Algebra Applied to Geometry: To Determine the Position of a Point at Rest, the Locus of a Moving Point, the Equation to the Straight Line, and the Equation to the Circle (Classic Reprint) - Hardcover

Unknown Author

Hardcover

ISBN 10: 0332832805 ISBN 13: 9780332832807

Publisher: Forgotten Books, 2018

Synopsis

Master the geometry of lines and circles with clear, step-by-step algebra.

This classic introductory text helps you determine the position of a point, the locus of a moving point, and the equations of straight lines and circles. It emphasizes developing usable methods from basic algebra and geometry, with many worked examples, diagrams, and practice problems.

The book lays a solid foundation in coordinate concepts, including rectangular and oblique axes, and shows how to derive and trace lines and circles from their equations. It focuses on approachable techniques that build confidence for students whose knowledge covers Euclid, Trigonometry, and algebra up to quadratic equations.

• Learn to express a line or circle with equations in different coordinate systems and through given points or constraints.
• Explore tracing lines from their equations, and understand tangents, normals, and intersections with other figures.
• Work through examples and problems that connect geometric ideas to algebraic expressions.
• Develop intuition for how changes in coordinates affect the shape and position of lines and circles.

Ideal for readers beginning analytic geometry and seeking practical, well-structured guidance in plane geometry.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0332832805
• ISBN 13: 9780332832807
• Binding: Hardcover
• Number of pages: 110