22.11.2013 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.

CONICORUM LIBEE III.<br />

I.<br />

Si rectae coni sectionem uel circuli ambitum<br />

contingentes inter se concurrunt, et per puncta contactus<br />

diametri ducuntur <strong>cum</strong> contingentibus concurrentes,<br />

trianguli ita orti, qui ad uerticem inter se<br />

positi sunt, aequales erunt.<br />

sit AB coni sectio uel ambitus circuli, et lineam<br />

AB contingant ^F, BzJ in E concurrentes, per A,<br />

B autem diametri sectionis ducantur FB, /iA <strong>cum</strong><br />

contingentibus in JT, A concurrentes. dico, esse<br />

AAE=^EBT.<br />

ducatur enim ab A rectae BA parallela AZ\<br />

ordinate igitur ducta est [I def. 5]. in parabola igitur<br />

erit [I, 42] AABZ = AFZ, et ablato, quod commune<br />

est, AEBZ reliquum erit AAE= FBE.<br />

in reliquis autem diametri in H centro concurrant.

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

Saved successfully!

Ooh no, something went wrong!