Definition:Circumscribe

Definition

Circle around Polygon

A circle is circumscribed around a polygon when its circumference passes through each of the vertices of that polygon:

Polygon around Circle

A polygon is circumscribed around a circle when each of its sides is tangent to the circumference of the circle:

Polygon around Polygon

A polygon is circumscribed around another polygon when each of its sides passes through each of the vertices of the other polygon.

Sphere around Polyhedron

A sphere is circumscribed around a polyhedron when its surface passes through each of the vertices of that polyhedron:

Polyhedron around Sphere

A polyhedron is circumscribed around a sphere when each of its faces is tangent to the surface of the sphere:

Also see

• Definition:Inscribe

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): circumscribe
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): circumscribe