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[Commentary:
On this page, Harriot examines Problem V from Appendix II from Apollonius Gallus
(Viete 1600a, Appendix II, Prob .
Appendicula II.
De problemata quorum factionem geometricam non tradunt astronomi, itaque infeliciter resolvunt.
Problema V.
Dato triangulo, invenire punctum, a quo ad apices dati trianguli actæ tres lineæ rectæ imperatam teneant rationem.
Appendix II.
On problems whose geometric construction the astronomers do not teach, thereby resolving them imperfectly.
Problem V.
Given a triangle, to find a point from which there may be drawn three straight lines to the vertices of the given triangle, keeping a fixed ratio.]
Appendicula II.
De problemata quorum factionem geometricam non tradunt astronomi, itaque infeliciter resolvunt.
Problema V.
Dato triangulo, invenire punctum, a quo ad apices dati trianguli actæ tres lineæ rectæ imperatam teneant rationem.
Appendix II.
On problems whose geometric construction the astronomers do not teach, thereby resolving them imperfectly.
Problem V.
Given a triangle, to find a point from which there may be drawn three straight lines to the vertices of the given triangle, keeping a fixed ratio.]
Quinta et ultima propositio appendiculæ 2
Appollonij
[Translation: Fifth and last proposition from Appendiula II of Apollonius ]
[Translation: Fifth and last proposition from Appendiula II of Apollonius ]
Dato triangulo: invenire punctum, a quo ad apices dati
triangli actæ tres lineæ rectæ imperatam teneant
rationem. Si sit
[Translation: Given a triangle, to find a point from which to the given vertices of the triangle there are constructed three straight lines in a determined ratio. If it is possible.
triangli actæ tres lineæ rectæ imperatam teneant
rationem. Si sit
[Translation: Given a triangle, to find a point from which to the given vertices of the triangle there are constructed three straight lines in a determined ratio. If it is possible.