Elements of Analytic Geometry (Classic Reprint) - Hardcover

Simon Newcomb

9780267969265: Elements of Analytic Geometry (Classic Reprint)

Hardcover

ISBN 10: 0267969260 ISBN 13: 9780267969265

Publisher: Forgotten Books, 2018

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Explore Elements of Analytic Geometry and see how position can be defined by algebraic quantities, turning abstract points into concrete problems you can solve.

This edition builds a clear, practical path from basic ideas to the language of coordinates, equations, and functions. It introduces constants, variables, and how algebra describes relationships between quantities, all with simple examples and step-by-step reasoning.

It covers a wide range of topics—plane analytic geometry, the use of coordinates, and the study of lines, circles, and conics. It then extends to three dimensions and introduces modern ideas that connect geometry with algebra, such as duality and trilinear coordinates. The book emphasizes how different forms of the same problem relate and how to move between them.

Foundational concepts: constants, variables, functions, and the meaning of equations and identities.
Coordinate geometry: lines, circles, parabolas, ellipses, and hyperbolas, along with transformations and intersections.
Three-dimensional geometry and early modern ideas, including duality and trilinear coordinates.

Ideal for students seeking a solid, structured introduction to analytic geometry and its applications in problem solving.

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