Euclid's Muse

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Minimum Perimeter Triangle

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Phil Todd



Constant force actuators pull the masses and remain tangent to the curve.  Potential energy for these actuators corresponds to their length.  Hence a minimal energy configuration should minimize the perimeter of the triangle.

Press Show to see the cevians to the points of contact with the curve.

Pres Show a second time to see the normals at the points of contact.

What do you notice?

Tags: Cevian, triangle, curve, minimum, perimeter
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