18291v
[Commentary:
This page contains some rough work on Proposition 16 from Effectionum geometricarum canonica recensio
(Viète 1593b, Prop .
Data prima trium proportionalium, & ea cujus quadratum æquale est adgregato quadratorum secundæ & tertiæ, dantur secunda &
Given the first of three proportionals and that quantity whose square is equal to the sum of the squares of the second and third, the second and third are given.
Harriot's diagram is a partial copy of ]
Data prima trium proportionalium, & ea cujus quadratum æquale est adgregato quadratorum secundæ & tertiæ, dantur secunda &
Given the first of three proportionals and that quantity whose square is equal to the sum of the squares of the second and third, the second and third are given.
Harriot's diagram is a partial copy of ]
In 16. p.
[Translation: From page 16 of the ]
[Translation: From page 16 of the ]
Proportionales. Etiam
[Translation: Proportionals. Also ]
[Translation: Proportionals. Also ]
est differentia inter & .
et est media proportinonalis data.
Hoc est:
est prima proportionalis, et ea cuius quadratum est
æquale adgregatum quadratorum et .
Ita ut ista proportio per interpretationem est vale cum 12a
[Translation: Proportionals. Also ]
et est media proportinonalis data.
Hoc est:
est prima proportionalis, et ea cuius quadratum est
æquale adgregatum quadratorum et .
Ita ut ista proportio per interpretationem est vale cum 12a
[Translation: Proportionals. Also ]