Elements of Geometry: Plane and Solid (Classic Reprint)

John Macnie

ISBN 10: 1334014051 / ISBN 13: 9781334014055

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book presents logical reasoning with the precision of Euclid yet allows for modern improvements in notation and arrangement. It goes beyond the basics, guiding readers through hypotheticals and exercising their ability in logical deduction. The book aims not only to impart knowledge but also to develop the critical thinking skills needed for everyday reasoning. The author carefully builds a foundation of definitions, axioms, and postulates before progressing to propositions and theorems. These theorems are then used to cultivate deeper understanding through exercises that encourage readers to apply their learning. Delving into angle relationships, this book is a valuable resource for anyone seeking to strengthen their mathematical acumen. It offers a comprehensive exploration of perpendiculars, parallels, quadrilaterals, and more, providing a thorough grounding in the fundamentals of geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781334014055_0

Bibliographic Details

• Title: Elements of Geometry: Plane and Solid (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1334014051
• ISBN 13: 9781334014055
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Geometry

About this title

Synopsis

Explore the fundamentals of geometry through symmetry, shapes, and formulas that illuminate both plane and solid figures. This edition gathers key definitions, theorems, and practical methods from a classic text, focusing on how symmetry works in figures, polygons, and polyhedra, and how these ideas connect to measurements, areas, and volumes.

- Learn definitions and properties of symmetry with respect to centers, axes, and planes.
- See how equalities and parallels lead to centers of symmetry and predictable transformations.
- Understand numerical applications, including the area, altitude, medians, and radii of triangles, and constructions that make figures comparable or equivalent.
- Explore isoperimetric ideas, regular polygons, and polyhedral symmetry, with step-by-step constructions and corollaries.

Ideal for readers of geometry study guides, teachers preparing lessons, and anyone wanting a solid, historical approach to spatial reasoning and measurement.