tractrix curve

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• Tractrix — (from the Latin verb trahere pull, drag ), or tractrice, 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… …   Wikipedia

• Tractrix — Tract rix, n. [NL. See {Tractor}.] (Geom.) A curve such that the part of the tangent between the point of tangency and a given straight line is constant; so called because it was conceived as described by the motion of one end of a tangent line… …   The Collaborative International Dictionary of English

• Curve of pursuit — A curve of pursuit is a curve constructed by analogy to having a point or points which represents pursuers and pursuees, and the curve of pursuit is the curve traced by the pursuers. With the paths of the pursuer and pursuee parametrised in time …   Wikipedia

• tractrix — /trak triks/, n., pl. tractrices /trak truy seez, trak treuh seez /. Geom. a curve whose tangents are all of equal length; the involute of a catenary. [1720 30; < NL, equiv. to L trac , var. s. of trahere to draw, pull + trix TRIX] * * * …   Universalium

• tractrix — noun The curve that satisfies the following property: That segment of the tangent line that lies between the point of tangency and a fixed line has length independent of the point of tangency chosen …   Wiktionary

• Pursuit curve — Curves of pursuit with different parameters A curve of pursuit is a curve constructed by analogy to having a point or points which represents pursuers and pursuees, and the curve of pursuit is the curve traced by the pursuers. With the paths of… …   Wikipedia

• Catenary — This article is about the mathematical curve. For other uses, see Catenary (disambiguation). Chainette redirects here. For the wine grape also known as Chainette, see Cinsaut. A hanging chain forms a catenary …   Wikipedia

• List of curves — This is a list of curves, by Wikipedia page. See also list of curve topics, list of surfaces, Riemann surface. Algebraic curves*Cubic plane curve *Quartic plane curve *Quintic plane curve *Sextic plane curveRational curves*Ampersand curve… …   Wikipedia

• Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

• Cissoid of Diocles — construction 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… …   Wikipedia

• Involute — In the differential geometry of curves, an involute of a smooth curve is another curve, obtained 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 …   Wikipedia