Ellipse: n equal arcs (debug)
SPECIFY: an ellipse, an integer n ≥ 2, and a point Z on that ellipse.
Change the ellipse by moving its foci (F, F') or the point E on its perimeter. Change n and Z by using the sliders.
ACTION: Divide the ellipse into n arcs of equal length, starting at point Z.
METHODS: Two methods are provided. Full details may be found in their "On Click" scripts. Both methods use the Minimize command.
- The DIVIDE_{n ≥ 5} script is elegant, but fails for n ∈ {2,3,4}.
- The DIVIDE_{n ≥ 2} script is robust, but makes heavier use of the Execute command.