Definition:Convex Geometric Figure

This page is about Convex Geometric Figure. For other uses, see Convex.

Definition

A geometric figure is convex if and only if a line segment joining two points on its boundary lies entirely inside it.

Convex Polygon

Let $P$ be a polygon.

$P$ is a convex polygon if and only if:

For all points $A$ and $B$ located inside $P$, the line $AB$ is also inside $P$.

Convex Polyhedron

$P$ is a convex polyhedron if and only if:

For all points $A$ and $B$ located inside $P$, the line $AB$ is also inside $P$.

Sources

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): convex