11.01.2015 Views

Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

In librum IV.<br />

Liber quartus, mi Anthemie, disquisitionem continet,<br />

quot modis sectiones conorum et inter se et<br />

<strong>cum</strong> ambitu circuli concurrant siue contingentes siue<br />

secantes, est autem elegans et perspicuus iis, qui legent,<br />

maxime ih nostra editione; nec scholiis eget;<br />

adnotationes ^) enim explent, si quid deest. omnes<br />

uero propositiones eius per reductionem in absurdum<br />

demonstrantur, qua ratione etiam Euclides de sectionibus<br />

et contactu circuli demonstrauit [Elem. III,<br />

10, 13]. <strong>quae</strong> ratio et Aristoteli [Anal. pr. I, 7]<br />

utilis necessariaque uidetur et geometris, in primis<br />

Archimedi.<br />

perlectis igitur his IV libris tibi licebit per rationem<br />

conicorum omnia, <strong>quae</strong> proposita erunt, resoluere<br />

et componere. quare etiam Apollonius ipse in principio<br />

operis dicit, IV libros ad institutionem elementarem<br />

[I p. 4, 1] sufficere, reliquos autem ulterius<br />

progredi [I p. 4, 22].<br />

1) Fuit, <strong>cum</strong> coniicerem v,atayQctcpaC, sed nunc credo<br />

significari breues illas notas, quibus in codd. mathematicornm<br />

propositiones usurpatae uel ipsius operis uel Euclidis citantur;<br />

tales igitur Eutocius uel addidisse uel in suis codd. conicorum<br />

inuenisse putandus est, quamquam in nostris desunt.<br />

scriptis litteris ay|3 p. 13. 'AQxi^iridsL] comp. p, 'AQxi^nSrji W.<br />

15. TtQayfiaTSias] p, TtQay^azlag W. 17. cprioiv W, comp. p,<br />

23*

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!