EQUILATERAL - 2 reference results
In geometry, an equilateral polygon is a polygon which has all sides of the same length.
For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal angles.
Any equilateral quadrilateral is a rhombus, which includes the square.
An equilateral polygon which is cyclic (its vertices are on a circle) is a regular polygon. Not all equilateral polygons are convex: all equilateral polygons with more than four sides, such as the pentagon, can be concave.
Viviani's Theorem holds for equilateral polygons:
- The sum of distances from a point to the side lines of an equilateral polygon does not depend on the point and is that polygon's invariant.
External links
- Equilateral triangle With interactive animation
- A Property of Equiangular Polygons: What Is It About? a discussion of Viviani's theorem at Cut-the-knot.
- Equilateral Pentagons With Java animations.
- Equilateral Hexagons A family of pieces resembling lenses tiling the plane.
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Last updated on Wednesday September 10, 2008 at 16:31:55 PDT (GMT -0700)
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This article is licensed under the GNU Free Documentation License.
Last updated on Wednesday September 10, 2008 at 16:31:55 PDT (GMT -0700)
View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation
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