There have been only three epoch-making mathematicians: **Archimedes**, Newton, and Eisenstein.

— Carl Friedrich Gauss, as quoted in

Bradman is a whole class above any batsman who has ever lived: if **Archimedes**, Newton and Gauss remain in the Hobbs class, I have to admit the possibility of a class above them, which I find difficult to imagine. They had better be moved from now on into the Bradman class.

— Quoted by C. P. Snow in his introduction to reprints of the book.

O vanity! you are the lever by means of which **Archimedes** wished to lift the earth!

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About **Archimedes** one remembers that he did strange things: he ran around naked shouting Heureka!, plunged crowns into water, drew geometric figures as he was about to be killed, and so on. … One ends up forgetting he was a scientist of whom we still have many writings.

— 1.1, "The Erasure of the Scientific Revolution", p. 6

And **Archimedes**, as he was washing, thought of a manner of computing the proportion of gold in King Hiero's crown by seeing the water flowing over the bathing-stool. He leaped up as one possessed or inspired, crying, "I have found it! Eureka!"

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Philosophy treats of physics where a more careful knowledge is required because the problems which come under this head are numerous... So the reader of Ctesibius or **Archimedes** and the other writers of treatises of the same class will not be able to appreciate them unless he has been trained in these subjects by the philosophers.

— Chapter I, Sec. 7

Histories of scientific thought tend to obscure the revolutionary state of knowledge in the age of **Archimedes** the Hellenistic period toning down the differences between it, the natural philosophy of classical Greece two centuries earlier, and even the prescientific knowledge of ancient Egypt and Mesopotamia .

— Lucio Russo, "The Erasure of the Scientific Revolution" in

**Archimedes** studied also the ellipse and accomplished its quadrature, but to the hyperbola he seems to have paid less attention. It is believed that he wrote a book on conic sections.

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O vanity! you are the lever by means of which **Archimedes** wished to lift the earth!

— Mikhail Lermontov,

**Archimedes** will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean.

— G. H. Hardy, A Mathematician's Apology (London 1941).Quotations by Hardy. Gap.dcs.st-and.ac.uk. Retrieved on 27 November 2013.

The absolute scholar is in fact a rather uncanny being. He is instinct with Nietzsche's finding that to be interested in something, to be totally interested in it, is a libidinal thrust more powerful than love or hatred, more tenacious than faith or friendship — not infrequently, indeed, more compelling than personal life itself. **Archimedes** does not flee from his killers, he does not even turn his head to acknowledge their rush into his garden when he is immersed in the algebra of conic sections.

— "The Cleric of Treason"