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
- 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)
- Lamé curve
- Pursuit curve
- Rhumb line
- Sinusoid
- Spirals
- Archimedean spiral
- Cornu spiral
- Cotes' spiral
- Fermat'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]
- [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
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
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 LineDegree 2 Plane curves of degree 2 are known as conics or conic sections and include Circle Unit circle Ellipse Parabola Hyperbola Unit hyperbolaDegree 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 AgnesiDegree 4 Quartic plane curves include Ampersand curve Bean curve Bicorn Bow curve Bullet nose curve Cartesian oval Conchoid of Durer Cruciform curve Deltoid curve Devil s curve Hippopede Kampyle of Eudoxus Kappa curve Lemniscate Lemniscate of Booth Lemniscate of Gerono Lemniscate of Bernoulli Limacon Cardioid Limacon trisectrix Ovals of Cassini Squircle Three leaved cloverDegree 5 Degree 6 Astroid Atriphtaloid Nephroid QuadrifoliumCurve families of variable degree Epicycloid Epispiral Epitrochoid Hypocycloid Hypotrochoid Lissajous curve Poinsot s spirals Rational normal curve Rose curveCurves with genus 1 Bicuspid curve Cassinoide Cubic curve Elliptic curve Watt s curveCurves with genus gt 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 ovalTranscendental curves Bowditch curve Brachistochrone Butterfly curve transcendental Catenary Clelies Cochleoid Cycloid Horopter Isochrone Isochrone of Huygens Tautochrone Lame curve Pursuit curve Rhumb line Sinusoid Spirals Archimedean spiral Cornu spiral Cotes spiral Fermat s spiral 3 Hyperbolic spiral Lituus Logarithmic spiral Nielsen s spiral Syntractrix Tractrix TrochoidPiecewise constructions Bezier curve Loess curve Lowess Ogee Polygonal curve Maurer rose Reuleaux triangle Stadium Splines B spline Nonuniform rational B splineFractal curves Blancmange curve De Rham curve Dragon curve Koch curve Levy C curve Sierpinski 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 5 Space cardioid Twisted cubic Viviani s curveCurves 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 StrophoidApplied Mathematics Statistics Physics EngineeringBathtub 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 curveEconomics BusinessContract 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 laborMedicine BiologyCardiac function curve Dose response curve Growth curve biology Oxygen hemoglobin dissociation curvePsychologyForgetting curve Learning curveEcologySpecies area curveSee alsoGallery of curves List of curves topics List of spirals List of surfaces Riemann surface Spherical curveExternal linksFamous 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
