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A lemma of Archimedes

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Phil Todd

@polymnia

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BF is perpendicular to diameter CD.  E is the intersection point of tangents at B and D.  Observe that BG = FG.

Can you prove it?

This is from the Liber Assumptorum (Book of Lemmas) translated from Arabic but attributed to Archimedes.

Tags: Archimedes, circle, tangent
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