Girish Mahajan (Editor)

List of curves

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This is a list of curves, by Wikipedia page.

Contents

Algebraic curves

  • Cubic plane curve
  • Quartic plane curve

    • Degree 1

  • Line

    • Degree 2

  • Conic sections
  • Circle
  • Ellipse
  • Parabola
  • Hyperbola
  • Unit circle
  • Unit hyperbola

    • Degree 3

  • 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
  • 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
  • Trifolium Curve

    • Degree 5

    None at this time

    Degree 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
  • Cassini oval
  • 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

    • Transcendental curves

  • Bowditch curve
  • Brachistochrone
  • Butterfly curve (transcendental)
  • Catenary
  • Clélies
  • Cochleoid
  • Cycloid
  • Horopter
  • Interscendental curve: A curve defined using irrational exponents, such as y=x√2. See Salmon (1879, p. 206)
  • Isochrone
  • Isochrone of Huygens (Tautochrone)
  • Isochrone of Leibniz[1]
  • Isochrone of Varignon[2]
  • Lamé curve
  • Pursuit curve
  • Rhumb line
  • 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
  • Splines
  • B-spline
  • Nonuniform rational B-spline
  • Ogee
  • Loess curve
  • Lowess
  • Polygonal curve
  • Maurer rose
  • 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 [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
  • Orthotomic
  • Negative pedal curve
  • Pedal curve
  • Parallel curve
  • Radial curve
  • Roulette
  • Strophoid

    • Named graphs

    Economics

  • Contract curve
  • Cost curve
  • Demand curve
  • Compensated demand curve
  • Engel curve
  • Indifference curve
  • J curve
  • Laffer curve
  • Lorenz curve
  • Phillips curve
  • 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

    • References

    List of curves Wikipedia
    (Text) CC BY-SA


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