Archimedes’ ‘Quadrature of the Parabola’, Prop3

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

https://archive.org/details/worksofarchimede00arch