Euclid's Muse

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A Locus Problem

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Phil Todd



The locus of the Center of Gravity of the triangle OBA’ is shown.  (B is the intersection of the line OA with the inner circle, A’ is the image of A under reflection in the x-axis)

Looks like an ellipse.  Is it?

If so, what are the foci in terms of the circle radii.

Tags: ellipse, circle
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