The works of Archimedes /

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 parabol...

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Bibliographic Details
Main Author:	Archimedes (Author)
Other Authors:	Heath, Thomas Little, Sir, 1861-1940
Format:	Book
Language:	English
Published:	Mineola, N.Y. : Dover Publications, 2002.
Subjects:	Mathematics, Greek. Geometry > Early works to 1800. Mechanics > Early works to 1800. Géométrie > Ouvrages avant 1800. Mathématiques grecques. Mécanique > Ouvrages avant 1800. Geometry. Mechanics. Early works.
Online Access:	Publisher description

Table of Contents:

Chapter I. Archimedes
Chapter II. Manuscripts and Principal Editions
Order of Composition
Dialect
Lost Works
Chapter III. Relation of Archimedes to His Predecessors
1. Use of traditional geometrical methods
2. Earlier discoveries affecting quadrature and cubature
3. Conic Sections
4. Surfaces of the second degree
5. Two mean proportionals in continued proportion
Chapter IV. Arithmetic in Archimedes
1. Greek numeral system
2. Addition and subtraction
3. Multiplication
4. Division
5. Extraction of the square root
6. Early investigations of surds or incommensurables
7. Archimedes' approximations to [radical]3
8. 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
Chapter V. On the Problems Known As [characters not reproducible]
1. [characters not reproducible] referred to by Archimedes
2. Mechanical constructions: the conchoid of Nicomedes
3. Pappus' solution of the [characters not reproducible] referred to in Props. 8, 9 On Spirals
4. The problem of the two mean proportionals
5. The trisection of an angle
6. On certain plane [characters not reproducible]
Chapter VI. Cubic Equations
Chapter VII. Anticipations by Archimedes of the Integral Calculus
Chapter VIII. 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.