A catalogue of special plane curves

Properties of curves : Coordinate systems ; Angles ; Changes between coordinate systems ; Changes within coordinate systems ; Distances ; Curve ; Curvature ; Mensuration ; Geometry
Types of derived curves : Evolute, involute, radial ; Parallel curves ; Inversion ; Pedal curves ; Conchoid ; Strophoid ; Cissoid ; Roulette ; Isoptic ; Caustic
Conics and polynomials : Conics ; Circle ; Parabola ; Ellipse ; Hyperbola ; Power function ; Polynomial
Cubic curves : Semi-cubical parabola ; Tschirnhausen’s cubic ; Witch of Agnesi ; Pedal of a parabola ; Cissoid of Diocles ; Right strophoid ; Trisectrix of Maclaurin ; Folium of Descartes ; Trident of Newton ; Serpentine
Quartic curves : Limacon of Pascal ; Cardioid ; Lemniscate of Bernoulli ; Eight curve ; Bullet nose ; Cross curve ; Deltoid ; Conchoid of Nicomedes ; Kappa curve ; Kampyle of Eudoxus ; Hippopede ; Bicorn ; Piriform ; Devil’s curve ; Folia ; Cassinian oval ; Cartesian oval ; Durer’s conchoid
Algebraic curves of high degree : Epitrochoid ; Hypotrochoid ; Epicycloid ; Nephroid ; Hypocycloid ; Astroid ; Rhodonea ; Nephroid of Freeth ; Cayley’s sextic ; Bowditch curve
Transcendental curves : Sinusoidal spiral ; Logarithmic spiral ; Archimedean spirals ; Euler’s spiral ; Involute of a circle ; Epi spiral ; Poinsot’s spirals ; Cochleoid ; Cycloid ; Quadratrix of Hippias ; Catenary ; Tractrix

Forty years after its initial publication, this volume ranks among its 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.