Elementary Synthetic Geometry: Of the Point, Line and Circle in the Plane (Classic Reprint) - Hardcover

N. F. Dupuis

9780484187039: Elementary Synthetic Geometry: Of the Point, Line and Circle in the Plane (Classic Reprint)

Hardcover

ISBN 10: 0484187031 ISBN 13: 9780484187039

Publisher: Forgotten Books, 2018

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A clear, student-friendly introduction to plane geometry

This volume presents geometry by treating the point, line, and circle as its essential elements, then builds toward modern ideas in a way that links to algebra and analytic thinking. It emphasizes definitions, constructions, and a careful distinction between figures that coincide in area and those that are congruent, setting up a solid foundation for later study.

The author’s approach blends constructive and descriptive methods, with attention to how geometric ideas can be written in symbols and formulas. It uses practical drawing instruments, introduces initial ideas of motion and continuity, and guides readers toward the wider world of analytic geometry without losing sight of elementary understanding.

Learn the basic elements of plane geometry and how to define figures from points, lines, and curves.
See how geometry connects with algebra through symbolic representations and interpretations.
Explore constructive techniques, including classical constructions and problem-solving strategies.
Follow a pathway from basic concepts to more advanced ideas like proportion, inversion, and pole and polar.

Ideal for readers beginning geometry or seeking a solid, traditionally grounded introduction that leads into analytic geometry and more modern topics.

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