Publisher's Synopsis
The Elements of Euclid: With Select Theorems Out of Archimedes is a book written by Euclid and originally published in 1727. It is a comprehensive mathematical treatise on geometry that consists of thirteen books, each of which covers a specific topic in geometry. The book is based on the works of previous mathematicians, including Pythagoras, Eudoxus, and Theaetetus, and contains a wealth of geometric proofs and theorems.The book begins with definitions and axioms that form the basis of Euclidean geometry. It then proceeds to cover topics such as lines, angles, triangles, circles, and polygons, as well as more advanced topics such as conic sections and solid geometry. Each book is organized into propositions, which are statements that must be proven using previously established definitions and axioms.In addition to Euclid's own work, the book includes select theorems from Archimedes, another famous ancient Greek mathematician. These theorems provide additional insight into the principles of geometry and demonstrate the application of Euclidean geometry to real-world problems.Overall, The Elements of Euclid is a seminal work in the field of mathematics and has had a profound impact on the development of geometry and other branches of mathematics. It is still widely studied and used today, both as a historical document and as a source of mathematical knowledge and inspiration.To Which Are Added, Practical Corollaries, Showing The Uses Of Many Of The Propositions.This scarce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.