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Stengel's Theorem

Let ABC be a triangle. Let E, D, and G be points on AB, BC, and AC, respectively. Let EC intersect AD at F. Choose points I, J, and H so that EI || BG || FJ || DH.
Then .
Drag the triangle's vertices or the sliders to change the figure.

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"Stengel's Theorem" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/StengelsTheorem/
Contributed by: Jay Warendorff
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