An Isoptic Curve formed from the locus of Tangents meeting at Right Angles. The orthoptic of a Parabola is its Directrix. The orthoptic of a central Conic was investigated by Monge and is a Circle concentric with the Conic Section. The orthoptic of an Astroid is a Circle.
Curve | Orthoptic |
Astroid | Quadrifolium |
Cardioid | Circle or Limaçon |
Deltoid | Circle |
Logarithmic Spiral | equal Logarithmic Spiral |
Parabola | Directrix |
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 58 and 207, 1972.