Euclid's Muse

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October Problem

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Phil Todd



Given two concentric similar (and similarly situated) ellipses, we create the two tangents from a point on the outer ellipse to the inner ellipse.

Notice the area of the triangle formed by E and the tangency points F and G is constant as you drag E.


You can change the semi major axis lengths a and b, or the scale factor k.

Tags: ellipse, transform
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