Essentials of Plane Geometry

'Essentials of Plane Geometry' is a fundamental exploration of the principles of Euclidean geometry, designed to provide a clear and logical introduction to the study of shapes, sizes, and the properties of space. Authored by the renowned mathematician and educator David Eugene Smith, this work emphasizes the pedagogical structure necessary for students to master the deductive reasoning required in mathematical proofs.The text covers a comprehensive range of topics, including the properties of triangles, polygons, and circles, as well as the measurement of angles and the concept of locus. Smith’s approach is noted for its clarity and precision, offering numerous exercises and theorems that guide the reader through the complexities of geometric relationships. By focusing on the essentials, the work strips away unnecessary complexities to reveal the elegant foundations of the discipline.As a significant contribution to mathematical pedagogy, 'Essentials of Plane Geometry' remains a valuable resource for those interested in the historical development of mathematics education and the timeless principles of plane figures. It serves as both a practical textbook and a testament to the rigorous standards of instruction that define the study of classical geometry.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.