by Corry Shores
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Archimedes
Quadrature of the Parabola
Proposition 3 [quoting]
If from a point on a parabola a straight line be drawn which is either itself the axis or parallel to the axis, as PV, and if from two other points Q, Q' on the parabola straight lines be drawn parallel to the tangent at P and meeting PV in V, V’ respectively, then
PV : PV’ = QV2 : Q'V'2
Archimedes. “Quadrature of the Parabola.” In The Works of Archimedes. Ed. T.L. Heath. Cambridge UP, 1897. Obtained at
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