283142
[Commentary:
There is a reference on this page to Propositions IX from Effectionum geometricarum canonica recensio
(Viète 1593b, Prop .
There are also references to Salignac, either Tractatus arithmetici (Salignac Arithmeticae libri duo (Salignac and to Stevin, probably to L'arithmétique (Stevin . ]
There are also references to Salignac, either Tractatus arithmetici (Salignac Arithmeticae libri duo (Salignac and to Stevin, probably to L'arithmétique (Stevin . ]
Of 3 magnitudes in continuall proportion: the first being given
& the summe of the second & third: to find the
& the summe of the second & third: to find the
Per
let the first be
the summe of the second & third
Then suppose the second , the third wilbe
the summe of the second & third
Then suppose the second , the third wilbe
This kind of æquation
is not resolved nor
compounded by Vieta
in Effectionibus Geometricis
as I can find.
But it is the 9th of his effectiones
is not resolved nor
compounded by Vieta
in Effectionibus Geometricis
as I can find.
But it is the 9th of his effectiones
Multiply the first into the summe of the 2 & third.
The half of the first 2
his square 4
adde the first product 60
the summe 64
His roote 8
subtract the sayd half of the first 2
the remayne is 6, the sayd second
The half of the first 2
his square 4
adde the first product 60
the summe 64
His roote 8
subtract the sayd half of the first 2
the remayne is 6, the sayd second
This solution is
according to the
ancient manner
as in salignacus
or Stevin &c.
& doth not much differ
in practice from my
rule before demonstrated
by
according to the
ancient manner
as in salignacus
or Stevin &c.
& doth not much differ
in practice from my
rule before demonstrated
by