List of curves
This is a list of Wikipedia articles about curves used in different fields: mathematics, physics, engineering, economics, medicine, biology, psychology, ecology, etc.
Mathematics (Geometry)
[Algebraic curve]s
Rational curves
Rational curves are subdivided according to the degree of the polynomial.Degree 1
- Line
Degree 2
Cubic plane curves include
- Cubic parabola
- 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
- Cartesian oval
- Conchoid of Dürer
- Cruciform curve
- Deltoid curve
- Devil's curve
- Hippopede
- Kampyle of Eudoxus
- Kappa curve
- Lemniscate
- *Lemniscate of Booth
- *Lemniscate of Gerono
- *Lemniscate of Bernoulli
- Limaçon
- *Cardioid
- *Limaçon trisectrix
- Ovals of Cassini
- Squircle
- Three-leaved clover
Degree 5
Degree 6
- Astroid
- Atriphtaloid
- Nephroid
- Quadrifolium
Curve families of variable degree
- Epicycloid
- Epispiral
- Epitrochoid
- Hypocycloid
- Hypotrochoid
- Lissajous curve
- Poinsot's spirals
- Rational normal curve
- Rose curve
Curves with genus 1
Curves with genus > 1
Curve families with variable genus
- Polynomial lemniscate
- Fermat curve
- Sinusoidal spiral
- Superellipse
- Hurwitz surface
- Elkies trinomial curves
- Hyperelliptic curve
- Classical modular curve
- Cassini oval
Transcendental curves
- Bowditch curve
- Brachistochrone
- Butterfly curve (transcendental)
- Catenary
- Clélies
- Cochleoid
- Cycloid
- Horopter
- Isochrone
- *Isochrone of Huygens
- *Isochrone of Leibniz
- *Isochrone of Varignon
- Lamé curve
- Pursuit curve
- Rhumb line
- Sinusoid
- Spirals
- *Archimedean spiral
- *Cornu spiral
- *Cotes' spiral
- *Fermat's spiral
- *Galileo's spiral
- *Hyperbolic spiral
- *Lituus
- *Logarithmic spiral
- *Nielsen's spiral
- Syntractrix
- Tractrix
- Trochoid
Piecewise constructions
- Bézier curve
- Loess curve
- Lowess
- Ogee
- Polygonal curve
- *Maurer rose
- Reuleaux triangle
- Stadium
- Splines
- *B-spline
- *Nonuniform rational B-spline
Fractal curves
See also List of fractals by Hausdorff dimension.Space curves/Skew curves
- Conchospiral
- Helix
- *Hemihelix, a quasi-helical shape characterized by multiple tendril perversions
- *Tendril perversion
- Seiffert's spiral
- Slinky spiral
- Space cardioid
- 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
- Negative pedal curve
- *Fish curve
- Orthotomic
- Parallel curve
- Pedal curve
- Radial curve
- Roulette
- Strophoid
Applied Mathematics/Statistics/Physics/Engineering
- Bathtub curve
- Bell curve
- Calibration curve
- Curve of growth
- Fletcher–Munson curve
- Galaxy rotation curve
- Gompertz curve
- Growth curve (statistics)
- Kruithof curve
- Light curve
- Logistic curve
- Paschen curve
- Robinson–Dadson curves
- Stress–strain curve
- Space-filling curve
Economics/Business
- Contract curve
- Cost curve
- Demand curve
- *Aggregate demand curve
- *Compensated demand curve
- Duck curve
- Engel curve
- Hubbert curve
- Indifference curve
- J curve
- Kuznets curve
- Laffer curve
- Lorenz curve
- Phillips curve
- Supply curve
- *Aggregate supply curve
- *Backward bending supply curve of labor