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 ...

Mar 5, 2025 · From its definition, the tractrix is precisely the catenary involute described by a point initially on the vertex (so the catenary is the tractrix evolute). The tractrix is sometimes called the tractory or equitangential curve.

A tractrix curve is the curve created by a moving object that is dragged along a horizontal plane by a taut string or chain. One of the earliest demonstrations of the tractrix curve was in 1693 by French architect Claude Perrault.

The tractrix is the path you've made in the mud with your human-powered tractor. A rough figure is Figure 1.1. Mathematically, the length of the rope remains 1 m. and it acts to pull the book tangent to the furrow in the mud. We will use standard …

May 26, 1999 · The tractrix is the Catenary Involute described by a point initially on the vertex. It is sometimes called the Tractory or Equitangential Curve. The tractrix was first studied by Huygens in 1692, who gave it the name ``tractrix.'' Later, Leibniz, Johann …

Feb 25, 2021 · The notion of a tractrix generalizes to the case when the end of the segment does not move along a straight line, but along some given curve; the curve obtained in this way is called the trajectory of the given curve.

Feb 9, 2018 · 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.

Tracktrix (equitangential curve, tractory) is a curve such that any tangent segment from the tangent point on the curve to the curve's asymptote have constant length. Suppose a bicycle with front wheel at the {0,0} and back wheel at {0,1}. The front wheel is turned to head East. The track traced by the back wheel is the tractrix.

In geometry, a tractrix (; 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.

[The] tractrix (from the Latin verb trahere “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 tractor (pulling) point that moves at a right angle to the initial line between the object and the puller at an ...