In that context all convex quadrilaterals have four escribed circles, but they can at most have one excircle.
2.
Another name for an excircle is an escribed circle, but that name has also been used for a circle tangent to one side of a convex quadrilateral and the extensions of the adjacent two sides.
3.
An "'excircle "'or "'escribed circle "'of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two.
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