Plane curves

Tractrix

In geometry, a tractrix (from Latin trahere 'to pull, drag'; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by a line segment attached to a pulling point (the tractor) 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 pursuit. It was first introduced by Claude Perrault in 1670, and later studied by Isaac Newton (1676) and Christiaan Huygens (1693). (Wikipedia).

Tractrix
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Related pages

Differential equation | Origin (mathematics) | Inverse hyperbolic secant | Gottfried Wilhelm Leibniz | Surface of revolution | Curve | Eugenio Beltrami | Hyperbolic geometry | Involute | Pythagorean theorem | Trapezoid | Pseudosphere | Arc length | Sign function | Line segment | Christiaan Huygens | Cusp (singularity) | Ordinary differential equation | Catenary | Right angle | Evolute | Asymptote | Dini's surface | Envelope (mathematics) | Integral | Infinitesimal | Trigonometric functions | Area | Natural logarithm | Locus (mathematics) | Hyperbolic spiral | Gaussian curvature | Hyperbolic functions | Isaac Newton | Circle | Tangent