|
|
|
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.