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.
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
, 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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