Elliptic Integral is a mathematical book written by Hancock and Harris and first published in 1917. The book is focused on the study of elliptic integrals, a type of mathematical function that arises in the study of elliptic curves and other geometric objects. The book begins with an introduction to the basic concepts of elliptic integrals, including the definition of the elliptic integral and its properties. The authors then proceed to discuss the various methods used for the evaluation of the integrals, including the use of elliptic functions, the use of series expansions, and the use of numerical methods. The book also includes a detailed discussion on the applications of elliptic integrals in various fields, including physics, engineering, and mathematics. This book is a valuable resource for mathematicians, physicists, and engineers interested in the study of elliptic integrals and their applications.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.