This precise account of the elementary differential properties of plane curves provides a link between analysis and more complicated geometrical theorems. It examines elementary properties of tangents and normals, curvature of plane curves, theories of contact and of envelopes, singular points of plane curves, and asymptotes of plane curves. 1920 edition. Unabridged republication of the edition published by Cambridge University Press, 1920.
Here's a sample of other books in this Dover category
Differential Geometry by Heinrich W. Guggenheimer This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.
Differential Geometry by Erwin Kreyszig An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.
Lectures on Classical Differential Geometry: Second Edition by Dirk J. Struik Excellent brief introduction presents fundamental theory of curves and surfaces and applies them to a number of examples. Topics include curves, theory of surfaces, fundamental equations, envelopes, more. Many problems and solutions. Bibliography.
The Advanced Geometry of Plane Curves and Their Applications by C. Zwikker This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. 1950 edition.
