List of curves
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)
Rational curves
Rational curves are subdivided according to the degree of the polynomial.
Degree 1
Degree 2
Plane curves of degree 2 are known as conics or conic sections and include
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
- Cruciform curve
- Deltoid curve
- Devil's curve
- Hippopede
- Kampyle of Eudoxus
- Kappa curve
- Lemniscate
- Limaçon
- Ovals of Cassini
- Squircle
- Trifolium Curve
Degree 5
Degree 6
Curve families of variable degree
- Epicycloid
- Epispiral
- Epitrochoid
- Hypocycloid
- Lissajous curve
- Poinsot's spirals
- Rational normal curve
- Rose curve
Curves with genus 1
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
- Syntractrix
- Tractrix
- Trochoid
Piecewise constructions
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]
- 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
- 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
- Engel curve
- Hubbert curve
- Indifference curve
- J curve
- Kuznets curve
- Laffer curve
- Lorenz curve
- Phillips curve
- Supply curve
Medicine/Biology
- Cardiac function curve
- Dose–response curve
- Growth curve (biology)
- Oxygen–hemoglobin dissociation curve
Psychology
Ecology
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
- "Courbes 2D" at Encyclopédie des Formes Mathématiques Remarquables
- "Courbes 3D" at Encyclopédie des Formes Mathématiques Remarquables
- An elementary treatise on cubic and quartic curves by Alfred Barnard Basset (1901) online at Google Books
| Curves |  | ||
|---|---|---|---|
| Helices |
| ||
| Spirals | |||