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[Commentary:
This page gives numerical examples for Propositions I and II from the 'Dati sexti' in Chapter 19
of Viète's Variorum responsorum liber VIII
(Viete 1593d, Chapter 19, DATI SEXTI, Props I, .
I.
Data peripheria composita e duabus peripheriis, quarum transsinuosae datam habeant rationem, dantur
I.Given an arc composed of two others, whose secants are in a given ratio, each is known
II.
Data differentia duarum perpheriarum, quarum transsinuosæ datam habeant rationem, dantur
II.Given the difference of two arcs, whose secants are in a given ratio, each is given ]
I.
Data peripheria composita e duabus peripheriis, quarum transsinuosae datam habeant rationem, dantur
I.Given an arc composed of two others, whose secants are in a given ratio, each is known
II.
Data differentia duarum perpheriarum, quarum transsinuosæ datam habeant rationem, dantur
II.Given the difference of two arcs, whose secants are in a given ratio, each is given ]
Vieta. lib. 8. resp.
pag. 38.
Data peripheria
compositam
Data peripheria differentia
duarum
[Translation: Viète, Responsorum liber VIII, page 38.
Given the sum of the arcs
Given the difference of two ]
pag. 38.
Data peripheria
compositam
Data peripheria differentia
duarum
[Translation: Viète, Responsorum liber VIII, page 38.
Given the sum of the arcs
Given the difference of two ]
Menda in
[Translation: Wrong in ]
[Translation: Wrong in ]