| 词条 |
List of curves |
| 释义 |
- Algebraic curves Rational curves Degree 1 Degree 2 Degree 3 Degree 4 Degree 5 Degree 6 Families of variable degree Curves of genus one Curves with genus greater than one Curve families with variable genus
- Transcendental curves
- Piecewise constructions
- Fractal curves
- Curves in space
- Curves generated by other curves
- Named graphs
- See also
- External links
{{List missing criteria |date=February 2019}}This is a list of curves, by Wikipedia page. Algebraic curves- Cubic plane curve
- Quartic plane curve
Rational curvesDegree 1Degree 2- Conic sections
- Circle
- Unit circle
- Ellipse
- Parabola
- Hyperbola
- Unit hyperbola
Degree 3- 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- 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
- Cardioid
- Limaçon trisectrix
- Ovals of Cassini
- Quadrifolium
- Squircle
- Trifolium Curve
Degree 5Degree 6- Astroid
- Atriphtaloid
- Nephroid
- Quadrifolium
Families of variable degree- Epicycloid
- Epispiral
- Epitrochoid
- Hypocycloid
- Lissajous curve
- Poinsot's spirals
- Rational normal curve
- Rose curve
Curves of genus one- Bicuspid curve
- Cassinoide
- Cubic curve
- Elliptic curve
- Watt's curve
Curves with genus greater than one- 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[https://web.archive.org/web/20041114002246/http://www.mathcurve.com/courbes2d/isochron/isochrone%20leibniz]
- Isochrone of Varignon[https://web.archive.org/web/20041113201905/http://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon]
- Lamé curve
- Pursuit curve
- Rhumb line
- Sinusoid
- Spirals
- Archimedean spiral
- Cornu spiral
- Cotes' spiral
- Fermat's spiral
- Galileo's spiral
- Hyperbolic spiral
- Lituus
- Logarithmic spiral
- Nielsen's spiral
- Syntractrix
- Tractrix
- Trochoid
Piecewise constructions- Bézier curve
- Splines
- B-spline
- Nonuniform rational B-spline
- Ogee
- Loess curve
- Lowess
- Polygonal curve
- Reuleaux triangle
Fractal curves- Blancmange curve
- De Rham curve
- Dragon curve
- Koch curve
- Lévy C curve
- space-filling curve, also known as the Peano curve
- Sierpiński curve
see also List of fractals by Hausdorff dimension Curves in space- Conchospiral
- Helix
- Tendril perversion (a transition between back-to-back helices)
- Hemihelix, a quasi-helical shape characterized by multiple tendril perversions
- Seiffert's spiral
- Slinky spiral
- 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
- Orthotomic
- Negative pedal curve
- Pedal curve
- Parallel curve
- Radial curve
- Roulette
- Strophoid
Named graphsEconomics- Contract curve
- Cost curve
- Demand curve
- Aggregate demand curve
- Compensated demand curve
- Engel curve
- Indifference curve
- J curve
- Laffer curve
- Lorenz curve
- Phillips curve
- Supply curve
- Aggregate supply curve
- Backward bending supply curve of labor
Other- Bathtub curve
- Bell curve
- Calibration curve
- Cardiac function curve
- Dose–response curve
- Fish curve
- Fletcher–Munson curve
- Forgetting curve
- Gompertz curve
- Growth curve (disambiguation)
- Hubbert curve
- Kruithof curve
- Learning curve
- Light curve
- Logistic curve
- Oxygen–hemoglobin dissociation curve
- Paschen curve
- Robinson–Dadson curves
- Rotation curve
- Species–area curve
- Stress–strain curve
See also- Gallery of curves
- List of curves topics
- List of surfaces
- Riemann surface
- list of spirals
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) [https://books.google.com/books?id=yUxtAAAAMAAJ&dq=Circular+cubic&source=gbs_navlinks_s online at Google Books]
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