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Encyclopedia > List of curves

This is a list of curves, by Wikipedia page. See also list of curve topics. In mathematics, the concept of a curve tries to capture the intuitive idea of a geometrical one-dimensional and continuous object. ... This is a list of curve topics in mathematics, by Wikipedia page. ...

Contents


Classical curves

A quartic curve with equation: Categories: Curves ... Astroid Astroid, how it is formed This page is about the geometrical concept. ... Also atriphtothlassic curve. ... A quartic curve of the equation: Categories: Curves ... Cocked hat curve. ... The premolar teeth or bicuspids are transitional teeth located between the canine and molar teeth. ... A quartic curve with the equation: Categories: Curves ... A type of Lissajous curve: Categories: Curves ... A Brachistochrone curve, or curve of fastest descent, is the curve between two points that is covered in the least time by a body that starts at the first point with zero speed and passes down along the curve to the second point, under the action of constant gravity and... A unicursal quartic curve with 3 points of inflexion. ... A sextic plane curve given by the equation: Categories: Curves ... In geometry, the cardioid is an epicycloid which has one and only one cusp. ... Or cassinian oval. ... In mathematics, the catenary is the shape of a hanging flexible chain or cable when supported at its ends and acted upon by a uniform gravitational force (its own weight). ... In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a fixed point, called the centre. ... Illustration of a unit circle. ... The cissoid of Diocles is an unbounded plane curve with a single cusp, which is symmetric about the line of tangency of the cusp, and whose pair of symmetrical branches both approach the same asymptote (but in opposite directions) as a point moving along the cissoid moves farther away from... A curve with the formula Categories: Curves | Geometry stubs ... A cochleoid is a snail-shaped curve similar to a strophoid. ... The conchoid(s) of de Sluze is a family of plane curves studied in 1662 by René François Walter, baron de Sluze. ... In mathematics, a conic section (or just conic) is a curved locus of points, fby intersecting a cone with a plane. ... In mathematics, an ellipse (from the Greek for absence) is a plane algebraic curve where the sum of the distances from any point on the curve to two fixed points is constant. ... A parabola A parabola (from the Greek: παραβολή) is a conic section generated by the intersection of a cone and a plane tangent to the cone or parallel to some plane tangent to the cone. ... A graph of a hyperbola, where h = k = 0 and a = b = 2. ... Or cross curve. ... Cycloid (red) generated by a rolling circle A cycloid is the curve defined by a fixed point on a wheel as it rolls, or, more precisely, the locus of a point on the rim of a circle rolling along a straight line. ... Categories: Curves | Math stubs ... The inverse of the rose curve: Categories: Curves | Geometry stubs ... In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called epicycle — which rolls around without slipping around a fixed circle. ... An epitrochoid is a roulette traced by a point attached to a circle of radius b rolling around the outside of a fixed circle of radius a, where the point is a distance h from the center of the exteriour circle. ... A curve: with asymptote x+y+a=0 Categories: Curves | Geometry stubs ... In geometry, a hypocycloid is a special plane curve, a roulette, generated by the trace of a fixed point on a small circle that rolls within a larger circle. ... A helix (pl: helices), from the Greek word έλικας/έλιξ, is a twisted shape like a spring, screw or a spiral staircase. ... The Hessian curve is a curve similar to Folium of Descartes. ... Or horse fetter. ... The horopter is a 3D curve that can be defined as the set of points for which the light falls on corresponding areas in the two retinas, that is, anatomically identical points. ... A tautochrone or isochrone curve is the curve for which the time taken by a particle sliding down it under uniform gravity to its lowest point is independent of its starting point. ... A tautochrone curve is the curve for which the time taken by a particle sliding down it under uniform gravity to its lowest point is independent of its starting point. ... A type of lemniscate curve: or Categories: Curves | Geometry stubs ... The kappa curve has two vertical asymptotes. ... A family of curves with formula: Categories: Curves | Geometry stubs ... In mathematics, a lemniscate is a type of curve described by a Cartesian equation of the form: Graphing this equation produces a curve similar to . ... In mathematics, limaçons, also known as limaçons of Pascal (pronounced with a soft c), are heart-shaped mathematical curves. ... A line, or straight line, is, roughly speaking, an (infinitely) thin, (infinitely) long, straight geometrical object, i. ... In mathematics, a Lissajous curve (Lissajous figure or Bowditch curve) is the graph of the system of parametric equations which describes complex harmonic motion. ... The nephroid is an epicycloid of two cusps, with n=3. ... In the differential geometry of curves, a pedal curve is a curve derived by construction from a given curve (as is, for example, the involute). ... A type of rose curve with n=2. ... In mathematics, a rose is a sinusoid plotted in polar coordinates. ... In the differential geometry of curves, a roulette is the general concept behind cycloids, epicycloids, hypocycloids, and involutes. ... A catenary-generated curve in the form of a cross-section of a sail filled by wind. ... A curve: where ab>0 Categories: Curves | Geometry stubs ... A curve: or Categories: Curves | Geometry stubs ... In mathematics, a spiral is a curve which turns around some central point or axis, getting progressively closer to or farther from it, depending on which way you follow the curve. ... An Archimedean spiral is a curve which in polar coordinates (r, θ) can be described by the equation with real numbers a and b. ... In mathematics and optics, the two Fresnel integrals, S(x) and C(x) arise in the description of near field Fresnel diffraction phenomena, and are the integrals defined as follows: . Some may use π t2/2 instead of t2, in which case the S(x) and C(x) above should... In mathematics and optics, the two Fresnel integrals, S(x) and C(x) arise in the description of near field Fresnel diffraction phenomena, and are the integrals defined as follows: . Some may use π t2/2 instead of t2, in which case the S(x) and C(x) above should... A space curve with parametric equations: External Link http://mathworld. ... Fermats spiral (also known as a parabolic spiral) follows the equation It is a type of Archimedean spiral. ... A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. ... A lituus (Latin for crozier) is a spiral in which (in polar coordinates) the angle is inversely proportional to the square of the radius. ... Logarithmic spiral (pitch 10°) Cutaway of a nautilus shell showing the chambers arranged in an approximately logarithmic spiral A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature. ... In botany, phyllotaxis is the arrangement of the leaves on the shoot of a plant. ... A curve: Categories: Curves | Geometry stubs ... A superellipse is a geometrical figure which in a cartesian coordinate system can be described as the set of all points (x, y) with where and and are the radii of the oval shape. ... A curve: where n=0. ... Tractrix (from the Latin verb trahere `pull, drag) is the curve along which a small object (tractens) moves when pulled on a horizontal plane with a piece of thread by a puller (tractendus) which moves rectilinearly, it is therefore a curve of pursuit. ... In anatomy, the heart valves are valves in the heart that prevent blood from flowing the wrong way. ... A curve: Categories: Curves | Geometry stubs ... Trifolium can mean: A type of Clover The universal symbol for radiation and radioactive materials This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. ... This article may be confusing for some readers, and should be edited to enhance clarity. ... A curve described by a fixed point as a circle rolls along a straight line. ... A curve generated by 4 windows on a hemispherical dome so that the dome is rectifiable. ... A sextic generated by running a point along a 3-bar linkage. ... In mathematics, the witch of Agnesi is the graph of the equation or in general: and parametrically: which consists of a small bump at the y intercept. ...

Constructions

Categories: Math stubs | Curves | Fractals ... The first four iterations of the Koch snowflake. ... In mathematics, the Lévy C curve is a self similar fractal that was first described and whose differentiability properties were analysed by E.Cesaro in 1906 and G. Farber in 1910, but now bears the name of French mathematician Paul Lévy, who was the first to describe its...

Curves of mathematical analysis

Analysis is the generic name given to any branch of mathematics which depends upon the concepts of limits and convergence, and studies closely related topics such as continuity, integration, differentiability and transcendental functions. ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In topology, the Jordan curve theorem states that every non-self-intersecting loop in the plane divides the plane into an inside and an outside. The precise mathematical statement is as follows. ... For other uses, see Curve (disambiguation). ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... Space-filling curves or Peano curves are curves, first described by Giuseppe Peano, whose ranges contain the entire 2-dimensional unit square (or the 3-dimensional unit cube). ... A curve which describes a closed path which contains every interior point of a square. ...

Piecewise constructions

In mathematics, a function f(x) of a real number variable x is defined piecewise, if f(x) is given by different expressions on various intervals. ... In the mathematical subfield of numerical analysis a Bézier curve is a parametric curve important in computer graphics. ... In the mathematical subfield of numerical analysis a spline is a special function defined piecewise by polynomials. ... In the mathematical subfield of numerical analysis a B-spline is a special spline curve. ... NURBS, short for non uniform rational B-spline, is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. ... Ogee Arch Ogee is a shape consisting of a concave arc flowing into a convex arc, so forming an S-shaped curve with vertical ends. ... Loess curve is a statistical technique for plotting a smooth curve through a set of data points in a scattergram. ... Lowess is a statistical technique for plotting a smooth curve through a set of data points in a scattergram. ... The Reuleaux triangle is a constant width curve based on an equilateral triangle. ...

Algebraic curves

See also Riemann surface In algebraic geometry, an algebraic curve is an algebraic variety of dimension equal to 1. ... In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold. ...

In mathematics, the projective line is a fundamental example of an algebraic curve. ... In mathematics, a cubic curve is a plane curve C defined by a cubic equation F(X,Y,Z) = 0 applied to homogeneous coordinates [X:Y:Z] for the projective plane; or the inhomogeneous version for the affine space determined by setting Z = 1 in such an equation. ... In mathematics, an elliptic curve is a plane curve defined by an equation of the form y2 = x3 + a x + b, which is non-singular; that is, its graph has no cusps or self-intersections. ... In algebraic geometry, a hyperelliptic curve (over the complex numbers) is an algebraic curve given by an equation of the form where f(x) is a polynomial of degree n > 4 with n distinct roots. ... In mathematics, a modular curve is a Riemann surface, or corresponding algebraic curve, constructed as HΓ where H is the upper half-plane in the complex numbers, and Γ is a Fuchsian group acting on H, with Γ a subgroup of the modular group of integral 2×2 matrices. ... In mathematics, the Fermat curve is the algebraic curve in the complex projective plane defined in homogeneous coordinates (X:Y:Z) by the Fermat equation Xn + Yn = Zn. ... The Klein quartic x3y + y3z + z3x = 0, named after Felix Klein, is a Riemann surface, and an algebraic curve of genus 3 over the complex numbers C. The Klein quartic has automorphism group isomorphic to the projective special linear group G = PSL(2,7). ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In mathematics, a modular curve is a Riemann surface, or corresponding algebraic curve, constructed as HΓ where H is the upper half-plane in the complex numbers, and Γ is a Fuchsian group acting on H, with Γ a subgroup of the modular group of integral 2×2 matrices. ...

Named graphs

Economics

Other The Backward Bending Supply Curve of Labour This curve shows how the change in real wage rates affects the amount of hours worked by employees. ... A contract curve is the set of all points in an Edgeworth box that are Pareto efficient. ... A cost curve is a graph of the costs of production as a function of total quantity produced. ... In economics, the demand curve can be defined as 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. ... In economics, the compensated demand curve that shows how the substitution effect influences the number of units of a good the consumer will purchase. ... In economics, an Engel curve shows how the demand for a good or service changes as the consumers income level changes. ... In microeconomics, an indifference curve is a graph showing combinations of two goods to which an economic agent (such as a consumer or firm) is indifferent, that is, it has no preference for one combination over the other. ... t* represents the rate of taxation at which maximal revenue is generated. ... The Lorenz curve was developed by Max O. Lorenz in 1905 as a graphical representation of income distribution. ... In macroeconomics, the Phillips curve is a supposed inverse relationship between inflation and unemployment. ...


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