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[Commentary:
Proposition 20 of Book I of Apollonius, edited by Commandino Conicorum libri quattuor
(Apollonius , is the defining property of a parabola in terms of its ordinates to the diameter.
I.20 If in a parabola two straight lines are dropped as ordinates to the diameter, the squares on them will be to each other as the straight lines cut off by them on the diameter beginning from the vertex are to each other.]
I.20 If in a parabola two straight lines are dropped as ordinates to the diameter, the squares on them will be to each other as the straight lines cut off by them on the diameter beginning from the vertex are to each other.]
Appol. lib. 1. prop. 20. De
[Translation: Apollonius, Book I, Proposition 20. On ]
[Translation: Apollonius, Book I, Proposition 20. On ]