Mathematics Mathematical objects Curves view content

List of curves

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description: Algebraic curvesCubic plane curveQuartic plane curveRational curvesDegree 1LineDegree 2Conic sectionsCircleEllipseParabolaHyperbolaunit circleunit hyperbolaDegree 3Folium of DescartesCissoid of Diocle ...
Algebraic curves

Cubic plane curve
Quartic plane curve
Rational curves
Degree 1
Line
Degree 2
Conic sections
Circle
Ellipse
Parabola
Hyperbola
unit circle
unit hyperbola
Degree 3
Folium of Descartes
Cissoid of Diocles
Conchoid of de Sluze
Right strophoid
Semicubical parabola
Serpentine curve
Trident curve
Trisectrix of Maclaurin
Tschirnhausen cubic
Witch of Agnesi
Degree 4
Ampersand curve
Bean curve
Bicorn
Bow curve
Bullet-nose curve
Cruciform curve
Deltoid curve
Devil's curve
Hippopede
Kampyle of Eudoxus
Kappa curve
Lemniscate of Booth
Lemniscate of Gerono
Lemniscate of Bernoulli
Limaçon
Cardioid
Limaçon trisectrix
Trifolium curve
Degree 5
Quintic of l'Hospital [1]
Degree 6
Astroid
Atriphtaloid
Nephroid
Quadrifolium
Families of variable degree
Epicycloid
Epispiral
Epitrochoid
Hypocycloid
Lissajous curve
Poinsot's spirals
Rational normal curve
Rose curve
Curves of genus one
Bicuspid curve
Cassini oval
Cassinoide
Cubic curve
Elliptic curve
Watt's curve
Curves with genus greater than one
Butterfly curve (algebraic)
Elkies trinomial curves
Hyperelliptic curve
Klein quartic
Classical modular curve
Bolza surface
Macbeath surface
Curve families with variable genus
Polynomial lemniscate
Fermat curve
Sinusoidal spiral
Superellipse
Hurwitz surface
Transcendental curves

Bowditch curve
Brachistochrone
Butterfly curve (transcendental)
Catenary
Clélies
Cochleoid
Cycloid
Horopter
Interscendental curve: A curve defined using irrational exponents, such as y=x√2. See Salmon (1879, p. 206)
Isochrone
Isochrone of Huygens (Tautochrone)
Isochrone of Leibniz[2]
Isochrone of Varignon[3]
Lamé curve
Pursuit curve
Rhumb line
Spirals
Archimedean spiral
Cornu spiral
Cotes' spiral
Fermat's spiral
Galileo's spiral [4]
Hyperbolic spiral
Lituus
Logarithmic spiral
Nielsen's spiral
Syntractrix
Tractrix
Trochoid
Piecewise constructions

Bézier curve
Splines
B-spline
Nonuniform rational B-spline
Ogee
Loess curve
Lowess
Polygonal curve
Maurer rose
Reuleaux triangle
Fractal curves

Blancmange curve
De Rham curve
Dragon curve
Koch curve
Lévy C curve
space-filling curve, also known as the Peano curve
Sierpiński curve
see also List of fractals by Hausdorff dimension

Curves in space

Conchospiral
Helix
Seiffert's spiral [5]
Slinky spiral [6]
Twisted cubic
Viviani's curve
Curves generated by other curves

Caustic including Catacaustic and Diacaustic
Cissoid
Conchoid
Evolute
Glissette
Inverse curve
Involute
Isoptic including Orthoptic
Orthotomic
Negative pedal curve
Pedal curve
Parallel curve
Radial curve
Roulette
Strophoid
Named graphs

Economics

Backward bending supply curve of labour
Contract curve
Cost curve
Demand curve
Compensated demand curve
Engel curve
Indifference curve
Laffer curve
Lorenz curve
Phillips curve
J-curve
Other

Bathtub curve
Bell curve
Calibration curve
Cardiac function curve
Dose-response curve
Fish curve
Fletcher-Munson curve
Forgetting curve
Gompertz curve
Growth curve
Hubbert curve
Kruithof curve
Learning curve
Light curve
Logistic curve
Oxyhemoglobin dissociation curve
Paschen curve
Robinson-Dadson curves
Rotation curve
Species-area curve
Stress-strain curve

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