Tucker Circles Through Homothety

Tucker hexagons are hexagons inscribed in a (base) triangle whose sides are alternately parallel to the sides of the base triangle and its orthic triangle. Tucker hexagons are always inscribable in a circle. As the applet below demonstrates, Tucker hexagons can also be obtained at the intersection of the side lines of two triangles homothetic in their common Lemoine point.


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What if applet does not run?

Explanation

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