Archimedes’ ‘Quadrature of the Parabola’, Prop2

by Corry Shores
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Archimedes

Quadrature of the Parabola

Proposition 2 [quoting]

 

If in a parabola QQ' be a chord parallel to the tangent at P,

and if a straight line be drawn through P which is either itself
the axis or parallel to the axis, and which meets QQ' in V and
the tangent at Q to the parabola in T, then
PV=PT.

 

 

Archimedes. “Quadrature of the Parabola.” In The Works of Archimedes. Ed. T.L. Heath. Cambridge UP, 1897. Obtained at

https://archive.org/details/worksofarchimede00arch