Degree 2

• Conic section
  Conic section
  In mathematics, a conic section is a curve obtained by intersecting a cone with a plane. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2...
  
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  • Circle
    Circle
    A circle is a simple shape of Euclidean geometry consisting of those points in a plane that are a given distance from a given point, the centre. The distance between any of the points and the centre is called the radius....
    
    
  • Ellipse
    Ellipse
    In geometry, an ellipse is a plane curve that results from the intersection of a cone by a plane in a way that produces a closed curve. Circles are special cases of ellipses, obtained when the cutting plane is orthogonal to the cone's axis...
    
    
  • Parabola
    Parabola
    In mathematics, the parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface...
    
    
  • Hyperbola
    Hyperbola
    In mathematics a hyperbola is a curve, specifically a smooth curve that lies in a plane, which can be defined either by its geometric properties or by the kinds of equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, which are mirror...
    
    
• unit circle
  Unit circle
  In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin in the Cartesian coordinate system in the Euclidean plane...
  
  
• unit hyperbola
  Unit hyperbola
  In geometry, the unit hyperbola is the set of points in the Cartesian plane that satisfies x^2 - y^2 = 1 . In the study of indefinite orthogonal groups, the unit hyperbola forms the basis for an alternative radial lengthWhereas the unit circle surrounds its center, the unit hyperbola requires the...
  
  

Degree 3

• Folium of Descartes
  Folium of Descartes
  In geometry, the Folium of Descartes is an algebraic curve defined by the equationx^3 + y^3 - 3 a x y = 0 \,.It forms a loop in the first quadrant with a double point at the origin and asymptotex + y + a = 0 \,.It is symmetrical about y = x....
  
  
• Cissoid of Diocles
  Cissoid of Diocles
  In geometry, the cissoid of Diocles is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio. In particular, it can be used to double a cube. It can be defined as the cissoid of a circle and a line tangent to it with respect to the...
  
  
• Conchoid of de Sluze
  Conchoid of de Sluze
  The conchoid of de Sluze is a family of plane curves studied in 1662 by René François Walter, baron de Sluze.The curves are defined by the polar equationr=\sec\theta+a\cos\theta \,....
  
  
• Right strophoid
• Semicubical parabola
• Serpentine curve
• Trident curve
  Trident curve
  In mathematics, a trident curve is any member of the family of curves that have the formula:xy+ax^3+bx^2+cx=d\,...
  
  
• Trisectrix of Maclaurin
  Trisectrix of Maclaurin
  In geometry, the trisectrix of Maclaurin is a cubic plane curve notable for its trisectrix property, meaning it can be used to trisect an angle. It can be defined as locus of the points of intersection of two lines, each rotating at a uniform rate about separate points, so that the ratio of the...
  
  
• Tschirnhausen cubic
  Tschirnhausen cubic
  In geometry, Tschirnhausen cubic, is a plane curve defined by the polar equationr = a\sec^3.-History:The curve was studied by von Tschirnhaus, de L'Hôpital and Catalan. It was given the name Tschirnhausen cubic in a 1900 paper by R C Archibald, though it is sometimes known as de L'Hôpital's cubic...
  
  
• Witch of Agnesi
  Witch of Agnesi
  In mathematics, the witch of Agnesi , sometimes called the witch of Maria Agnesi is the curve defined as follows.Starting with a fixed circle, a point O on the circle is chosen. For any other point A on the circle, the secant line OA is drawn. The point M is diametrically opposite O. The line OA...
  
  

Degree 4

• Ampersand curve
  Ampersand curve
  In mathematics, the ampersand curve is a quartic plane curve given by the equation:\ =4^2.It is an algebraic curve of genus zero, with three ordinary double points, all in the real plane.-References:...
  
  
• Bean curve
  Bean curve
  The bean curve is a quartic plane curve with the equation:x^4+x^2y^2+y^4=x \,The bean curve is a plane algebraic curve of genus zero. It has one singularity at the origin, an ordinary triple point....
  
  
• Bicorn
  Bicorn
  In geometry, the bicorn, also known as a cocked hat curve due to its resemblance to a bicorne, is a rational quartic curve defined by the equationy^2=^2.It has two cusps and is symmetric about the y-axis.-History:...
  
  
• Bow curve
  Bow curve
  thumb|A bow curveIn mathematics, the bow curve is a quartic plane curve with the equation:x^4=x^2y-y^3. \,The bow curve has a single triple point at x=0, y=0, and consequently is a rational curve, with genus zero....
  
  
• Bullet-nose curve
• Cruciform curve
  Cruciform curve
  The cruciform curve, or cross curve is a quartic plane curve given by the equationx^2y^2-b^2x^2-a^2y^2=0 \,where a and b are two parameters determining the shape of the curve....
  
  
• Deltoid curve
  Deltoid curve
  In geometry, a deltoid, also known as a tricuspoid or Steiner curve, is a hypocycloid of three cusps. In other words, it is the roulette created by a point on the circumference of a circle as it rolls without slipping along the inside of a circle with three times its radius...
  
  
• Devil's curve
  Devil's curve
  In geometry, a Devil's curve is a curve defined in the Cartesian plane by an equation of the formy^2 = x^2 .Devil's curves were studied heavily by Gabriel Cramer...
  
  
• Hippopede
  Hippopede
  In geometry, a hippopede is a plane curve determined by an equation of the form^2=cx^2+dy^2,...
  
  
• Kampyle of Eudoxus
• Kappa curve
  Kappa curve
  In geometry, the kappa curve or Gutschoven's curve is a two-dimensional algebraic curve resembling the Greek letter κ .Using the Cartesian coordinate system it can be expressed as:x^2=a^2y^2or, using parametric equations:...
  
  
• Lemniscate of Booth
• Lemniscate of Gerono
  Lemniscate of Gerono
  In algebraic geometry, the lemniscate of Gerono, or lemnicate of Huygens, or figure-eight curve, is a plane algebraic curve of degree four and genus zero shaped like an \infty symbol, or figure eight...
  
  
• Lemniscate of Bernoulli
  Lemniscate of Bernoulli
  In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2a from each other as the locus of points P so that PF1·PF2 = a2. The curve has a shape similar to the numeral 8 and to the ∞ symbol. Its name is from lemniscus, which is...
  
  
• Limaçon
  Limaçon
  In geometry, a limaçon or limacon , also known as a limaçon of Pascal, is defined as a roulette formed when a circle rolls around the outside of a circle of equal radius. It can also be defined as the roulette formed when a circle rolls around a circle with half its radius so that the smaller...
  
  
  • Cardioid
    Cardioid
    A cardioid is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius. It is therefore a type of limaçon and can also be defined as an epicycloid having a single cusp...
    
    
  • Limaçon trisectrix
    Limaçon trisectrix
    In geometry, a limaçon trisectrix is a member of the Limaçon family of curves which has the trisectrix, or angle trisection, property...
    
    
• Trifolium curve

Degree 5

• Quintic of l'Hospital http://www.mathcurve.com/courbes2d/quintique%20de%20l'hospital/quintique%20de%20l'hospital.shtml

Families of variable degree

• Epicycloid
  Epicycloid
  In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called an epicycle — which rolls without slipping around a fixed circle...
  
  
• Epispiral
• Epitrochoid
  Epitrochoid
  An epitrochoid is a roulette traced by a point attached to a circle of radius r rolling around the outside of a fixed circle of radius R, where the point is a distance d from the center of the exterior circle....
  
  
• Hypocycloid
  Hypocycloid
  In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle...
  
  
• Lissajous curve
  Lissajous curve
  In mathematics, a Lissajous curve , also known as Lissajous figure or Bowditch curve, is the graph of a system of parametric equationswhich describe complex harmonic motion...
  
  
• Poinsot's spirals
• Rational normal curve
• Rose curve
  Rose (mathematics)
  In mathematics, a rose or rhodonea curve is a sinusoid plotted in polar coordinates. Up to similarity, thesecurves can all be expressed by a polar equation of the form\!\,r=\cos.If k is an integer, the curve will be rose shaped with...
  
  

Curves of genus one

• Bicuspid curve
  Bicuspid curve
  The biscuspid is a quartic plane curve with the equation^2+^2=0 \,where a determines the size of the curve.The bicuspid has only the two nodes as singularities, and hence is a curve of genus one.-References:...
  
  
• Cassini oval
  Cassini oval
  A Cassini oval is a plane curve defined as the set of points in the plane such that the product of the distances to two fixed points is constant. This is related to an ellipse, for which the...
  
  
• Cassinoide
• Cubic curve
• Elliptic curve
  Elliptic curve
  In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O. An elliptic curve is in fact an abelian variety — that is, it has a multiplication defined algebraically with respect to which it is a group — and O serves as the identity...
  
  
• Watt's curve
  Watt's curve
  In mathematics, Watt's curve is a tricircular plane algebraic curve of degree six. It is generated by two circles of radius b with centers distance 2a apart In mathematics, Watt's curve is a tricircular plane algebraic curve of degree six. It is generated by two circles of radius b with centers...
  
  

Curves with genus greater than one

• Butterfly curve (algebraic)
  Butterfly curve (algebraic)
  In mathematics, the algebraic butterfly curve is a plane algebraic curve of degree six, given by the equationx^6 + y^6 = x^2.\,\!The butterfly curve has a single singularity with delta invariant three, which means it is a curve of genus seven...
  
  
• Elkies trinomial curves
  Elkies trinomial curves
  thumb|Elkies trinomial curve C168In number theory, the Elkies trinomial curves are certain hyperelliptic curves constructed by Noam Elkies which have the property that rational points on them correspond to trinomial polynomials giving an extension of Q with particular Galois groups.One curve, C168,...
  
  
• Hyperelliptic curve
• Klein quartic
  Klein quartic
  In hyperbolic geometry, the Klein quartic, named after Felix Klein, is a compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order 168 orientation-preserving automorphisms, and 336 automorphisms if orientation may be reversed...
  
  
• Classical modular curve
  Classical modular curve
  In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equationwhere for the j-invariant j,is a point on the curve. The curve is sometimes called X0, though often that is used for the abstract algebraic curve for which there exist various models...
  
  
• Bolza surface
  Bolza surface
  In mathematics, the Bolza surface, alternatively, complex algebraic Bolza curve , is a compact Riemann surface of genus 2 with the highest possible order of the conformal automorphism group in this genus, namely 48. An affine model for the Bolza surface can be obtained as the locus of the...
  
  
• Macbeath surface
  Macbeath surface
  In Riemann surface theory and hyperbolic geometry, the Macbeath surface, also called Macbeath's curve or the Fricke–Macbeath curve, is the genus-7 Hurwitz surface....
  
  

Curve families with variable genus

• Polynomial lemniscate
  Polynomial lemniscate
  In mathematics, a polynomial lemniscate or polynomial level curve is a plane algebraic curve of degree 2n, constructed from a polynomial p with complex coefficients of degree n....
  
  
• Fermat curve
  Fermat curve
  In mathematics, the Fermat curve is the algebraic curve in the complex projective plane defined in homogeneous coordinates by the Fermat equationX^n + Y^n = Z^n.\ Therefore in terms of the affine plane its equation is...
  
  
• Sinusoidal spiral
  Sinusoidal spiral
  In geometry, the sinusoidal spirals are a family of curves defined by the equation in polar coordinatesr^n = a^n \cos\,where a is a nonzero constant and n is a rational number other than 0...
  
  
• Superellipse
  Superellipse
  A superellipse is a geometric figure defined in the Cartesian coordinate system as the set of all points withwhere n, a and b are positive numbers....
  
  
• Hurwitz surface
  Hurwitz surface
  In Riemann surface theory and hyperbolic geometry, a Hurwitz surface, named after Adolf Hurwitz, is a compact Riemann surface with preciselyautomorphisms, where g is the genus of the surface. This number is maximal by virtue of Hurwitz's theorem on automorphisms...
  
  

Transcendental curves

• Bowditch curve
• Brachistochrone
• Butterfly curve (transcendental)
  Butterfly curve (transcendental)
  The butterfly curve is a transcendental plane curve discovered by Temple H. Fay. The curve is given by the following parametric equations:x = \sin \left...
  
  
• Catenary
  Catenary
  In physics and geometry, the catenary is the curve that an idealised hanging chain or cable assumes when supported at its ends and acted on only by its own weight. The curve is the graph of the hyperbolic cosine function, and has a U-like shape, superficially similar in appearance to a parabola...
  
  
• Clélies
  Clélies
  thumbnail|Some examples of the curve‎In mathematics, a Clélies is a curve parameterized byx=a \sin \cosy=a \sin \sinz=a \cos...
  
  
• Cochleoid
• Cycloid
  Cycloid
  A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line.It is an example of a roulette, a curve generated by a curve rolling on another curve....
  
  
• Horopter
  Horopter
  In studies of binocular vision the horopter is the locus of points in space that yield single vision. This can be defined theoretically as the points in space which are imaged on corresponding points in the two retinas, that is, on anatomically identical points...
  
  
• Isochrone
  • Isochrone of Huygens (Tautochrone)
  • Isochrone of Leibnizhttp://www.mathcurve.com/courbes2d/isochron/isochrone%20leibniz
  • Isochrone of Varignonhttp://www.mathcurve.com/courbes2d/isochron/isochrone%20varignon
• Lamé curve
• Pursuit curve
• Rhumb line
  Rhumb line
  In navigation, a rhumb line is a line crossing all meridians of longitude at the same angle, i.e. a path derived from a defined initial bearing...
  
  
• Spiral
  Spiral
  In mathematics, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point.-Spiral or helix:...
  
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  • Archimedean spiral
    Archimedean spiral
    The Archimedean spiral is a spiral named after the 3rd century BC Greek mathematician Archimedes. It is the locus of points corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line which rotates with constant angular velocity...
    
    
  • Cornu spiral
  • Cotes' spiral
  • Fermat's spiral
  • Galileo's spiral http://www.mathcurve.com/courbes2d/galilee/galilee.shtml
  • Hyperbolic spiral
    Hyperbolic spiral
    thumb|200px|right|Hyperbolic spiral for a=2A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. A hyperbolic spiral is the opposite of an Archimedean spiral and are a type of Cotes' spiral.It has the polar equation:...
    
    
  • Lituus
    Lituus (mathematics)
    thumb|300px|Branch for positive rIn mathematics, a lituus is a spiral in which the angle is inversely proportional to the square of the radius .r^2\theta = k \,...
    
    
  • Logarithmic spiral
    Logarithmic spiral
    A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature. The logarithmic spiral was first described by Descartes and later extensively investigated by Jacob Bernoulli, who called it Spira mirabilis, "the marvelous...
    
    
  • Nielsen's spiral
• Syntractrix
• Tractrix
  Tractrix
  Tractrix is the curve along which a small object moves, under the influence of friction, when pulled on a horizontal plane by a piece of thread and a puller that moves at a right angle to the initial line between the object and the puller at an infinitesimal speed. It is therefore a curve of...
  
  
• Trochoid
  Trochoid
  thumb|290px|right|A [[cycloid]] generated by a rolling circleTrochoid is the word created by Gilles de Roberval for the curve described by a fixed point as a circle rolls along a straight line...
  
  

Piecewise

Piecewise

On mathematics, a piecewise-defined function is a function whose definition changes depending on the value of the independent variable...

 constructions

• Bézier curve
  Bézier curve
  A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case....
  
  
• Splines
  Spline (mathematics)
  In mathematics, a spline is a sufficiently smooth piecewise-polynomial function. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low-degree polynomials, while avoiding Runge's phenomenon for higher...
  
  
  • B-spline
    B-spline
    In the mathematical subfield of numerical analysis, a B-spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. B-splines were investigated as early as the nineteenth century by Nikolai Lobachevsky...
    
    
  • Nonuniform rational B-spline
    Nonuniform rational B-spline
    Non-uniform rational basis spline is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces which offers great flexibility and precision for handling both analytic and freeform shapes.- History :Development of NURBS began in the 1950s by...
    
    
• Ogee
  Ogee
  An ogee is a curve , shaped somewhat like an S, consisting of two arcs that curve in opposite senses, so that the ends are parallel....
  
  
• Loess curve
• Lowess
• Polygonal curve
  Polygonal chain
  A polygonal chain, polygonal curve, polygonal path, or piecewise linear curve, is a connected series of line segments. More formally, a polygonal chain P is a curve specified by a sequence of points \scriptstyle called its vertices so that the curve consists of the line segments connecting the...
  
  
  • Maurer rose
    Maurer rose
    In geometry, the concept of a Maurer rose was introduced by Peter M. Maurer in his article titled A Rose is a Rose.... A Maurer rose consists of some lines that connect some points on a rose curve.-Definition:...
    
    
• Reuleaux triangle
  Reuleaux triangle
  A Reuleaux triangle is, apart from the trivial case of the circle, the simplest and best known Reuleaux polygon, a curve of constant width. The separation of two parallel lines tangent to the curve is independent of their orientation...
  
  

Fractal curves

• Blancmange curve
  Blancmange curve
  In mathematics, the blancmange curve is a fractal curve constructible by midpoint subdivision. It is also known as the Takagi curve, after Teiji Takagi who described it in 1903, or as the Takagi–Landsberg curve, a generalization of the curve. The name blancmange comes from its resemblance to a...
  
  
• De Rham curve
  De Rham curve
  In mathematics, a de Rham curve is a certain type of fractal curve named in honor of Georges de Rham.The Cantor function, Césaro curve, Minkowski's question mark function, the Lévy C curve, the blancmange curve and the Koch curve are all special cases of the general de Rham...
  
  
• Dragon curve
  Dragon curve
  A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems.-Heighway dragon:...
  
  
• Koch curve
  Koch snowflake
  The Koch snowflake is a mathematical curve and one of the earliest fractal curves to have been described...
  
  
• Lévy C curve
  Lévy C curve
  In mathematics, the Lévy C curve is a self-similar fractal that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and G...
  
  
• space-filling curve
  Space-filling curve
  In mathematical analysis, a space-filling curve is a curve whose range contains the entire 2-dimensional unit square...
  
  , also known as the Peano curve
• Sierpiński curve
  Sierpinski curve
  Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n \rightarrow \infty completely fill the unit square: thus their limit curve, also called the Sierpiński curve, is an example of a space-filling...
  
  

Curves in space

• Conchospiral
  Conchospiral
  In mathematics, a conchospiral is a three-dimensional spiral. In cylindrical coordinates, it is described by the parametric equations:r=\mu^t a\theta=tz=\mu^t c.The projection of a conchospiral on the -plane is a logarithmic spiral....
  
  
• Helix
  Helix
  A helix is a type of smooth space curve, i.e. a curve in three-dimensional space. It has the property that the tangent line at any point makes a constant angle with a fixed line called the axis. Examples of helixes are coil springs and the handrails of spiral staircases. A "filled-in" helix – for...
  
  
• Seiffert's spiral http://mathworld.wolfram.com/SeiffertsSphericalSpiral.html
• Slinky spiral http://mathworld.wolfram.com/Slinky.html
• Twisted cubic
  Twisted cubic
  In mathematics, a twisted cubic is a smooth, rational curve C of degree three in projective 3-space P3. It is a fundamental example of a skew curve. It is essentially unique, up to projective transformation...
  
  
• Viviani's curve
  Viviani's curve
  In mathematics, particularly geometry, Viviani's curve, also known as Viviani's window, is a space curve named after the Italian mathematician Vincenzo Viviani, the intersection of a sphere with a cylinder that is tangent to the sphere and passes through the center of the sphere.- Formula :The...
  
  

Curves generated by other curves

• Caustic
  Caustic (mathematics)
  In differential geometry and geometric optics, a caustic is the envelope of rays either reflected or refracted by a manifold. It is related to the optical concept of caustics...
  
   including Catacaustic and Diacaustic
• Cissoid
  Cissoid
  In geometry, a cissoid is a curve generated from two given curves C1, C2 and a point O . Let L be a variable line passing through O and intersecting C1 at P1 and C2 at P2. Let P be the point on L so that OP = P1P2...
  
  
• Conchoid
  Conchoid (mathematics)
  A conchoid is a curve derived from a fixed point O, another curve, and a length d. For every line through O that intersects the given curve at A the two points on the line which are d from A are on the conchoid. The conchoid is, therefore, the cissoid of a circle with center O and the given curve...
  
  
• Evolute
  Evolute
  In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. Equivalently, it is the envelope of the normals to a curve....
  
  
• Glissette
• Inverse curve
  Inverse curve
  In geometry, an inverse curve of a given curve C is the result of applying an inverse operation to C. Specifically, with respect to a fixed circle with center O and radius k the inverse of a point Q is the point P for which P lies on the ray OQ and OP·PQ = k2...
  
  
• Involute
  Involute
  In the differential geometry of curves, an involute is a curve obtained from another given curve by attaching an imaginary taut string to the given curve and tracing its free end as it is wound onto that given curve; or in reverse, unwound. It is a roulette wherein the rolling curve is a straight...
  
  
• Isoptic
  Isoptic
  In the geometry of curves, an isoptic is the set of points for which two tangents of a given curve meet at a given angle. The orthoptic is the isoptic whose given angle is a right angle....
  
   including Orthoptic
• Orthotomic
• Negative pedal curve
  Negative pedal curve
  In the plane, for every point X other than P there is a unique line through X perpendicular to XP. For a given curve in the plane and a given fixed point P, called the pedal point, the negative pedal curve is the envelope of the lines XP for which X lies on the given curve.The negative pedal curve...
  
  
• Pedal curve
  Pedal curve
  In the differential geometry of curves, a pedal curve is a curve derived by construction from a given curve ....
  
  
• Parallel curve
• Radial curve
• Roulette
  Roulette (curve)
  In the differential geometry of curves, a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, and involutes....
  
  
• Strophoid
  Strophoid
  In geometry, a strophoid is a curve generated from a given curve C and points A and O as follows: Let L be a variable line passing through O and intersecting C at K. Now let P1 and P2 be the two points on L whose distance from K is the same as the distance from A to K...
  
  

Named graphs

• Backward bending supply curve of labour
  Backward bending supply curve of labour
  The backward-bending supply curve of labour is a thesis that claims that as wages increase, people will substitute leisure for working. Eventually, wages can increase to a point where less labour is offered in the market.-Overview:...
  
  
• Contract curve
  Contract curve
  In microeconomics, the contract curve is the set of points, representing final allocations of two goods between two people, that could occur as a result of voluntary trading between those people given their initial allocations of the goods...
  
  
• Cost curve
  Cost curve
  In economics, a cost curve is a graph of the costs of production as a function of total quantity produced. In a free market economy, productively efficient firms use these curves to find the optimal point of production , and profit maximizing firms can use them to decide output quantities to...
  
  
• Demand curve
  Demand curve
  In economics, the demand curve is the graph depicting the relationship between the price of a certain commodity, and the amount of it that consumers are willing and able to purchase at that given price. It is a graphic representation of a demand schedule...
  
  
  • Compensated demand curve
• Engel curve
  Engel curve
  An Engel curve describes how household expenditure on a particular good orservice varies with household income. There are two varieties of Engel Curves. Budget share Engel Curves describe how the proportion of household income spent on a good varies with income. Alternatively, Engel curves can also...
  
  
• Indifference curve
  Indifference curve
  In microeconomic theory, an indifference curve is a graph showing different bundles of goods between which a consumer is indifferent. That is, at each point on the curve, the consumer has no preference for one bundle over another. One can equivalently refer to each point on the indifference curve...
  
  
• Laffer curve
  Laffer curve
  In economics, the Laffer curve is a theoretical representation of the relationship between government revenue raised by taxation and all possible rates of taxation. It is used to illustrate the concept of taxable income elasticity . The curve is constructed by thought experiment...
  
  
• Lorenz curve
  Lorenz curve
  In economics, the Lorenz curve is a graphical representation of the cumulative distribution function of the empirical probability distribution of wealth; it is a graph showing the proportion of the distribution assumed by the bottom y% of the values...
  
  
• Phillips curve
  Phillips curve
  In economics, the Phillips curve is a historical inverse relationship between the rate of unemployment and the rate of inflation in an economy. Stated simply, the lower the unemployment in an economy, the higher the rate of inflation...
  
  
• J-curve

• Bathtub curve
  Bathtub curve
  The bathtub curve is widely used in reliability engineering. It describes a particular form of the hazard function which comprises three parts:*The first part is a decreasing failure rate, known as early failures....
  
  
• Bell curve
  Bell curve
  Bell curve can refer to:* A Gaussian function, a specific kind of function whose graph is a bell-shaped curve* Normal distribution, whose density function is a Gaussian function...
  
  
• Calibration curve
  Calibration curve
  In analytical chemistry, a calibration curve is a general method for determining the concentration of a substance in an unknown sample by comparing the unknown to a set of standard samples of known concentration...
  
  
• Cardiac function curve
  Cardiac function curve
  A cardiac function curve is a graph showing the relationship between right atrial pressure and cardiac output .Superimposition of the cardiac function curve and venous return curve is used in one hemodynamic model.- Shape of curve :...
  
  
• Dose-response curve
• Fish curve
• Fletcher-Munson curve
• Forgetting curve
  Forgetting curve
  The forgetting curve hypothesizes the decline of memory retention in time. A related concept is the strength of memory that refers to the durability that memory traces in the brain. The stronger the memory, the longer period of time that a person is able to recall it...
  
  
• Gompertz curve
• Growth curve
  Growth curve
  A growth curve is an empirical model of the evolution of a quantity over time. Growth curves are widely used in biology for quantities such as population size, body height or biomass...
  
  
• Hubbert curve
  Hubbert curve
  The Hubbert curve is an approximation of the production rate of a resource over time. It is a symmetric logistic distribution curve, often confused with the "normal" gaussian function. It first appeared in "Nuclear Energy and the Fossil Fuels," geophysicist M...
  
  
• Kruithof curve
  Kruithof curve
  Named after the Dutch physicist Arie Andries Kruithof, the Kruithof curve relates the illuminance and colour temperature of visually pleasing light sources...
  
  
• Learning curve
  Learning curve
  A learning curve is a graphical representation of the changing rate of learning for a given activity or tool. Typically, the increase in retention of information is sharpest after the initial attempts, and then gradually evens out, meaning that less and less new information is retained after each...
  
  
• Light curve
  Light curve
  In astronomy, a light curve is a graph of light intensity of a celestial object or region, as a function of time. The light is usually in a particular frequency interval or band...
  
  
• Logistic curve
• Oxyhemoglobin dissociation curve
• Paschen curve
• Robinson-Dadson curves
  Robinson-Dadson curves
  The Robinson–Dadson curves are one of many sets of equal-loudness contours for the human ear, determined experimentally by D. W. Robinson and R. S. Dadson, and reported in a paper entitled "A re-determination of the equal-loudness relations for pure tones" in Br. J. Appl. Phys...
  
  
• Rotation curve
• Species-area curve
  Species-area curve
  In ecology, a species-area curve is a relationship between the area of a habitat, or of part of a habitat, and the number of species found within that area. Larger areas tend to contain larger numbers of species, and empirically, the relative numbers seem to follow systematic mathematical...
  
  
• Stress-strain curve
  Stress-strain curve
  During tensile testing of a material sample, the stress–strain curve is a graphical representation of the relationship between stress, derived from measuring the load applied on the sample, and strain, derived from measuring the deformation of the sample, i.e. elongation, compression, or distortion...
  
  

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