Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[51.] V.
[52.] DEMONSTRATIO SECVNDAE PARTIS.
[53.] COMMENTARIVS.
[54.] DEMONSTRATIO TERTIAE PARTIS.
[55.] COMMENTARIVS.
[56.] DEMONSTRATIO QVARTAE PARTIS.
[57.] DEMONSTRATIO QVINT AE PARTIS.
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
[63.] PETITIONES.
[64.] THEOREMA I. PROPOSITIO I.
[65.] THEOREMA II. PROPOSITIO II.
[66.] THE OREMA III. PROPOSITIO III.
[67.] THE OREMA IIII. PROPOSITIO IIII.
[68.] ALITER.
[69.] THEOREMA V. PROPOSITIO V.
[70.] COROLLARIVM.
[71.] THEOREMA VI. PROPOSITIO VI.
[72.] THE OREMA VII. PROPOSITIO VII.
[73.] THE OREMA VIII. PROPOSITIO VIII.
[74.] THE OREMA IX. PROPOSITIO IX.
[75.] PROBLEMA I. PROPOSITIO X.
[76.] PROBLEMA II. PROPOSITIO XI.
[77.] PROBLEMA III. PROPOSITIO XII.
[78.] PROBLEMA IIII. PROPOSITIO XIII.
[79.] THEOREMA X. PROPOSITIO XIIII.
[80.] THE OREMA XI. PROPOSITIO XV.
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66ARCHIMEDIS quàm q; & p h maior, quàm dupla h m. Sit igitur
p
z dupla ip-
42[Figure 42] ſius z m:
& iun
cta
z t produca
tur
ad g.
erit
totius
quidem
portionis
gra-
uitatis
centrũ
t
:
eius, quæ eſt
extra
humidũ
z
:
reliquæ uero
partis
, quæ in
humido
, cen-
trum
erit in li-
nea
z t produ-
cta
;
quod ſit g.
demõſtrabitur
ſimiliter
, ut
prius
, th per-
pẽdicularis
ad
ſuperficiem
hu
midi
:
& quæ
per
z, g ducun-
tur
æquidiſtan-
tes
ipſi th, ad
eandem
perpẽ
diculares
.
ergo
portio
, quæ eſt
extra
humidũ
deorſum
fere-
tur
ſecundum
eam
quæ per z
tranſit
;
quæ ue
to
intra

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