Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
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150FED. COMMANDINI tius figuræ inſcriptæ centrum grauitatis eſt in linea r e:
quod ſit τ: iũ-
103[Figure 103] ctaque τ f, &

producta
, à
puncto
h du-
catur
linea a-
xi
pyramidis
æquidiſtans
,
quæ
linea
τ
f conueniat
in
φ.
habebit
φ
τ ad τ f ean-
dem
propor-
tionem
, quã
h
e ad e g.
Quoniam igi
tur
exceſſus,
quo
circũſcri
pta
figura in-
ſcriptam
ſupe
rat
, minor eſt
ſolido
K;
py-
ramis
ad eun-
dẽ
exceſsũ ma
ioré
propor-
tionȩ
habet,
quàm
ad _K_ ſo
lidum
:
uideli
cet
maiorem,
quàm
linea h
e
ad e g;
hoc
eſt
quam φ τ
ad
τ f:
& propterea multo maiorem habet ad partem ex-
ceſſus
, quæ intra pyramidem comprehenditur.
Itaque

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