10955
[Commentary:
On this page, Harriot examines 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 ]
.oo) Apoll: Gall. prob. 9. de casibus
[Translation: Apollonius Gallus, Problem IX, on impossible ]
[Translation: Apollonius Gallus, Problem IX, on impossible ]
Duobus datis
circulis et
[Translation: From two given circles and a ]
circulis et
[Translation: From two given circles and a ]
Si tertius tangetur
a datis, intra:
punctum non dabitur in
neque in spatio .
extra:
punctum non dabitur
in spatio ,
[Translation: If the third is touched by the given one, internally, then the point may not be in nor in ; if extrenally, the point may not be in the spaces or .
a datis, intra:
punctum non dabitur in
neque in spatio .
extra:
punctum non dabitur
in spatio ,
[Translation: If the third is touched by the given one, internally, then the point may not be in nor in ; if extrenally, the point may not be in the spaces or .
Extra et intra:
punctum non dabitur
in spatio ,
[Translation: Outside or inside, the point may not be in the spaces or .
punctum non dabitur
in spatio ,
[Translation: Outside or inside, the point may not be in the spaces or .
Si unus datorum includat
alterum circulum:
punctum non dabitur
extra maiorem circuli
vel intra
[Translation: If one of the given circles includes the other circle, the point may not be outside the larger circle nor inside the smaller circle.
alterum circulum:
punctum non dabitur
extra maiorem circuli
vel intra
[Translation: If one of the given circles includes the other circle, the point may not be outside the larger circle nor inside the smaller circle.