Foundations of analytic geometry for beginners and beyond
This concise, math-focused volume introduces core ideas from Plane and Solid Analytic Geometry by William Fogg Osgood. It covers how to think about points, lines, and curves in a coordinate plane, using clear definitions and step-by-step development. Readers explore directed line-segments, their sums, and how projections relate to the geometry of broken lines, building a solid framework for further study.
What you’ll get from this edition:
- How directed line-segments work, including their direction, length, and algebraic representation.
- The concept of projection and how the sum of projections relates to connecting points on a line.
- Coordinate systems: creating and interpreting rectangular coordinates, axes, and origin.
- Practical methods for working with parabolas and other curves using coordinates and tangents.
Ideal for students seeking a clear, structured introduction to analytic geometry that builds to more advanced topics and exercises.