The Quadrature And Geometry Of The Circle Demonstrated

The book ""The Quadrature And Geometry Of The Circle Demonstrated"" by James Smith is a comprehensive study of the mathematical concepts of quadrature and geometry of the circle. The author provides a detailed explanation of the methods used to calculate the area of a circle and the construction of a square with the same area. The book includes various geometric proofs and diagrams to illustrate the concepts.The author starts by discussing the history of the problem of quadrature and the various attempts made by mathematicians to solve it. He then goes on to explain the method of exhaustion, which was used by ancient Greek mathematicians to calculate the area of a circle. The book also covers the work of Archimedes, who used a similar method to calculate the value of pi.The author then moves on to the modern methods of calculating the area of a circle, including the use of calculus. He also discusses the concept of the transcendental number pi and its significance in mathematics.In addition to the geometry of the circle, the book also covers other topics such as the construction of regular polygons and the calculation of their areas. The author provides step-by-step instructions and diagrams for constructing polygons with any number of sides.Overall, ""The Quadrature And Geometry Of The Circle Demonstrated"" is a comprehensive and well-written book that provides a thorough understanding of the mathematical concepts of quadrature and geometry of the circle. It is an essential read for anyone interested in mathematics or geometry.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.