Full text: Viviani, Vincenzio: De maximis et minimis, geometrica divinatio

rectæ D H F æquidiſtabit, cum & hæc quoque ſit eidem diametro ordina-
tim ducta.

Iam in ſingulis figuris erit portio L E M æqualis portioni A B C, ſed eſt quoque portio D E F eidem portioni A B C æqualis, ex hypotheſi,
quare duæ portiones L E M, D E F inter ſe æquales erunt, ſed vtraque eſt
de eadem ſectione, & circa communem diametrum E H I, & ſuper baſes
parallelas, ergo baſis L I M tota congruet cum baſi D H F, vnde & pun-
ctum I cum puncto H; quare ſegmenta E I, E H inter ſe æqualia erunt,
ac propterea erit, in prima, ſegmentum quoque E H æquale B G, & in re-
liquis erit H E ad E O, vt G B ad B O. Quod primò oſtendere propone-
batur.

306.1.

40. h.
0269-01

Sint iam in tertia figura duæ portiones æquales A N C, D P F ſemi- El-
lipſi maiores, quarum ſegmenta diametrorum ſint G N, H P, & commune
centrum O. Dico item eſſe G N ad N O, vt H P ad P O.

Producantur diametri N G, P H, ad B, E.

Et cum portiones A N C, D P F ſint æquales, & ſemi- Ellipſi maiores
erunt quoque reliquæ A B C, D E F de eadem Ellipſi inter ſe æquales,
ſed ſemi- Ellipſi minores; quare erit, vt ſupra oſtendimus, G B ad B O,
vt H E ad E O, & conuertendo, & diuidendo O G ad G B, vt O H ad
H E, & eſt G B ad B O, vel ad O N, vt H E ad E O, vel ad O P, ergo,
ex æquali G O ad O N, vt H O ad O P, & componendo, G N ad N O,
vt H P ad P O. Quod vltimò erat, & c.

Waiting...

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