Orthoptic curve of a closed Fermat curve
- Author:
- Thierry Dana-Picard
Orthoptic of a closed Fermat curve
A closed Fermat curve F_n has equation x^n+y^n=1, for n an even natural number. The orthoptic of F_n is the geometric locus of points through which pass a pair of perpendicular tangents.
Here we used the implicit equation of the orthoptic, part of the more general results in a paper @ Math. in Comp Sc. (2020).
Plot a point A on red curve (the orthoptic) and the tangents to F_n through A. Check the value of the angle between the tangents Then move A along the orthoptic.