Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
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215DE IIS QVAE VEH. IN AQVA. midi ſuperficie extare. Quare conſtat magnitudinem a
tanta ui ſurſum ferri, quãta deorſum premitur ab eo, quod
eſt ſupra;
uidelicet à d, cũ neutra ab altera expellatur, ſed
d fertur deorſum tanta grauitate, quanta eſt c:
ponebatur
enim grauitas eius, in quo d ipſi c æqualis.
patet igitur
illud quod demonſtrare oportebat.
PROPOSITIO VII.
Solidae magnitudines humido grauiores
demiſſæ in humidum ferentur deorſum, donec
deſcendant:
& erunt in humido tanto leuiores,
quanta eſt grauitas humidi molem habentis ſoli-
dæ magnitudini æqualem.
SOLIDAS magnitudines humido grauiores, in hu-
midum demiſſas deorſum quidam ferri, donec deſcẽdant,
manifeſtum eſt:
partes enim humidi, quæ ſub eis ſunt, pre-
muntur magis, quàm partes æqualiter ipſis adiacentes;
quoniam magnitudo ſolida humido grauior ponitur: le-
uiores autem eſſe uti dictum eſt, demonſtrabitur hoc mo-
do.
Sit enim aliqua ma-
10[Figure 10] gnitudo a grauior hu-
mido:
& fit magnitudi-
nis quidem a grauitas
b c:
humidi uero molẽ
habentis æqualem ipſi a
grauitas ſit b.
demon-
ſtrandum eſt magnitudi
nem a in humido exiſtē
tem habere grauitatem
æqualem ipſi c.
Accipia
tur enim alia aliqua magnitudo, in qua d, leuior humido;

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