Definition:Convex Polygon/Definition 3

Definition

Let $P$ be a polygon.

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

the region enclosed by $P$ lies entirely on the same side of each side of $P$

Although this article appears correct, it's inelegant. There has to be a better way of doing it. In particular: Tighten the language of the above, which is more or less verbatim from Clapham and Nicholson You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by redesigning it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Improve}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Also see

• Equivalence of Definitions of Convex Polygon

• Results about convex polygons can be found here.

Sources

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): polygon
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): polygon