वक्रों की सूची

Conics and cubic.svg 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 {\displaystyle x^{5}-y^{2}-x=0} Curva di De l'Hospital [2] ( x 2 + y 2 ) 2 ( y − 2 ) + y ( 4 x 4 + x 2 + y 2 ) = 0 {\displaystyle (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 {\displaystyle 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 ) ( 2 y − 3 ) − y ( x 2 + y 2 − 2 y ) 2 = 0 {\displaystyle (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 {\displaystyle x^{5}+y^{5}-x=0} Curva a bulbo [6] y 5 + 5 ( x 4 − y 4 − 1 ) = 0 {\displaystyle y^{5}+5(x^{4}-y^{4}-1)=0} Curva di Mutasci [7] x 5 + y 5 − x 4 − y 4 + x y = 0 {\displaystyle 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 + 27 x 2 y 2 = 0 {\displaystyle (x^{2}+y^{2}-1)^{3}+27x^{2}y^{2}=0} Curva atriftaloide[9] x 4 ( x 2 + y 2 ) − ( 3 x 2 − 2 ) 2 = 0 {\displaystyle x^{4}(x^{2}+y^{2})-(3x^{2}-2)^{2}=0} Curva nefroide[10] ( a 2 y 2 + y 2 − 4 ) 3 − 108 y 2 = 0 {\displaystyle (a^{2}y^{2}+y^{2}-4)^{3}-108y^{2}=0} Curva a quadrifoglio obliquo[11] ( x 2 + y 2 ) 3 − 4 x 2 y 2 = 0 {\displaystyle (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 {\displaystyle (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