Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
dris s g, t u eſſe
Figure: /permanent/library/4E7V2WGH/figures/0198-01 not scanned
[Figure 145]
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 n,

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