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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114FED. COMMANDINI tes æqueponderantes ipſam diuidet.
2 Priſmatis, cylindri, & portionis cylindri axem
appello rectam lineam, quæ oppoſitorum plano-
rum centra grauitatis coniungit.
3 Pyramidis, coni, & portionis coni axem dico li
neam, quæ à uertice ad centrum grauitatis baſis
perducitur.
4 Si pyramis, conus, portio coni, uel conoidis ſe-
cetur plano baſi æquidiſtante, pars, quæ eſt ad ba-
ſim, fruſtum pyramidis, coni, portionis coni, uel
conoidis dicetur;
quorum plana æquidiſtantia,
quæ opponuntur ſimilia ſunt, &
inæqualia: axes
uero ſunt axium figurarum partes, quæ in ipſis
comprehenduntur.
PETITIONES.
1 Solidarum figurarum ſimilium centra grauita-
tis ſimiliter ſunt poſita.
2 Solidis figuris ſimilibus, & æqualibus inter ſe
aptatis, centra quoque grauitatis ipſarum inter ſe
aptata erunt.
THEOREMA I. PROPOSITIO I.
Omnis figuræ rectilineæ in circulo deſcriptæ,
quæ æqualibus lateribus, &
angulis

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