equilateral adj : having all sides or faces equal
referring to a polygon all of whose sides are of equal 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.
- 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 in Hebrew: שווה צלעות
equilateral in Italian: poligono equilatero
equilateral in Macedonian: Рамностран многуаголник
equilateral in Polish: Wielokąt foremny
equilateral in Finnish: Tasasivuinen monikulmio
equilateral in Swedish: Liksidig