Elements of Analytical Geometry (Classic Reprint): Embracing the Equations of the Point, the Straight Line, the Conic Sections, and Surfaces of the First and Second Order - Softcover

Charles Davies

 
9781330333211: Elements of Analytical Geometry (Classic Reprint): Embracing the Equations of the Point, the Straight Line, the Conic Sections, and Surfaces of the First and Second Order

Synopsis

A clear, time-tested guide to analytic geometry using algebraic symbols. This classic text shows how geometric ideas—lines, circles, conic sections, and surfaces—can be modeled with equations and solved with algebra. It blends foundational concepts with practical problem solving, making a complex subject approachable.


Originally prepared for the math courses of a leading military academy, the book presents methodical definitions, step-by-step solution techniques, and a broad range of problems. It covers the language of coordinates, the equations of lines and curves, and the geometry of solids and surfaces, with a steady emphasis on clear, workable methods.



  • Foundations: how to represent points, lines, and planes with algebraic formulas

  • Conics and curves: circles, ellipses, parabolas, and hyperbolas, including tangent and normal concepts

  • Three-dimensional topics: equations of surfaces and tangent planes, and methods for space geometry

  • Problem solving: determinate problems, transformations, and practical steps to final answers


Ideal for students and self‑learners seeking a solid, hands-on introduction to analytic geometry that connects theory with computation.

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