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Glissette

Curve traced by another curve that slides along two fixed curves From Wikipedia, the free encyclopedia

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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]

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Astroid

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

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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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References

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