New Elements of Conic Sections: Together with a Method for Their Description on a Plane is a mathematical treatise written by Philippe De La Hire and published in 1729. The book presents a comprehensive study of conic sections, including ellipses, hyperbolas, and parabolas, and their properties. De La Hire introduces a new method for describing these curves on a plane, which he claims is simpler and more intuitive than previous methods. The book includes numerous diagrams and equations to aid in understanding the concepts presented. This work is considered a significant contribution to the field of mathematics and has been influential in the development of modern 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.