Stengel's Theorem

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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.


Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA



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