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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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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