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Isoptic Curve

For a given curve C, consider the locus of the point P from where the tangents from P to C meet at a fixed given angle. This is called an isoptic curve of the given curve.

curveisoptic
cycloidcurtate or prolate cycloid
epicycloidepitrochoid
hypocycloidhypotrochoid
parabolahyperbola
sinusoidal spiralsinusoidal spiral

See also

Orthoptic Curve

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References

Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 58-59 and 206, 1972.Yates, R. C. "Isoptic Curves." A Handbook on Curves and Their Properties. Ann Arbor, MI: J. W. Edwards, pp. 138-140, 1952.

Referenced on Wolfram|Alpha

Isoptic Curve

Cite this as:

Weisstein, Eric W. "Isoptic Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IsopticCurve.html

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