The First Six Books of the Elements of Euclid: With a Commentary and Geometrical Exercises

by Euclid

This book is a foundational work in the field of geometry written by the renowned mathematician Euclid over two thousand years ago. It presents a collection of propositions and theorems that form the basis of Euclidean geometry, which describes the properties and relationships of points, lines, angles, triangles, circles, and other geometric shapes. The propositions in the book are presented in a logical sequence, starting with basic definitions and postulates and progressing to more complex theorems. The propositions are demonstrated using deductive reasoning and geometric constructions, allowing readers to understand the underlying principles of geometry. The book is written in a clear and concise style, making it accessible to a wide range of readers. It has had a profound impact on the development of mathematics and continues to be an essential resource for students, mathematicians, and anyone interested in understanding the principles of geometry....

Genres: Mathematics, Science, Nonfiction, History, Classics, Ancient

352 pages, Hardcover

First published January 26, 2013

About the author

Euclid (Ancient Greek: Εὐκλείδης Eukleidēs -- "Good Glory", ca. 365-275 BC) also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Stoicheia (Elements) is a 13-volume exploration all corners of mathematics, based on the works of, inter alia, Aristotle, Eudoxus of Cnidus, Plato, Pythagoras. It is one of the most influential works in the history of mathematics, presenting the mathematical theorems and problems with great clarity, and showing their solutions concisely and logically. Thus, it came to serve as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor. He is sometimes credited with one original theory, a method of exhaustion through which the area of a circle and volume of a sphere can be calculated, but he left a much greater mark as a teacher.