17588
[Commentary:
This page gives the three standard cases of quadratic (, , and ), and shows how they relate to divisions of a line into given ratios. The first case is the subject of Propositions IX and XII from Viète's Effectionum geometricarum canonica recensio
(Viète 1593b, Props 9, .
The second case is the subject of Propositions X and XIII.
The third case is the subject of Proposition (Viète 1593b, Props 10, .
Note on this page two different words used for demonstrating the nature of an equation: 'exegesis' when the equation is written in general notation, but 'effectio' when it is represented by a geometric ]
The second case is the subject of Propositions X and XIII.
The third case is the subject of Proposition (Viète 1593b, Props 10, .
Note on this page two different words used for demonstrating the nature of an equation: 'exegesis' when the equation is written in general notation, but 'effectio' when it is represented by a geometric ]
De
[Translation: On ]
[Translation: On ]
extrema et
media
[Translation: extreme and mean ]
media
[Translation: extreme and mean ]
De exegesi per species
et per effectiones arith.
[Translation: On showing [the solution] in general form and by arithmetic or geometric construction.
et per effectiones arith.
[Translation: On showing [the solution] in general form and by arithmetic or geometric construction.