Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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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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page |< < of 213 > >|
162FED. COMMANDINI erunteadem ra-
116[Figure 116] tione priſmata a
e, f m inter ſe æ-
qualia.
quare ſi-
militer demon-
ſtrabitur priſma
f m ad priſma f l
eandem habere
proportionem,
quam priſmatis
f m altitudo ad
altitudinem ip-
ſius f l.
ergo & priſma a e ad priſma f l eandem propor-
tionem habebit, quam altitudo ad altitudinem.
ſequitur
igitur ut &
pyramides, quæ in æqualibus baſibus conſtituũ
tur, eandem inter ſe ſe, quam altitudines, proportionem
habeant.
117[Figure 117]
Sint deinde priſmata a e, a f in eadem baſi a b c d; quorũ
axes cum baſibus æ quales angulos contineant:
& ſit

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