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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30
ARCHIMEDIS DE IIS
QVAE VEHVNTVR IN AQVA
LIBER SECVNDVS.
CVM COMMENTARIIS FEDERICI
COMMANDINI VRBINATIS.
PROPOSITIO I.
SI magnitudo aliqua humido
leuior demittatur in humi-
dum, eam in grauitate pro-
portionem habebit ad humi-
dum æqualis molis, quã pars
magnitudinis demerſa habet
ad totam magnitudinem.
DEMITTATVR enim in humidum aliqua magni-
tudo ſolida, quæ ſit fa, leuior humido:
& pars quidem ip-
ſius demerſa ſit a;
quæ autem extra humidum f. demon-
ſtrandum eſt, ma
18[Figure 18] gnitudinem f a
ad humidum æ-
qualis molis eam
in grauitate pro-
portionem habe
re, quam habet
a ad fa.
accipiatur enim aliqua humidi magnitudo n

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