457229
[Commentary:
The references on this page are to Supplementum geometriæ
(Viète .
Propositio III.
Si duae lineae rectae a puncto extra circulum eductae ipsum secent, pars autem exterior primae fit proportionalis inter partem exteriorem secundae & partem interiorem ejusdem: erit quoque pars exterior secundae proportionalis inter partem exteriorem primae & partem interiorem
If two straight lines drawn from a point outside a circle cut it in such a way that the external part of the first is a proportional between the external and internal parts of the second, the external part of the second will be a proportional between the external and internal parts of the
Propositio IV.
Si duae lineae rectae a puncto extra circulum eductae ipsum secent quod autem fit sub partibus exterioribus eductarum, aequale fit ei quod fit sub interioribus: exteriores partes permutatim sumptae, erunt continue proportionales inter partes
If two straight lines drawn from a point outside a circle cut it, and moreover the product of the external parts is equal to that of the internal parts, the external parts taken in turn will be continued proportionals between the internal
Propositio V.
Datis duabus lineis rectis, invenire inter easdem duas medias continue,
Given two straight lines, to find two mean proportionals between ]
Propositio III.
Si duae lineae rectae a puncto extra circulum eductae ipsum secent, pars autem exterior primae fit proportionalis inter partem exteriorem secundae & partem interiorem ejusdem: erit quoque pars exterior secundae proportionalis inter partem exteriorem primae & partem interiorem
If two straight lines drawn from a point outside a circle cut it in such a way that the external part of the first is a proportional between the external and internal parts of the second, the external part of the second will be a proportional between the external and internal parts of the
Propositio IV.
Si duae lineae rectae a puncto extra circulum eductae ipsum secent quod autem fit sub partibus exterioribus eductarum, aequale fit ei quod fit sub interioribus: exteriores partes permutatim sumptae, erunt continue proportionales inter partes
If two straight lines drawn from a point outside a circle cut it, and moreover the product of the external parts is equal to that of the internal parts, the external parts taken in turn will be continued proportionals between the internal
Propositio V.
Datis duabus lineis rectis, invenire inter easdem duas medias continue,
Given two straight lines, to find two mean proportionals between ]
Vieta. supl.
pag. 14. b.
[Translation: Viète, Supplementum, page ]
[Translation: Viète, Supplementum, page ]
prop.
[Translation: Proposition ]
[Translation: Proposition ]
prop
[Translation: Proposition ]
[Translation: Proposition ]
prop:
[Translation: Proposition ]
[Translation: Proposition ]