Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[Item 1.]
[2.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.
[3.] CVM PRIVILEGIO IN ANNOS X. BONONIAE,
[4.] M D LXV.
[5.] RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[6.] Federicus Commandinus.
[7.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.
[8.] PROPOSITIO I.
[9.] PROPOSITIO II.
[10.] PROPOSITIO III.
[11.] PROPOSITIO IIII.
[12.] PROPOSITIO V.
[13.] PROPOSITIO VI.
[14.] PROPOSITIO VII.
[15.] POSITIO II.
[16.] COMMENTARIVS.
[17.] PROPOSITIO VIII.
[18.] COMMENTARIVS.
[19.] PROPOSITIO IX.
[20.] COMMENTARIVS.
[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.
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page |< < of 213 > >|
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 cũ 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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