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Equiangular polygon
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Wikipedia
In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal then it is a regular polygon.
The only equiangular triangle is the equilateral triangle. Rectangles, including the square, are the only equiangular four-sided figures.
For an equiangular n-gon each angle is 180° - 360°/n; this is the equiangular polygon theorem.
Viviani's Theorem holds for equiangular polygons.
- The sum of distances from a point to the side lines of an equiangular polygon does not depend on the point and is that polygon's invariant.
References
- Williams, R. The Geometrical Foundation of Natural Structure: A Source Book of Design. New York: Dover, 1979. p. 32
External links
- A Property of Equiangular Polygons: What Is It About? a discussion of Viviani's theorem at Cut-the-knot.
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Last updated on Friday February 08, 2008 at 09:59:57 PST (GMT -0800)
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This article is licensed under the GNU Free Documentation License.
Last updated on Friday February 08, 2008 at 09:59:57 PST (GMT -0800)
View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation
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