Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

PRopoſit. antacedens, aliter, quoad priorem partem,
oſtenſa.

0515-01

Sint quęcũq; figurę planę ęqualiter analogę iuxta regulã, GM,
ipſę, BHIC, DQK, quarum oppoſitę tangentes, AF, GM, regula pa-
riter, GM, parallelarũ, autẽ ipſi, GM, quotcumque portiones in vna-
que dictarum figurarum integrę ſint, ſiue non. Dico eaſdem ęqua-
les eſſe. Incidat ergo parallelis, AF, GM, quomodocumque recta
linea, EL, in eiſdem terminata, moueatur autem, GM, verſus, A
F, ſemper eidem, AF, ęquidiſtanter donec illi congruerit, interim
autem vnum punctum moueatur in eadem, GM, ſic mota, deſcri-
bens ambitum, I βΕ, figurę ęqualiter analogę ipſi, DQK, & aliud
punctum in eadem motum ad aliam partem, EL, deſcribat ambi-
turn figurę, EYL, ęqualiter a@ alogę ipſi, BHIC, in quibus quidem
ſic deſcriptis figuris conceptę ipſi, GM, parallelarum portiones
quęcumque integrę ſint. Erit ergo figura, @ βL, ęqualis figurę, E
YL, eſto autem quod in figura, DQK, conceptę portiones paral-
lelarum ipſi, GM, non omnes ſint integrę, ſed aliquę fractę per in-
teriorem ambitum, nempè, quę intercipiuntur parallelis, Q6, ΦΩ,
in quibus habeantur duo figurę fruſta, 67RΩ, CΦR, in quorum
tamen vnoquoque dictę parallelarum port ones integrę habean-
tur, ſit autem in motu, GM, a quodam runcto deſcripta linea,
& γ5, nempè ambitus figurę, 5 & ΣΤ, eodem modo, quo delcripti
fuerunt ambitus, @β@, EYL, g@ręinquam, 5& Σ @, ęqualiter ana-
logę fruſto, 7R Ω@; er tergorel@qu@ figura, 5Δ& , qualiter analo-
ga ſrulto, QΦ@, cumtota, Τ ΔΣ ſit toti compoſito ex fruſti, QΦ
R, 7R Ω6, ęqualiter analoga, & ſunt portiones ipſi, GM, paralle-

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