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

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]


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gollark: 2018 or so.
gollark: They invented promises AGES ago.
gollark: Maybe call it "Pyramid", after the callback pyramid thing.
gollark: `add(x, y, (result, err) => /* whatever */)`

References

  1. Besant, William (1890). Notes on Roulettes and Glissettes. Deighton, Bell. p. 51. Retrieved 6 April 2017.
  2. Yates, Robert C. (1947). A Handbook on Curves and their Properties. Ann Arbor, MI: Edwards Bros. p. 109. Retrieved 6 April 2017.
  3. Lockwood, E. H. (1961). A Book of Curves (PDF). Cambridge University Press. p. 162. Retrieved 6 April 2017.
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