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[Commentary:
This page refers to Proposition 51 of Book III of Apollonius, as edited by Commandino Conicorum libri quattuor
(Apollonius .
III.51 If a rectangle equal to a fourth part of the figure is applied from both sides to the axis of an hyperbola or opposite sections and exceeding by a square figure, and straight lines are deflected from the resulting points of application to either one of the sections, then the greater of the two straight lines exceeds the less by exactly as much as the ]
III.51 If a rectangle equal to a fourth part of the figure is applied from both sides to the axis of an hyperbola or opposite sections and exceeding by a square figure, and straight lines are deflected from the resulting points of application to either one of the sections, then the greater of the two straight lines exceeds the less by exactly as much as the ]
Hyperboles descriptio. per 51. pr. 3: lib.
[Translation: A description of a hyperbola, by Propostion 53, Book 3, of ]
[Translation: A description of a hyperbola, by Propostion 53, Book 3, of ]