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)
[edit]Rational curves
[edit]Rational curves are subdivided according to the degree of the polynomial.
Degree 1
[edit]Degree 2
[edit]Plane curves of degree 2 are known as conics or conic sections and include
Degree 3
[edit]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
[edit]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
- Limaçon
- Ovals of Cassini
- Squircle
- Three-leaved clover
Degree 5
[edit]Degree 6
[edit]- Astroid
- Atriphtaloid
- Nephroid
- Quadrifolium
Curve families of variable degree
[edit]- Epicycloid
- Epispiral
- Epitrochoid
- Hypocycloid
- Hypotrochoid
- Lissajous curve
- Poinsot's spirals
- Rational normal curve
- Rose curve
Curves with genus 1
[edit]Curves with genus > 1
[edit]- 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
[edit]- Polynomial lemniscate
- Fermat curve
- Sinusoidal spiral
- Superellipse
- Hurwitz surface
- Elkies trinomial curves
- Hyperelliptic curve
- Classical modular curve
- Cassini oval
Transcendental curves
[edit]- 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
[edit]Fractal curves
[edit]- 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
[edit]- 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
[edit]- 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
[edit]- 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
[edit]- 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
[edit]- Cardiac function curve
- Dose–response curve
- Growth curve (biology)
- Oxygen–hemoglobin dissociation curve
Psychology
[edit]Ecology
[edit]See also
[edit]- Gallery of curves
- List of curves topics
- List of spirals
- List of surfaces
- Riemann surface
- Spherical curve
External links
[edit]- 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
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