evidently dealt with the fundamental notions of mathematics in connexion with Plato's philosophy, and seems to have begun with the story of the origin of the duplication problem. The most famous achievement of Eratosthenes was his measurement of the earth. Archimedes quotes an earlier measurement which made the circumference of the earth 300,000 stades.

We cannot hear, without an instinctive glow, of the cities of Rome, Athens, Sparta, Syracuse, and others which respectively produced a Cæsar, a Demosthenes, a Lycurgus, and an Archimedes; of the islands of Samos and Ægina, whence emanated the resplendent genius of a Pythagoras and a Plato; of the villages of Alopece and Andes, immortalized as having produced a Socrates and a Virgil.

Perhaps a greater even than Euclid was Archimedes, born 287 B.C. He wrote on the sphere and cylinder, terminating in the discovery that the solidity and surface of a sphere are two thirds respectively of the solidity and surface of the circumscribing cylinder. He also wrote on conoids and spheroids.

Her hull was well on the way to completion when her designer chanced to see the "Archimedes," the first screw steamer built, and straightway changed his plans to admit the use of the new method of propulsion So from 1842 may be dated the use of both screw propellers and iron ships.

About that time the substitution of the Screw for the paddle-wheel as a means of propulsion was attracting much attention. The performances of the Archimedes, as arranged by Mr. Francis P. Smith, were so satisfactory that Mr. Brunel, after he had made an excursion in that vessel, recommended the directors to adopt the new propelling power.

Don't talk to me of your Archimedes' lever. He was an absent-minded person with a mathematical imagination. Mathematics commands all my respect, but I have no use for engines. Give me the right word and the right accent and I will move the world. What a dream for a writer! Because written words have their accent, too. Yes! Let me only find the right word!

Anita and I found ourselves exhausted from lack of sleep, our arduous climb of Archimedes and that tense time on the brigand ship. On the flight back, Snap had explained how the landing of the ship on Archimedes was observed through the Grantline telescope. They had read with amazement my signals to the brigands. Snap had rushed to completion the first of our flying platforms.