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Parabola Generalization

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Phil Todd



theorem of Archimedes on a circle can be generalized to parabolas as shown here.

Vertical lines correspond to diameters of the parabola. FG is parallel to the tangent at C.  E is the intersection of the tangents at F and C.

Observe that teh vertical line through E bisects FG.

Tags: parabola, Archimedes
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