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 …

3 天之前 · 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 …

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 …

2021年8月10日 · The Tractrix is a curve that passes through the point (1, 0) of the horizontal axis and has the property that the length of the segment of the tangent line, at any point on the …

2024年10月27日 · The equation of the tractrix along which $P$ travels is: $x = a \map \ln {\dfrac {a \pm \sqrt {a^2 - y^2} } y} \mp \sqrt {a^2 - y^2}$ Parametric Form. Let $S$ be a cord of length …

2021年2月25日 · 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 …

1999年5月26日 · 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 …

[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 …

2018年2月9日 · 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 …

The tractrix can be defined as a tractory of the line, or, which amounts to the same thing, as a curve with constant tangent. The initial problem posed by Claude Perrault was to find the …