The Quadrature of the Circle is a mathematical treatise written by James Smith in 1865. The book aims to demonstrate the true ratio between the diameter and circumference of a circle, both geometrically and mathematically. Smith delves into the history of the problem, exploring the attempts made by mathematicians throughout the ages to solve it. He then presents his own solution, which he claims is the correct one. The book is written in a clear and concise style, making it accessible to both mathematicians and non-mathematicians alike. It is a valuable resource for anyone interested in the history of mathematics or the study of geometric problems.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.