Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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296276GEOMETRIÆ reuoluatur, Δ V, circa manentem axim, RV, cylindrus igitur geni-
190[Figure 190] tus ex reuolutione,
Δ V, adſolidum ge-
nitum ex reuolutio-
ne portionis, RF
V, habebit ſupradi-
ctam rationem;
hoc
autem ſolidumiam
vocauimus:
Malum
citrium, ſi, RFV,
ſit portio circuli, ce-
terum, ſi ſit portio
ellipſis, vocetur;
O-
liua genita ex tali
portione;
eadem au-
tem rationem habe-
re ſolida ſimilaria genita ex, Δ V, &
portione, RFV, (intellige ſem-
pergenita iuxta regulam ibi aſſumptam, ſcilicet iuxta regulam, FM,)
iam ſuperius diximus.
COROLLARIVM XXIII.
IN Propof.
191[Figure 191] 26. peiſdẽ
antecedẽtis fi-
guris colligi-
tur ſolidu ſi-
milare genitũ
iuxta regulã,
FM, ad ſibi
ſimilare geni-
tum iuxta re-
gulam, RV,
eſſe vt paral-
lelepiped.
ſub
baſi rectãgu-
lo, qđ dicitur
reſiduum an-
reced.
Theor.
altitudine tri-
pla, MH, ad
parallelepipedum ſub baſi rectangulo ipſius, FM, ductæ in, RV, al-
titudine linea compoſita ex, MH, HN.
Pronoſtro exemplo

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