9950
[Translation: ]
[Commentary:
On this page, Harriot continues his work on Problem IX from Apollonius Gallus
(Viete 1600a, Prob .
Problema IX.
Datis duobus circulis, & puncto, per datum punctum circulum describere quem duo dati circuli contingat.
IX. Given two circles and a point, through the given point describe a circle that touches the two given ]
Problema IX.
Datis duobus circulis, & puncto, per datum punctum circulum describere quem duo dati circuli contingat.
IX. Given two circles and a point, through the given point describe a circle that touches the two given ]
Apoll: Gallus. problema. 9. casus.
[Translation: Apollonius Gallus, Problem IX, case ]
[Translation: Apollonius Gallus, Problem IX, case ]
[Translation: ]
In isto casu
Si punctum datum , sit intra tangentes
et intra circulos cuius diamet:
Duo circuli describi possunt.
Si extra tangentes; unus tantum.
punctum non dabitur in spatio , .
alias
[Translation: In this case, if the point is inside the tangents and inside the circle with diameter , two circles can be described. If outside the tangents, one such.
The point is not given in the space or , otherwise anywhere.
Si punctum datum , sit intra tangentes
et intra circulos cuius diamet:
Duo circuli describi possunt.
Si extra tangentes; unus tantum.
punctum non dabitur in spatio , .
alias
[Translation: In this case, if the point is inside the tangents and inside the circle with diameter , two circles can be described. If outside the tangents, one such.
The point is not given in the space or , otherwise anywhere.