Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[51.] V.
Page: 84
[52.] DEMONSTRATIO SECVNDAE PARTIS.
Page: 85 (37)
[53.] COMMENTARIVS.
Page: 87 (38)
[54.] DEMONSTRATIO TERTIAE PARTIS.
Page: 90
[55.] COMMENTARIVS.
Page: 93 (41)
[56.] DEMONSTRATIO QVARTAE PARTIS.
Page: 97 (43)
[57.] DEMONSTRATIO QVINT AE PARTIS.
Page: 99 (44)
[58.] FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.
Page: 102
[59.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.
Page: 105
[60.] CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.
Page: 105
[61.] ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.
Page: 107
[62.] FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.
Page: 113 (1)
[63.] PETITIONES.
Page: 114
[64.] THEOREMA I. PROPOSITIO I.
Page: 114
[65.] THEOREMA II. PROPOSITIO II.
Page: 118
[66.] THE OREMA III. PROPOSITIO III.
Page: 121 (5)
[67.] THE OREMA IIII. PROPOSITIO IIII.
Page: 122
[68.] ALITER.
Page: 123 (6)
[69.] THEOREMA V. PROPOSITIO V.
Page: 125 (7)
[70.] COROLLARIVM.
Page: 127 (8)
[71.] THEOREMA VI. PROPOSITIO VI.
Page: 127 (8)
[72.] THE OREMA VII. PROPOSITIO VII.
Page: 129 (9)
[73.] THE OREMA VIII. PROPOSITIO VIII.
Page: 131 (10)
[74.] THE OREMA IX. PROPOSITIO IX.
Page: 143 (15)
[75.] PROBLEMA I. PROPOSITIO X.
Page: 145 (17)
[76.] PROBLEMA II. PROPOSITIO XI.
Page: 146
[77.] PROBLEMA III. PROPOSITIO XII.
Page: 147 (18)
[78.] PROBLEMA IIII. PROPOSITIO XIII.
Page: 148
[79.] THEOREMA X. PROPOSITIO XIIII.
Page: 149 (19)
[80.] THE OREMA XI. PROPOSITIO XV.
Page: 153 (21)
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198FED. COMMANDINI dris s g, t u eſſe
147[Figure 147] punctum υ &
totius figuræ in
ſcriptæ, quæ cõ-
ſtat ex cylindris
q r, ſ g, t u eſſe φ
centrum. Sunt
enim hi cylindri
æquales & ſimi-
les cylindris y z,
K ν, θ λ, figuræ
circumſcriptæ.
Quoniã igitur
ut b e ad e d, ita
eſt o p ad p n;
utraq; enim u-
triuſque eſt du-
pla: erit compo
nendo, ut b d ad
d e, ita o n ad n
p; & permutan
do, ut b d ad o
n, ita d e ad n p.
Sed b d dupla
eſt o n. ergo &
e d ipſius n p du
pla erit. quòd ſi
e d bifariam di-
uidatur ĩ χ, erit
χ d, uel e χ æ-
qualis n p: &
ſublata e n, quæ
eſt cõmunis u-
trique e χ, p

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