Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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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