Analytic Geometry by Claude Irwin Palmer and William Charles Krathwohl is a classic textbook that presents the principles of coordinate geometry with exceptional clarity and mathematical rigor. Beginning with the Cartesian coordinate system the book systematically develops the equations and properties of lines circles conic sections and higher-order curves enabling readers to understand the close relationship between algebra and geometry. The text covers essential topics such as straight lines transformations of coordinates loci circles parabolas ellipses hyperbolas polar coordinates parametric equations and an introduction to solid analytic geometry. Carefully worked examples proofs and graded exercises reinforce theoretical concepts while developing strong analytical and problem-solving skills. Written for undergraduate students mathematics educators engineering students and anyone seeking a solid foundation in coordinate geometry this enduring work remains a valuable resource for both classroom study and self-learning. Its logical presentation and emphasis on mathematical reasoning have made it a respected reference for generations of students and teachers.