10352
[Commentary:
An investigation of Lemma I, preceding Problem IX of Apollonius Gallus
(Viete 1600a, Prob 9, Lemma . Harriot notes some cases missed by Viète.
Lemma I.
Propositis duobus circulis, invenire punctum in jungente ipsorum centra, a quo, cum ducetur quævis linea recta ipsos circulos secans, similis erunt segmenta.
Lemma I. Given two circles, find a point in the line joining their centre, from which, when any straight line is drawn cutting those circles, the segments wil be similar.]
Lemma I.
Propositis duobus circulis, invenire punctum in jungente ipsorum centra, a quo, cum ducetur quævis linea recta ipsos circulos secans, similis erunt segmenta.
Lemma I. Given two circles, find a point in the line joining their centre, from which, when any straight line is drawn cutting those circles, the segments wil be similar.]
Apoll: Gallus. Lemma. 1. pag.
[Translation: Apollonius Gallus, Lemma I, page ]
[Translation: Apollonius Gallus, Lemma I, page ]
casus a Vieta
[Translation: cases missed by ]
[Translation: cases missed by ]
similes arcus
ad easdem
[Translation: similar arcs on the same ]
ad easdem
[Translation: similar arcs on the same ]
similes arcus
ad contrarias
[Translation: similar arcs on opposite ]
ad contrarias
[Translation: similar arcs on opposite ]
sunt
preterea
4 casus
de circulis secantibus
et 4
de tangentibus
si placeat.
et 1.
de
[Translation: besides the 4 cases of cutting the circles, there are 4 of tangents, if one wishes; and 1 of ]
preterea
4 casus
de circulis secantibus
et 4
de tangentibus
si placeat.
et 1.
de
[Translation: besides the 4 cases of cutting the circles, there are 4 of tangents, if one wishes; and 1 of ]
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