Difference between revisions of "Incircle"
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− | [[Image:Incenter.PNG|left|thumb|300px|Triangle ''ABC'' with incenter ''I'', with [[angle bisector]]s (red), incircle (blue), and [[inradius]] (green)]] | + | [[Image:Incenter.PNG|left|thumb|300px|Triangle ''ABC'' with incenter ''I'', with [[angle bisector]]s (red), incircle (blue), and [[inradius|inradii]] (green)]] |
An '''incircle''' of a [[convex]] [[polygon]] is a [[circle]] which is inside the figure and [[tangent line | tangent]] to each side. Every [[triangle]] and [[regular polygon]] has a unique incircle, but in general polygons with 4 or more sides (such as non-[[square (geometry) | square]] [[rectangle]]s) do not have an incircle. | An '''incircle''' of a [[convex]] [[polygon]] is a [[circle]] which is inside the figure and [[tangent line | tangent]] to each side. Every [[triangle]] and [[regular polygon]] has a unique incircle, but in general polygons with 4 or more sides (such as non-[[square (geometry) | square]] [[rectangle]]s) do not have an incircle. |
Revision as of 19:33, 15 September 2007
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An incircle of a convex polygon is a circle which is inside the figure and tangent to each side. Every triangle and regular polygon has a unique incircle, but in general polygons with 4 or more sides (such as non- square rectangles) do not have an incircle.