वक्रों की सूची

Conics and cubic.svg

वक्रो की सूची

यहाँ पर विभिन्न वक्रों की सूची दी गयी है।

बीजीय वक्र (Algebraic curves)

• Cubic plane curve
• Quartic plane curve
• Quintic plane curve
• Sextic plane curve

परिमेय वक्र (Rational curves)

एकघातीय वक्र (Degree 1)

• रेखा (गणित)

द्विघातीय वक्र (Degree 2)

• शांकव (Conic sections)
  • वृत्त (Circle)
  • दीर्घवृत्त (Ellipse)
  • परवलय (Parabola)
  • अति परवलय (Hyperbola)

त्रिघातिय वक्र (Degree 3)

• Folium of Descartes
• Cissoid of Diocles
• Conchoid of de Sluze
• Right strophoid
• Serpentine curve
• Trident curve
• Trisectrix of Maclaurin
• Tschirnhausen cubic
• Witch of Agnesi

चतुर्घातीय वक्र (Degree 4)

• Ampersand curve
• Bean curve
• Bicorn
• Bow curve
• Bullet-nose curve
• Crooked egg curve
• Cruciform curve
• Deltoid curve
• Devil's curve
• Hippopede
• Kampyle of Eudoxus
• Kappa curve
• Lemniscate of Booth
• Lemniscate of Gerono
• Lemniscate of Bernoulli
• Limaçon
  • Cardioid
  • Limaçon trisectrix
• Trifolium curve

Panachatiey Curva (Grado 5)

• Curva di Burnside [1]

$x^{5}-y^{2}-x=0$$x^{5}-y^{2}-x=0$

• Curva di De l'Hospital [2]

$(x^{2}+y^{2})^{2}(y-2)+y(4x^{4}+x^{2}+y^{2})=0$$(x^{2}+y^{2})^{2}(y-2)+y(4x^{4}+x^{2}+y^{2})=0$

• Curva a staffa

[3] $y^{2}(y-1)(y-2)(y+5)-(x^{2}-1)^{2}=0$$y^{2}(y-1)(y-2)(y+5)-(x^{2}-1)^{2}=0$

• Curva a tre Cappi [4]

$(x^{2}-y^{2})(y^{2}-1)(2y-3)-y(x^{2}+y^{2}-2y)^{2}=0$$(x^{2}-y^{2})(y^{2}-1)(2y-3)-y(x^{2}+y^{2}-2y)^{2}=0$

• Curva sinuosa

[5] $x^{5}+y^{5}-x=0$$x^{5}+y^{5}-x=0$

• Curva a bulbo

[6] $y^{5}+5(x^{4}-y^{4}-1)=0$$y^{5}+5(x^{4}-y^{4}-1)=0$

• Curva di Mutasci

[7] $x^{5}+y^{5}-x^{4}-y^{4}+xy=0$$x^{5}+y^{5}-x^{4}-y^{4}+xy=0$

षड्घातीय वक्र (Degree 6)

• Astroid
• Atriphtaloid
• Nephroid
• Quadrifolium

• Curva astroide[8]

$(x^{2}+y^{2}-1)^{3}+27x^{2}y^{2}=0$$(x^{2}+y^{2}-1)^{3}+27x^{2}y^{2}=0$

• Curva atriftaloide[9]

$x^{4}(x^{2}+y^{2})-(3x^{2}-2)^{2}=0$$x^{4}(x^{2}+y^{2})-(3x^{2}-2)^{2}=0$

• Curva nefroide[10]

$(a^{2}y^{2}+y^{2}-4)^{3}-108y^{2}=0$$(a^{2}y^{2}+y^{2}-4)^{3}-108y^{2}=0$

• Curva a quadrifoglio obliquo[11]

$(x^{2}+y^{2})^{3}-4x^{2}y^{2}=0$$(x^{2}+y^{2})^{3}-4x^{2}y^{2}=0$

• Curva a quadrifoglio dritto[12]

$(x^{2}+y^{2})^{3}-(x^{2}-y^{2})^{2}=0$$(x^{2}+y^{2})^{3}-(x^{2}-y^{2})^{2}=0$

परिवर्ती घात वाले परिवार (Families of variable degree)

• Epicycloid
• Epispiral
• Epitrochoid
• Hypocycloid
• Lissajous curve
• Poinsot's spirals
• Rational normal curve
• Rose curve

एक जीनस वाले वक्र (Curves of genus one)

• Bicuspid curve
• Cassini oval
• Cassinoide
• Cubic curve
• Elliptic curve
• Watt's curve

एकाधिक जीनस वाले वक्र (Curves with genus greater than one)

• Butterfly curve (algebraic)
• Elkies trinomial curves
• Hyperelliptic curve
• Klein quartic
• Classical modular curve
• Trott curve

परिवर्ती जीनस वाले वक्र (Curve families with variable genus)

• Polynomial lemniscate
• Fermat curve
• Sinusoidal spiral
• Superellipse

अबीजीय वक्र (Transcendental curves)

• Bowditch curve
• Brachistochrone
• Butterfly curve (transcendental)
• Catenary
• Clélies
• Cochleoid
• Curve of pursuit
• Cycloid
• Horopter
• Isochrone
  • Isochrone of Huygens (Tautochrone)
  • Isochrone of Leibniz[13]
  • Isochrone of Varignon[14]
• Lamé curve
• Rhumb line
• Spirals
  • Archimedean spiral
  • Cornu spiral
  • Cotes' spiral
  • Fermat's spiral
  • Galileo's spiral [15]
  • Hyperbolic spiral
  • Lituus
  • Logarithmic spiral
  • Nielsen's spiral
• Syntractrix
• Tractrix
• Trochoid

टुकड़ों में संतत वक्र (Piecewise constructions)

• Bezier curve
• Splines
  • B-spline
  • Nonuniform rational B-spline
• Ogee
• Loess curve
• Lowess
• Polygonal curve
  • Maurer rose
• Reuleaux triangle

फ्रैक्टल वक्र (Fractal curves)

• Blancmange curve
• De Rham curve
• Dragon curve
• Koch curve
• Lévy C curve
• space-filling curve, also known as the Peano curve
• Sierpinski curve

आकाशीय वक्र (Curves in space)

• Conchospiral
• Helix
• Seiffert's spiral [16]
• Slinky spiral [17]
• Twisted cubic
• Viviani's curve

दूसरे वक्रों से जनित वक्र (Curves generated by other curves)

• Caustic including Catacaustic and Diacaustic
• Cissoid
• Evolute
• Glissette
• Inverse curve
• Involute
• Isoptic including Orthoptic
• Orthotomic
• Negative pedal curve
• Pedal curve
• Roulette
• Strophoid

नाम वाले ग्राफ (Named graphs)

अर्थशास्त्र

• Backward bending supply curve of labour
• Contract curve
• Cost curve
• Demand curve
  • Compensated demand curve
• Engel curve
• Indifference curve
• Laffer curve
• Lorenz curve
• Phillips curve
• J-curve

अन्य

• Bathtub curve
• Bell curve
• Calibration curve
• Cardiac function curve
• Dose-response curve
• Fletcher-Munson curve
• Forgetting curve
• Gompertz curve
• Growth curve
• Hubbert curve
• Kruithof curve
• Learning curve
• Light curve
• Logistic curve
• Oxyhemoglobin dissociation curve
• Paschen curve
• Robinson-Dadson curves
• Rotation curve
• Species-area curve
• Stress-strain curve

बाहरी कड़ियाँ

• Famous Curves Index
• Two Dimensional Curves - has large pop-up advertisements
• 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