Money-Coutts process for pentagon

Autor:Denis

Given a pentagon P1 - P5, consider the following chain of circles: c1 is inscribed in the angle P1; c2 inscribed in the angle P2 and tangent to c1; c3 inscribed in the angle P3 and tangent to c2; etc.

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What would they do?
Move the vertices and record the lengths of DF and AC. Look for any invariants
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