Equiangularity

Part of speech: noun

Definitions

1. The attribute of a geometric shape in which all angles are of identical size
2. The geometric quality where each angle within a figure has an equal measure defines a specific type of regularity in shape
3. The characteristic of a figure where every angle has the same measure

Etymology: Equiangularity is a plain compound built from two parts. The first, "equi-", comes from the Latin "aequus", meaning "equal" or "level", and appears in English words such as "equilateral" and "equivalent". The second part, "angularity", is the noun form of "angular", which derives from the Latin "angulus", meaning "angle" or "corner". Joined together, the two parts describe a figure whose angles all share the same measure. The word is a straightforward technical coinage rather than an old term with a dramatic backstory. It is built the way mathematicians often build descriptive vocabulary, by attaching a Latin-derived prefix to an existing English noun, so its meaning can be read directly from its parts. An equiangular polygon, such as a rectangle or an equilateral triangle, has equal angles, while its sides need not be equal in length.

Synonyms: equidistance