The Quadrature And Geometry Of The Circle Demonstrated

The book ""The Quadrature And Geometry Of The Circle Demonstrated"" by James Smith is a mathematical treatise that explores the problem of squaring the circle, which is the challenge of constructing a square with the same area as a given circle using only a compass and straightedge. The book delves into the history of the problem, its significance in mathematics, and the various attempts made by mathematicians throughout history to solve it. Smith presents his own solution to the problem, which involves the use of a new method that he calls ""the method of limits."" He also discusses the related problem of finding the circumference of a circle, which is also a challenge that has fascinated mathematicians for centuries. The book is written in a clear and accessible style, with numerous diagrams and examples to help readers understand the concepts and techniques involved. It is an important work in the history of mathematics and a valuable resource for anyone interested in geometry or the history of science.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.