**Franklin Library Archimedes books**

Works of Archimedes, Apollonius, Euclid and Nicomachus - Great Books of the Western World - 1985

## Who was Archimedes?

Archimedes
of Syracuse (Greek: Ἀρχιμήδης; c. 287 BC – c. 212 BC) was a Greek
mathematician, physicist, engineer, inventor, and astronomer. Although a
few details of his life are known, he is regarded as one of the leading
scientists in classical antiquity. Among his advances in physics are
the foundations of hydrostatics, statics and an explanation of the
principle of the lever. He is credited with designing innovative
machines, including siege machines and the screw pump that bears his
name. Modern experiments have tested claims that Archimedes designed
machines capable of lifting attacking ships out of the water and setting
ships on fire using an array of mirrors.

Archimedes is generally
considered to be the greatest mathematician of antiquity and one of the
greatest of all time. He used the method of exhaustion to calculate the
area under the arc of a parabola with the summation of an infinite
series, and gave a remarkably accurate approximation of pi. He also
defined the spiral bearing his name, formulae for the volumes of
surfaces of revolution and an ingenious system for expressing very large
numbers.

## How did Archimedes die?

Archimedes died during the Siege of Syracuse when he
was killed by a Roman soldier despite orders that he should not be
harmed. Cicero describes visiting the tomb of Archimedes, which was
surmounted by a sphere inscribed within a cylinder. Archimedes had
proven that the sphere has two thirds of the volume and surface area of
the cylinder (including the bases of the latter), and regarded this as
the greatest of his mathematical achievements.

Unlike his
inventions, the mathematical writings of Archimedes were little known in
antiquity. Mathematicians from Alexandria read and quoted him, but the
first comprehensive compilation was not made until c. 530 AD by Isidore
of Miletus, while commentaries on the works of Archimedes written by
Eutocius in the sixth century AD opened them to wider readership for the
first time. The relatively few copies of Archimedes' written work that
survived through the Middle Ages were an influential source of ideas for
scientists during the Renaissance, while the discovery in 1906 of
previously unknown works by Archimedes in the Archimedes Palimpsest has
provided new insights into how he obtained mathematical results.

The
complete works of antiquity's great geometer appear here in a highly
accessible English translation by a distinguished scholar. Remarkable
for his range of thought and his mastery of treatment, Archimedes
addressed such topics as the famous problems of the ratio of the areas
of a cylinder and an inscribed sphere; the measurement of a circle; the
properties of conoids, spheroids, and spirals; and the quadrature of the
parabola. This edition offers an informative introduction with many
valuable insights into the ancient mathematician's life and thought as
well as the views of his contemporaries. Modern mathematicians,
physicists, science historians, and logicians will find this volume a
source of timeless fascination.

## Archimedes quotes

"Give me a lever long enough and a fulcrum on which to place it, and I shall move the world."

"Eureka!"

"The shortest distance between two points is a straight line."

"Do not disturb my circles!"

"The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. To be sure, his art originated in the necessity for clothing such creatures, but this was long ago; to this day a shape will occasionally appear which will fit into the garment as if the garment had been made for it. Then there is no end of surprise and delight."

"Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that it will displace a weight of the fluid equal to its own weight."

"Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty."

"There are things which seem incredible to most men who have not studied mathematics."

"The good thing about science is that it's true whether or not you believe in it."

"In the absence of any other proof, the thumb alone would convince me of God's existence."

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