Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

GEOMETRIÆ cylndro parallelogrãmum, AN, & in ſemibaſi columnari figura,
HBON, quæ erit circa exem, CF, compoſita ex duabus figuris,
FBHF, FEON, ſimilibus, & æqualibus ei, quæ per reuolutionem
ſemibaſim columnarem, HBON, generat; patet ergo in hac Pro-
poſit. cylindrum, AN, ad ſemibaſem columnarem mediam para-
bo icam, HBON, eſſe vt quadratum baſis, HF, ad quadratũ, FG,
{1/2}. quadrati, GH, cum rectangulo ſub ſex quitertia, HG, & ſub, G
F; ſic verò etiam erit quodlibet ſolidum ſimilare genitum ex, AF,
ad ſibi ſimilare genitum ex figura, CBHF, iuxta communem re-
gulam, HF.

524.1.

0379-01

525. COROLLARIVM XXI.

IN Prop. 43. viſa ſuperioris figura, patebit cylindrum, AN, ad
ſolidum genitum in reuolutione ex fruſto maiori parabolæ,
EBHF, (quod vocetur Aceruus maior parabolicus) . ſ. ad Aceruũ,
HBEON, eſſe vt parallelepipedum ſub, BG, & quadrato, HF, ad
reliquum parallelepipedi ſub, BG, & his ſpatijs . ſ. quadrato, FG,
{1/2}. quadrati, GH, & rectangulo ſub ſexquitertia, HG, & ſub, GF,
ab eodem dempto 1 . parallelepipediſub, CE, & quadrato, FG; Sic etiam erit ſolidum ſimilare quodcunq; genitum ex, AF, ad ſibi
ſimilare genitum ex figura, CBHF, dempto ſolido ſimilari genito
ex trilineo, BCE, iuxta communem regulam, HF.

526. COROLLARIVM XXII.

IN Prop. 44. adiuncta ſuperioris figuræ linea, RV, parallela ipſi,
HF, quæ, RV, ſit producta vſq; in, X, per ſpſam ducatur pla-
num æquidiſtans baſi, HN, quod faciet in ſemibaſi columnari, HB
ON, communem factionem circulum, RX, habetur ergo hinc ſe-
mibaſim columnarem mediam parabolicam, HBON, ad abſciſſum
per circulum, RX, fruſtum, RBOX, eſſe vt parallelepipedum ſub,
BG, & his ſpatijs . ſ. quadrato, FG, {1/2}. quadrati, GH, & rectangulo
ſub ſexquitertia, HG, & ſub, GF, ad parallelepipedum ſub, BS, & ſexquitertia, RS, & ſub, SV. Veluti etiam erit quodlibet ſolidum
ſimilare genitum ex figura, CBHF, ad ſibi ſimilare genitum ex fi-
gura, CBRV, iuxca communem regulam, HF.

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