776389
[Commentary:
The reference to Pappus is to Commandino's edition of Books III to Mathematicae collectiones
(Pappus . The proposition on pages 320v–321 is Proposition 14.
Problema X. Propositio XIV.
Facile autem est inuentis quibuscumque coniugationibus diametrorum ellipsis, axes cuius organice inuenire. quod quidem hac ratione fiet.
Moreover, having found any conjugates of the diamters of the ellipse, it is easy to find the axes mechancially, which indeed are in this ratio.]
Problema X. Propositio XIV.
Facile autem est inuentis quibuscumque coniugationibus diametrorum ellipsis, axes cuius organice inuenire. quod quidem hac ratione fiet.
Moreover, having found any conjugates of the diamters of the ellipse, it is easy to find the axes mechancially, which indeed are in this ratio.]
pappus. 321
Datæ, coniugatæ elypseos
diametri , .
Quæruntur
[Translation: Pappus, page 321.
Given conjugate ellipses with diameters , , there are sought the axes.
Datæ, coniugatæ elypseos
diametri , .
Quæruntur
[Translation: Pappus, page 321.
Given conjugate ellipses with diameters , , there are sought the axes.