Elements of the Geometry of Planes and Solids: With Four Plates (Classic Reprint) - Hardcover

F. R. Hassler

9780267800537: Elements of the Geometry of Planes and Solids: With Four Plates (Classic Reprint)

Hardcover

ISBN 10: 0267800533 ISBN 13: 9780267800537

Publisher: Forgotten Books, 2018

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Explore the foundations of geometry—from basic axioms to the precise logic used to measure planes and solids, with clear, structured guidance.

This classic work presents geometry as a complete, self-contained system. It starts from simple, undeniable principles and builds a full, exact framework for analyzing figures in two and three dimensions. The text emphasizes a careful, step-by-step approach: defining terms, proving results, and solving problems through clear constructions. It moves from Euclidean ideas to practical calculations, showing how to apply geometric reasoning to shape, size, and volume. Readers will find a strong focus on method, demonstration, and the relationship between theory and application, including the creation of solids and the use of plates to illustrate key concepts.

Foundational definitions and the nature of proofs in geometry
Structured development from theorems and problems to corollaries and scholia
Practical methods for comparing shapes, volumes, and surfaces
Worked examples that connect plane geometry to solid geometry

Ideal for students of mathematics, instructors seeking a rigorous reference, and readers who value a historically grounded approach to geometric reasoning.

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