Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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198FED. COMMANDINI dris s g, t u eſſe
147[Figure 147] punctum υ &

totius
figuræ in
ſcriptæ
, quæ cõ-
ſtat
ex cylindris
q
r, ſ g, t u eſſe φ
centrum
.
Sunt
enim
hi cylindri
æquales
&
ſimi-
les
cylindris y z,
K
ν, θ λ, figuræ
circumſcriptæ
.
Quoniã igitur
ut
b e ad e d, ita
eſt
o p ad p n;

utraq
;
enim u-
triuſque
eſt du-
pla
:
erit compo
nendo
, ut b d ad
d
e, ita o n ad n
p
;
& permutan
do
, ut b d ad o
n
, ita d e ad n p.

Sed
b d dupla
eſt
o n.
ergo &
e
d ipſius n p du
pla
erit.
quòd ſi
e
d bifariam di-
uidatur
ĩ χ, erit
χ
d, uel e χ æ-
qualis
n p:
&
ſublata
e n, quæ
eſt
cõmunis u-
trique
e χ, p

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