This is a list of Wikipedia articles about curves used in different fields: mathematics (including geometry, statistics, and applied mathematics), physics, engineering, economics, medicine, biology, psychology, ecology, etc.
Mathematics (Geometry)
Algebraic curves
Rational curves Rational curves are subdivided according to the degree of the polynomial.
Degree 1 Line
Degree 2 Plane curves of degree 2 are known as conics or conic sections and include
Circle Unit circle Ellipse Parabola Hyperbola Unit hyperbola
Degree 3 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 Quartic plane curves include
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 Bicuspid curve Cassinoide Cubic curve Elliptic curve Watt's curve
Curves with genus > 1 Bolza surface (genus 2) Klein quartic (genus 3) Bring's curve (genus 4) Macbeath surface (genus 7) Butterfly curve (algebraic) (genus 7)
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 (Tautochrone) Isochrone of Leibniz[1] Isochrone of Varignon[2] Lamé curve Pursuit curve Rhumb line Sinusoid Spirals Archimedean spiral Cornu spiral Cotes' spiral Fermat's spiral Galileo's spiral [3] 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 Blancmange curve De Rham curve Dragon curve Koch curve Lévy C curve Sierpiński curve Space-filling curve (Peano curve) 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 (a transition between back-to-back helices) Seiffert's spiral [4] Slinky spiral [5] 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 (astronomy) 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
Medicine/Biology Cardiac function curve Dose–response curve Growth curve (biology) Oxygen–hemoglobin dissociation curve
Psychology Forgetting curve Learning curve
Ecology Species–area curve
See also Gallery of curves List of curves topics List of spirals List of surfaces Riemann surface Spherical curve
External links Famous Curves Index Two Dimensional Curves Visual Dictionary of Special Plane Curves Curves and Surfaces Index (Harvey Mudd College) National Curve Bank An elementary treatise on cubic and quartic curves by Alfred Barnard Basset (1901) online at Google Books