The Elements of Analytical Geometry (Classic Reprint) - Hardcover

Elias Loomis

9780483657458: The Elements of Analytical Geometry (Classic Reprint)

Hardcover

ISBN 10: 048365745X ISBN 13: 9780483657458

Publisher: Forgotten Books, 2018

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From US$ 43.31

Explore the geometry that underpins curves, shapes, and the science of measurement.

This edition presents clear explanations of key topics such as the ellipse, circle, and hyperbola, plus practical methods for constructing and analyzing these curves. Through step-by-step reasoning and worked examples, it shows how numeric relationships translate into geometric form, with concrete figures illustrating the ideas.

The book guides you from basic definitions to the mechanics of curves, offering approachable descriptions of how the areas of conic sections relate to circles and rectangles, and how to derive equations from geometric conditions. You’ll see how a straightedge and string can describe a hyperbola, and how to frame problems with coordinates, axes, and foci. The included exercises reinforce understanding and help you apply the concepts to varied problems in plane geometry.
What you’ll experience

Accessible explanations of conic sections, their properties, and their equations
Worked derivations linking geometric figures to algebraic forms
Visual descriptions of curves and their intersections with axes
Practical exercises and examples that connect theory to real-world problems

Ideal for students and readers seeking a solid, plain-spoken grounding in analytic geometry and its classical results, with emphasis on the relationships between shape, area, and coordinates.

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