Euclid's Muse

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Maximum Area Triangle

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Phil Todd



A force proportional to the length of each side are applied to the side’s midpoint.  This models a constant pressure, and potential energy should be minimized when area is maximized.

Press Show to see the tangents to the curve at the points of contact.

What do you notice?

You can change the definition of the curves, but be careful, or the masses might escape!

Tags: maximum, triangle, area
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