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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14115DE CENTRO GRAVIT. SOLID. bere proportionem, quam ſpacium g h ad dictã
figuram, hoc modo demonſtrabimus.
Intelligatur circulus, uel ellipſis x æqualis figuræ rectili-
neæ in g h ſpacio deſcriptæ: & ab x conſtituatur conus, uel
95[Figure 95] coni portio, altitudinẽ habens eandẽ, quã cylindrus uel cy
lindri portio c e. Sit deinde rectilinea figura, in quay eade,
quæ in ſpacio g h deſcripta eſt: & ab hac pyramis æquealta
conſtituatur. Dico conũ uel coni portionẽ x pyramidiy æ-
qualẽ eſſe. niſi enim ſit æqualis, uel maior, uel minor erit.
Sit primum maior, et exuperet ſolido z. Itaque in circu
lo, uel ellipſi x deſcribatur figura rectilinea; & in ea pyra-
mis eandem, quam conus, uel coni portio altitudinem ha-
bens, ita ut portiones relictæ minores ſint ſolido z, quem-
admodum docetur in duodecimo libro elementorum pro
poſitione undecima. erit pyramis x adhuc pyramide y ma
ior. & quoniam piramides æque altæ inter ſe ſunt, ſicuti ba
116. duode-
cimi. ſes; pyramis x ad piramidem y eandem proportionem ha-
bet, quàm figura rectilinea x ad figuram y. Sed ſigura

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