The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines is a mathematical treatise written by the renowned physicist and mathematician, Sir Isaac Newton. Originally published in 1736, the book is a comprehensive guide to the calculus of fluxions and infinite series, and their application to the study of curve-lines in geometry.The book is divided into three parts. The first part introduces the reader to the fundamental principles of fluxions, including differentiation and integration. Newton provides a detailed explanation of the method of fluxions, which he developed as a way of calculating instantaneous rates of change. He also explores the concept of infinite series, which he uses to approximate complex mathematical functions.The second part of the book focuses on the application of fluxions and infinite series to the geometry of curve-lines. Newton demonstrates how these mathematical tools can be used to solve a variety of problems related to the curvature and tangents of curves. He also explores the properties of various types of curves, including parabolas, ellipses, and hyperbolas.The final part of the book is devoted to the application of fluxions and infinite series to the study of algebraic equations. Newton demonstrates how these tools can be used to solve equations of various degrees, including cubic and quartic equations.Overall, The Method of Fluxions and Infinite Series is a seminal work in the history of mathematics. It provides a comprehensive introduction to the calculus of fluxions and infinite series, and demonstrates their application to a wide range of mathematical problems. The book is an essential resource for anyone interested in the history of mathematics, the development of calculus, or the application of mathematical tools to real-world 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.