# Definition:Convex Polyhedron

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*This page is about Convex Polyhedron. For other uses, see Convex.*

## Definition

Let $P$ be a polyhedron.

### Definition 1

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

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

### Definition 2

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

### Definition 3

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

## Also see

- Results about
**convex polyhedra**can be found**here**.