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Equilateral - 2 reference results
Equilateral polygon
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

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Last updated on Wednesday September 10, 2008 at 16:31:55 PDT (GMT -0700)
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equilateral
Jan 01, 2005; equilateral A polygon is equilateral if all its sides have the same length. In an equilateral triangle, the three angles are all...
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The equilateral triangle paradigm: a mathematical interpretation of the theory of tertiary sources on the World Wide Web.
Mar 22, 2006; Introduction Among the pure sciences, mathematics has had the most important impact on the rest of human knowledge, because it...
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Geometry 101: the equilateral triangle.(President's Message)(National Environmental Health Association's organizational structure)(Column)
Mar 01, 2009; The Windup As I write this column, my term of office is half over, but as you read it, it will be three-fourths over. In early...
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Histology and ultrastructure of the mantle epidermis of the equilateral Venus, Gomphina veneriformis (Bivalvia: Veneridae).
Aug 01, 2007; ABSTRACT The histochemical characteristics and ultrastructure of the mantle of Gomphina veneriformis, were described using light...
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Three-way battle for Welsh shoppers; North Wales consumers have a triangle of choice: historic Chester, upwardly mobile Wrexham and Queen of Resorts Llandudno. Jill Tunstall discovers that it is not equilateral.(Business)
Apr 24, 2002; Byline: Jill Tunstall TWO years ago Wrexham was top of the shops for consumers in North Wales, a boom town that claimed the title...
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