Famous Curves Index

Click on the name of a curve below to see its history and some of its associated curves.
Astroid
Bicorn
Cardioid
Cartesian Oval
Cassinian Ovals
Catenary
Cayley's Sextic
Circle
Cissoid of Diocles
Cochleoid
Conchoid
Conchoid of de Sluze
Cycloid
Devil's Curve
Double Folium
Dürer's Shell Curves
Eight Curve
Ellipse
Epicycloid
Epitrochoid
Equiangular Spiral
Fermat's Spiral
Folium
Folium of Descartes
Freeth's Nephroid
Frequency Curve
Hyperbola
Hyperbolic Spiral
Hypocycloid
Hypotrochoid
Involute of a Circle
Kampyle of Eudoxus
Kappa Curve
Lamé Curves
Lemniscate of Bernoulli
Limacon of Pascal
Lissajous Curves
Lituus
Neile's Parabola
Nephroid
Newton's Parabolas
Parabola
Pearls of de Sluze
Pear-shaped Quartic
Plateau Curves
Pursuit Curve
Quadratrix of Hippias
Rhodonea Curves
Right Strophoid
Serpentine
Sinusoidal Spirals
Spiral of Archimedes
Spiric Sections
Straight Line
Talbot's Curve
Tractrix
Tricuspoid
Trident of Newton
Trifolium
Trisectrix of Maclaurin
Tschirnhaus' Cubic
Watt's Curve
Witch of Agnesi

Anyone with the Mathematical MacTutor system can investigate these curves and their associated curves in an interactive way.

Similarly, anyone whose browser knows what to do with Java can experiment in the same way. Here is a list of those curves for which this facility is available


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JOC/EFR November 2000

The URL of this page is:

School_of_Mathematics_and_Statistics
University_of_St_Andrews,_Scotland
http://www-history.mcs.st-andrews.ac.uk/history/Curves/Curves.html