Elementary Co-Ordinate Geometry for Collegiate Use and Private (Classic Reprint) - Softcover

Inhaltsangabe

This book introduces the fundamentals of analytic geometry, a critical tool used to solve geometric problems concerning the relationship between points, lines, circles, and other geometric shapes. The book's approach emphasizes the use of algebraic equations to represent and manipulate geometric figures, providing a pathway to understanding the geometric properties of these shapes in a precise and quantitative way. It is structured in two parts, with the first part focusing on plane geometry, while the second part explores the geometry of three-dimensional space. The author guides the reader through the core concepts of analytic geometry, such as coordinate systems, equations of lines and circles, and conic sections. These concepts are illustrated with a wealth of examples, allowing readers to grasp the practical applications of analytic geometry and strengthen their understanding. The book also introduces essential techniques for lines and planes in space and explores surfaces such as the ellipsoid, hyperboloid, and paraboloid. Through the author's clear explanations and well-chosen examples, this book empowers readers to employ analytic geometry as a valuable tool for studying and solving geometric problems. The concepts and insights presented serve as a foundation for further exploration in fields such as physics, engineering, and computer graphics, making it a valuable resource for students and those seeking a deeper understanding of geometry.

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