10151
[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. probl. 9. casus.
[Translation: Apollonius Gallus, Problem IX, case ]
[Translation: Apollonius Gallus, Problem IX, case ]
In isto casu
Si punctum datum , sit extra
circuli circa , et intra
tangentes ad partes :
intra tangentis ad partes :
Duo circuli possunt tangere duos
[Translation: In this case, if the point is outside the circle around and inside the tangents on the side of , and inside the tangents on the side of , two circles are possible touching those given.
Si punctum datum , sit extra
circuli circa , et intra
tangentes ad partes :
intra tangentis ad partes :
Duo circuli possunt tangere duos
[Translation: In this case, if the point is outside the circle around and inside the tangents on the side of , and inside the tangents on the side of , two circles are possible touching those given.
punctum non dabitur.
In circulo et intra tangentes
ad partes .
Neque in circulo et intra tangentes
extra .
Alias
[Translation: The point is not given in the circle and inside the tangents on the side , nor in the circle and inside the tangents outside .
Otherwise ]
In circulo et intra tangentes
ad partes .
Neque in circulo et intra tangentes
extra .
Alias
[Translation: The point is not given in the circle and inside the tangents on the side , nor in the circle and inside the tangents outside .
Otherwise ]