Elements of Geometry: Containing the First Six Books of Euclid, With a Supplement on the Quadrature of the Circle, and the Geometry of Solids; To Which Are Added, Elements of Plane and Sphericale Trig - Hardcover

John Playfair

 
9780266597926: Elements of Geometry: Containing the First Six Books of Euclid, With a Supplement on the Quadrature of the Circle, and the Geometry of Solids; To Which Are Added, Elements of Plane and Sphericale Trig

Synopsis

This book establishes the foundations of geometry, a subject predating written language and central to human culture. The author organizes a sequence of propositions, beginning with elementary concepts and advancing to sophisticated theorems. The framework developed in this text has been central to the development of mathematics, and its applications have fostered scientific progress in countless fields. The text progresses systematically, demonstrating how complex ideas emerge from simple postulates through logical reasoning and careful deduction. By proceeding from definitions to axioms, postulates, and theorems, the author shows how results can be derived with absolute certainty from a handful of basic principles. This systematic approach has influenced the development of logic and analytical reasoning to the present day, and represents the culmination of centuries of mathematical thought.

"synopsis" may belong to another edition of this title.

Other Popular Editions of the Same Title