3317
[Commentary:
The references on this page are to Commandino's edition of Mathematicae collectiones
(Pappus , pages 171 and 172 (Propositions 17 to 21). Proposition 17, for example, is as follows.
Sint duæ rectæ lineæ , & inter media proportionalis fit , ipsique æqualis ponatur . Dico rectam lineam excessum, quo utreque excedunt eam, quem potest id, quod quater continetur.
Let there be two straight lines and , and the mean proportional between and is , and is made equal to . I say that the line is the excess by which and together exceed the line euqal in square to four times the product of and . ]
Sint duæ rectæ lineæ , & inter media proportionalis fit , ipsique æqualis ponatur . Dico rectam lineam excessum, quo utreque excedunt eam, quem potest id, quod quater continetur.
Let there be two straight lines and , and the mean proportional between and is , and is made equal to . I say that the line is the excess by which and together exceed the line euqal in square to four times the product of and . ]
Pappus 171. ad resectione
Pappus.
Utile ad
epilogum 13,
[Translation: Useful for the position of epilogue ]
epilogum 13,
[Translation: Useful for the position of epilogue ]
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