For a given curve , consider the locus of the point from where the Tangents from to meet at a fixed given Angle. This is called an isoptic curve of the given curve.
Curve | Isoptic |
Cycloid | curtate or prolate Cycloid |
Epicycloid | Epitrochoid |
Hypocycloid | Hypotrochoid |
Parabola | Hyperbola |
Sinusoidal Spiral | Sinusoidal Spiral |
See also Orthoptic Curve
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.