Full text: Pergaeus, Apollonius: Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi

Aſſumpt. Liber. & angulus B eſt communis,
ergo A G B æqualis eſt an-
gulo C D B recto, ergo A
G eſt perpendicularis ſuper
B C. Hoc præmiſſo repe-
tamus ex propoſit. quàm
attulit Archimedes D A,
A B, & perpendiculares D
C, A I, B F, B I, & li-
neam D I. iam ſi B I D
non fuerit linea recta, iun-
gamus B G D rectam, erit
angulus A G B rectus ex
præmiſſa propoſitione, & erat angulus A I B rectus,
ergo internus in triangulo
B I G æqualis eſt oppoſito
externo, & hoc eſt abſur-
dum, igitur linea B I D
eſt recta. Deinde attulit
duas propoſitiones ex in-
terpretatione Alkauhi, qua-
rum prima eſt hæc.

360.1.

0431-01
0431-02

361. SCHOLIVM PRIMVM ALKAVHI.

S I non fuerint duo ſemicirculi tangentes, ſed mutuo ſe ſecantes,
& perpendicularis fuerit in loco mutuæ ſectionis, idem ſe-
quitur.

Sint itaque ſemicirculi A B C, A D E, F D C, & duo illi ſemicir-
culi ſe mutuo ſecantes in D, & B G perpendicularis ſuper A C inſiſtat,

Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.

powered by Goobi viewer