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The figure shows a parabolic segment, that is, the portion of a parabola cut off by a chord AB. It also shows a point C on the parabola with the property that the tangent line at C is parallel to the chord AB. Archimedes proved that the area of the parabolic segment is times the area of the inscribed triangle ABC. Verify the Archimedes’ result for the parabola and the line.

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Nestor Rutherford
Nestor RutherfordLv2
24 May 2020

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