Iso-Optic Curve of a Regular Polygon

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Some regular polygons are considered: equilateral triangle, square, regular pentagon, regular hexagon and regular heptagon. This Demonstration shows the set of all points in the plane from which the given regular polygon subtends an angle greater than or equal to , where .

Contributed by: Géza Csima (May 2009)
Additional contributions by: János Tóth
Suggested by: Jenő Szirmai
Open content licensed under CC BY-NC-SA


Snapshots


Details

We use for construction the simple theorem of the inscribed angle. We apply this theorem to each diagonal of the given regular polygon to get the red domain.



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