# Archimedes

Archimedes (ärkĬmē´dēz), 287–212 BC, Greek mathematician, physicist, and inventor. He is famous for his work in geometry (on the circle, sphere, cylinder, and parabola), physics, mechanics, and hydrostatics. He lived most of his life in his native Syracuse, where he was on intimate terms with the royal family. Few facts of his life are known, but tradition has made at least two stories famous. In one story, he was asked by Hiero II to determine whether a crown was pure gold or was alloyed with silver. Archimedes was perplexed, until one day, observing the overflow of water in his bath, he suddenly realized that since gold is more dense (i.e., has more weight per volume) than silver, a given weight of gold represents a smaller volume than an equal weight of silver and that a given weight of gold would therefore displace less water than an equal weight of silver. Delighted at his discovery, he ran home without his clothes, shouting "Eureka," which means "I have found it." He found that Hiero's crown displaced more water than an equal weight of gold, thus showing that the crown had been alloyed with silver (or another metal less dense than gold). In the other story he is said to have told Hiero, in illustration of the principle of the lever, "Give me a place to stand, and I will move the world." He invented machines of war (Second Punic War) so ingenious that the besieging armies of Marcus Claudius Marcellus were held off from Syracuse for three years. When the city was taken, the general gave orders to spare the scientist, but Archimedes was killed. Nine of Archimedes' treatises, which demonstrate his discoveries in mathematics and in floating bodies, are extant. They are On the Sphere and Cylinder,On the Measurement of the Circle,On the Equilibrium of Planes,On Conoids and Spheroids,On Spirals,On the Quadrature of the Parabola,Arenarius [or sand-reckoner], On Floating Bodies, and On the Method of Mechanical Theorems. Archimedes' many contributions to mathematics and mechanics include calculating the value of π, devising a mathematical exponential system to express extremely large numbers (he said he could numerically represent the grains of sand that would be needed to fill the universe), developing Archimedes' principle, and inventing Archimedes' screw.

See studies by T. L. Heath (1953) and E. J. Dijksterhuis (1956).

## Archimedes: Selected full-text books and articles

The Great Mathematicians By Herbert Westren Turnbull New York University Press, 1961
Librarian's tip: Chap. III "Alexandria: Euclid, Archimedes, and Apollonius"
The Infinite in the Finite By Alistair Macintosh Wilson Oxford University Press, 1995
Librarian's tip: Chap. 13 "The Divine Archimedes"
Studies in the History and Methods of the Sciences By Arthur David Ritchie University Press, 1958
Librarian's tip: Chap. 6 "Elements of Experimental Physics: Archimedes"
FREE! A History of Science: In Five Volumes By Henry Smith Williams; Edward H. Williams Harper, vol.1, 1904
Librarian's tip: "Archimedes of Syracuse and the Foundation of Mechanics" begins on p. 196
A Short History of Science to the Nineteenth Century By Charles Singer The Clarendon Press, 1941
Librarian's tip: "Archimedes. Rise of Mechanics" begins on p. 63
The Continuous and the Discrete: Ancient Physical Theories from a Contemporary Perspective By Michael J. White Oxford University Press, 1992
Librarian's tip: Discussion of Archimedes begins on p. 137
Great Men of Science: A History of Scientific Progress By Philipp Lenard; H. Stafford Hatfield Macmillan, 1933
Librarian's tip: "Archimedes" begins on p. 2
Ancient Mathematics By S. Cuomo Routledge, 2001
Librarian's tip: Discussion of Archimedes begins on p. 50
The Rise of Modern Physics: A Popular Sketch By Henry Crew The Williams & Wilkins Company, 1928
Librarian's tip: "Archimedes" begins on p. 23
Ptolemaic Alexandria By P. M. Fraser Clarendon Press, 1972
Librarian's tip: Discussion of Archimedes begins on p. 390
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