This classic text introduces the algebraic methods behind geometric figures, guiding readers from the basics of Cartesian coordinates to the study of conic sections, polar coordinates, and three‑dimensional geometry. The material emphasizes practical problem solving, with worked examples and a steady progression from single variables to multi‑variable systems.

Designed for technical schools and colleges, the book blends theory with concrete techniques. It covers the foundations of coordinate systems, transformations, and the geometry of lines, circles, and polygons, then moves into polar equations, reciprocal figures, inversion, and the geometry of the conic and quadric surfaces. The discussion extends to three dimensions, offering a comprehensive view of space, lines, planes, and curved surfaces.

Foundational concepts: coordinates, planes, lines, and their algebraic representations
Polar and cylindrical coordinates, and the equations of circles, conics, and quadrics
Transformations and projective ideas, including reciprocal figures and inversion
Three‑dimensional analytic geometry: space coordinates, lines, planes, and surfaces

Ideal for readers seeking a solid, methodical grounding in analytic geometry and its applications to technical problem solving.

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