A Catalog of Special Plane Curves (Dover Books on Mathematics)

Forty years after its initial publication, this volume continues to rank among the field's most-cited references. One of the largest and finest available collections, the catalog covers general properties of curves and types of derived curves. The curves and the values of their parameters are illustrated by nearly 90 images from a CalComp digital incremental plotter.
Suitable for students and researchers in geometry and computer science, the text begins by introducing general properties of curves and types of derived curves. Subsequent chapters apply these properties to conics and polynomials, cubic and quartic curves, algebraic curves of high degree, and transcendental curves. A total of more than 60 special curves are featured, each illustrated with one or more CalComp plots containing curves in up to eight different variants. Indexes provide tables of derived curves, curve names, and a 95-item guide to further reading.