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#monge's_theorem

Monge's theorem

The intersections of the 3 pairs of external tangent lines to 3 circles are collinear

In geometry, Monge's theorem, named after Gaspard Monge, states that for any three circles in a plane, none of which is completely inside one of the others, the intersection points of each of the three pairs of external tangent lines are collinear.

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Monge's theorem Gaspard Monge Tangent lines to circles Desargues's theorem List of theorems Outline of geometry Collinearity Power of a point List of circle topics Principal curvature
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