
tractrix
Sign in to savethumb|500px|Tractrix created by the end of a pole (lying flat on the ground). Its other end is first pushed then dragged by a finger as it spins out to one side.
~7 min read
Encyclopedic overview
9 sectionsContents
- Mathematical derivation
- Basis of the tractrix
- Properties
- Practical application
- Drawing machines
- See also
- Notes
- References
- External links
thumb|500px|Tractrix created by the end of a pole (lying flat on the ground). Its other end is first pushed then dragged by a finger as it spins out to one side.
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. 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).
Excerpted from Wikipedia’s “tractrix” article, available under the CC BY-SA 4.0 licence.