Equiangular Polygon is not necessarily Equilateral
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Theorem
Let $P$ be an equiangular polygon with more than $3$ sides.
Then it is not necessarily the case that $P$ is also equilateral.
Proof
We take as an example the rectangle:
A rectangle is a quadrilateral all of whose angles are equal to a right angle, and whose sides may or may not all be the same length.
$\blacksquare$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): polygon
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): polygon