Glissette
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
[edit]Ellipse
[edit]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
[edit]Similarly, the envelope glissette of the line segment in the example above is an astroid.[2]
Conchoid
[edit]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]
References
[edit]- ^ Besant, William (1890). Notes on Roulettes and Glissettes. Deighton, Bell. p. 51. Retrieved 6 April 2017.
- ^ Yates, Robert C. (1947). A Handbook on Curves and their Properties. Ann Arbor, MI: Edwards Bros. p. 109. Retrieved 6 April 2017.
- ^ Lockwood, E. H. (1961). A Book of Curves (PDF). Cambridge University Press. p. 162. Archived (PDF) from the original on 21 February 2017. Retrieved 6 April 2017.
External links
[edit]- Glissette at Wolfram Mathworld Archived 2017-04-21 at the Wayback Machine