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Analytic Geometry as a book category covers the study of geometry using coordinate systems and algebraic methods—originating with Descartes’ introduction of coordinates—and includes topics such as equations of lines and conic sections, distance and angle formulas, vectors, parametric and polar representations, geometric transformations, loci, and the algebraic treatment of curves and surfaces. Books in this category range from introductory textbooks and problem collections for high school and undergraduate students to advanced monographs emphasizing rigorous proofs, vector and matrix methods, or applications in calculus, physics, engineering, computer graphics, and robotics. They typically focus on translating geometric problems into algebraic equations, developing solution techniques, and illustrating real-world modeling, making the subject a bridge between pure geometry and applied mathematics.

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