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The tangent quadrangle
 

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A tangent is a line that lies on the exterior of a circle but touches it on one point. When four tangents touch the circle, they make a quadrangle, a so called tangent quadrangle. A quadrangle is a tangent quadrangle when the sums of the lengths on the opposite sides are equal.

 

Following is obtained:

a + c = b + d

And this is how it could possibly look like:

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02/09/07