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inscribe (Definition)

To inscribe a polygon (such as a triangle, square, pentagon, etc.) or circle is to enclose it in another polygon or circle so that the vertices of the polygon are on the circumference of the circle or sides of the outer polygon, or so that the circumference of the inner circle touches the sides of the enclosing polygon. In the specific case of a polygon inside of a circle, this is called to circumscribe.

Now, a couple of examples: First, a circle inscribed in a pentagon.

\includegraphics{CircleInPentagon}

Next, another example of a pentagon, but inscribed with a triangle this time.

\includegraphics{TriangleInPentagon}




"inscribe" is owned by PrimeFan. [ full author list (2) | owner history (1) ]
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See Also: regular polygon and circles, circumscribe

Other names:  inscribed, inscription
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Cross-references: circumscribe, inner, outer, sides, circumference, vertices, circle, pentagon, square, triangle, polygon
There are 27 references to this entry.

This is version 2 of inscribe, born on 2006-11-15, modified 2007-07-18.
Object id is 8558, canonical name is Inscribe.
Accessed 4379 times total.

Classification:
AMS MSC51D20 (Geometry :: Geometric closure systems :: Combinatorial geometries)

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