# List of curves

From HandWiki

__: none__

**Short description**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

##### 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
- Lemniscate of Booth
- Lemniscate of Gerono
- Lemniscate of Bernoulli

- 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

- 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
- 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
- Reuleaux triangle
- 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]
- 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
- Aggregate demand curve
- Compensated demand curve

- Engel curve
- Hubbert curve
- Indifference curve
- J 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
- 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
- A Visual Directory 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

Original source: https://en.wikipedia.org/wiki/List of curves.
Read more |