Glissette Explained

In geometry, a glissette is a curve determined by either the locus of any point, or the envelope of any line or curve, that is attached to a curve that slides against or along two other fixed curves.

Examples

Ellipse

A basic example is that of a line segment of which the endpoints slide along two perpendicular lines. The glissette of any point on the line forms an ellipse.[1]

Astroid

Similarly, the envelope glissette of the line segment in the example above is an astroid.[2]

Conchoid

Any conchoid may be regarded as a glissette, with a line and one of its points sliding along a given line and fixed point.[3]

External links

Notes and References

  1. Book: Besant. William. Notes on Roulettes and Glissettes. 1890. Deighton, Bell. 51. 6 April 2017.
  2. Book: Yates. Robert C.. A Handbook on Curves and their Properties. 1947. Edwards Bros.. Ann Arbor, MI. 109. 6 April 2017.
  3. Book: Lockwood. E. H.. A Book of Curves. 1961. Cambridge University Press. 162. 6 April 2017. 21 February 2017. https://web.archive.org/web/20170221212535/http://www.aproged.pt/biblioteca/ABookofCurvesLockwood.pdf. live.