equiangular polygon
A polygon is equiangular if all of its interior angles are congruent.
Common examples of equiangular polygons are rectangles and regular polygons such as equilateral triangles and squares.
Let be a triangle in Euclidean geometry, hyperbolic geometry, or spherical geometry. Then the following are equivalent:
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is equilateral;
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is equiangular;
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is regular.
If is allowed to be a polygon that has more than three sides, then the above statement is no longer true in any of the indicated geometries.
Below are some pictures of equiangular polygons drawn in Euclidean geometry that are not equilateral.
Title | equiangular polygon |
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Canonical name | EquiangularPolygon |
Date of creation | 2013-03-22 17:12:43 |
Last modified on | 2013-03-22 17:12:43 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 10 |
Author | Wkbj79 (1863) |
Entry type | Definition |
Classification | msc 51-00 |
Synonym | equiangular |
Related topic | BasicPolygon |