Works of Archimedes

ISBN-10: 0486420841
ISBN-13: 9780486420844
Edition: 2002 (Unabridged)
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Description: Complete works of ancient geometer in highly accessible translation by distinguished scholar. Topics include 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,  More...

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Book details

List price: $24.95
Copyright year: 2002
Publisher: Dover Publications, Incorporated
Publication date: 4/16/2002
Binding: Paperback
Pages: 326
Size: 5.50" wide x 8.50" long x 1.00" tall
Weight: 1.298
Language: English

Complete works of ancient geometer in highly accessible translation by distinguished scholar. Topics include 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. Informative introduction and 52-page supplement.

Archimedes was a mathematician and inventor, born in Syracuse, Sicily, about 287 B.C. He became famous for his law of the lever and for inventing the catapult, parabolic mirror, and the mechanical crane that was capable of capsizing a ship by overturning it. These inventions were designed to defend Syracuse during the Second Punic War, which were waged between Rome and Carthage. While Archimedes made fundamental contributions to physics, his greatest contributions were to theoretical mathematics. Some of his works have come down to us. When Syracuse was taken in 212 B.C., Archimedes was killed by the Roman soldiers, being at the time intent upon a mathematical problem.

Introduction
Archimedes
Manuscripts and Principal Editions--Order of Composition--Dialect--Lost Works
Relation of Archimedes to His Predecessors
Use of traditional geometrical methods
Earlier discoveries affecting quadrature and cubature
Conic Sections
Surfaces of the second degree
Two mean proportionals in continued proportion
Arithmetic in Archimedes
Greek numeral system
Addition and subtraction
Multiplication
Division
Extraction of the square root
Early investigations of surds or incommensurables
Archimedes' approximations to [radical]3
Archimedes' approximations to the square roots of large numbers which are not complete squares
Note on alternative hypotheses with regard to the approximations to [radical]3
On the Problems Known As [characters not reproducible]
[characters not reproducible] referred to by Archimedes
Mechanical constructions: the conchoid of Nicomedes
Pappus' solution of the [characters not reproducible] referred to in Props. 8, 9 On Spirals
The problem of the two mean proportionals
The trisection of an angle
On certain plane [characters not reproducible]
Cubic Equations
Anticipations by Archimedes of the Integral Calculus
The Terminology of Archimedes
The Works of Archimedes
On the Sphere and Cylinder, Book I
On the Sphere and Cylinder, Book II
Measurement of a Circle
On Conoids and Spheroids
On Spirals
On the Equilibrium of Planes, Book I
On the Equilibrium of Planes, Book II
The Sand-Reckoner
Quadrature of the Parabola
On Floating Bodies, Book I
On Floating Bodies, Book II
Book of Lemmas
The Cattle-Problem
Supplement--the Method of Archimedes

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