The Works of Archimedes: Dover on Mathematics

Archimedes was one of the greatest mathematicians of all time. His work on geometry, mechanics, hydrostatics, and optics had a profound influence on the development of mathematics and science. The Works of Archimedes: Dover on Mathematics is a comprehensive collection of all of Archimedes' known works, making it an essential resource for anyone interested in the history of mathematics or in the work of Archimedes himself.

The Works of Archimedes (Dover Books on Mathematics)

by Archimedes

4.7 out of 5

Language	:	English
File size	:	20375 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Print length	:	576 pages
Lending	:	Enabled

FREE

The book is divided into four parts, each of which deals with a different aspect of Archimedes' work. Part one covers Archimedes' work on geometry, including his famous treatise on the Measurement of the Circle. Part two covers his work on mechanics, including his treatises on the Equilibrium of Planes and On Floating Bodies. Part three covers his work on hydrostatics, including his treatise on the Method of Mechanical Theorems. And part four covers his work on optics, including his treatise on Catoptrics.

The Works of Archimedes: Dover on Mathematics is a valuable resource for anyone interested in the history of mathematics or in the work of Archimedes himself. It is a comprehensive collection of all of Archimedes' known works, and it is written in a clear and accessible style. This book is a must-have for any library on the history of science.

Table of Contents

• Part One: Geometry
• Part Two: Mechanics
• Part Three: Hydrostatics
• Part Four: Optics

Part One: Geometry

Archimedes' work on geometry was groundbreaking. He developed new methods for calculating areas and volumes, and he proved a number of important theorems, including the Pythagorean theorem and the circle area formula. His work on geometry is still used today in a variety of fields, including engineering and architecture.

The Measurement of the Circle is one of Archimedes' most famous works. In this treatise, he proves that the area of a circle is equal to pi times the square of the radius. He also proves that the volume of a sphere is equal to four-thirds pi times the cube of the radius.

Part Two: Mechanics

Archimedes' work on mechanics was also groundbreaking. He developed the concept of the lever, and he used this concept to solve a number of important problems in mechanics. He also developed the concept of buoyancy, and he used this concept to explain why objects float.

The Equilibrium of Planes is one of Archimedes' most famous works on mechanics. In this treatise, he proves that the center of gravity of a plane figure is the same as the center of gravity of the figure's inscribed triangle.

Part Three: Hydrostatics

Archimedes' work on hydrostatics was also groundbreaking. He developed the concept of specific gravity, and he used this concept to explain why objects float or sink. He also developed the concept of fluid pressure, and he used this concept to explain a number of important phenomena, such as the behavior of water in pipes.

The Method of Mechanical Theorems is one of Archimedes' most famous works on hydrostatics. In this treatise, he develops a method for solving a variety of problems in hydrostatics. This method is still used today to solve problems in a variety of fields, including engineering and physics.

Part Four: Optics

Archimedes' work on optics was also groundbreaking. He developed the concept of reflection, and he used this concept to explain a number of important phenomena, such as the behavior of light in mirrors. He also developed the concept of refraction, and he used this concept to explain why objects appear to be bent when they are placed in water.

Catoptrics is one of Archimedes' most famous works on optics. In this treatise, he develops a theory of reflection. He also develops a number of practical applications of his theory, such as the design of mirrors and telescopes.

The Works of Archimedes: Dover on Mathematics is a valuable resource for anyone interested in the history of mathematics or in the work of Archimedes himself. It is a comprehensive collection of all of Archimedes' known works, and it is written in a clear and accessible style. This book is a must-have for any library on the history of science.

Free Download your copy today!