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Naming and Classification of Curves
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"∑ Back to Visual Dictionary Of Special Plane Curves .
Naming and Classification of Curves
The Naming of Curves
Here are some examples of how curves got named. The list is not
exhaustive.
By Person's names : quadratrix of Hippias , conchoid of Nicomedes , Kappa curve, limacon of Pascal , lemniscate of Bernoulli , witch of Agnesi , Folium of Descartes , trisectrix of Maclaurin , trident of Newton (aka parabola of Descartes), Tschirnhausen's cubic (aka trisectrix of Catalan, L'Hospital's cubic), Cayley's sextic, nephroid of Freeth,
Euler Spiral ,
Cornu Spiral ,
Euler's curve (x^y==y^x), Durer's conchoid,
Bowditch curve .
Note that in general, the name attached to a curve or a math theorem is not necessary the person who invented or worked on it.
By method of construction : caustics , derivative, integral, isoptic, orthoptic, parallel , pedal , radial, envelope , evolute , involute , cissoid , conchoid , roulette, glissette, strophoid, pursuit curve.
By property :
Conic Sections , trisectrix , quadratrix , brachistochrone (aka cycloid ), tautochrone (aka cycloid ), isochrone (aka semi-cubic parabola , semi-cubical parabola), anallagmatic curve.
By shape : astroid (star), deltoid (greek letter Delta), cardioid (hear-shaped), conchoid of Nicomedes (mussel-shaped), nephroid (kidney-shaped), cycloid (circle, wheel), folia (leaf), trident of Newton, serpentine (snake), cissoid of Diocles (Ivy-shaped), rose (aka rhodonea), catenary (chain-shaped) (aka chainette, alysoid), tractrix , spiral (coils), lemniscate o"
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