Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[41.] COMMENTARIVS.
Page: 71 (30)
[42.] LEMMA I.
Page: 73 (37)
[43.] LEMMA II.
Page: 74
[44.] LEMMA III.
Page: 76
[45.] LEMMA IIII.
Page: 77 (25)
[46.] LEMMA V.
Page: 78
[47.] LEMMA VI.
Page: 81 (35)
[48.] II.
Page: 83 (36)
[49.] III.
Page: 83 (36)
[50.] IIII.
Page: 84
[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)
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128FED. COMMANDINI ergo linea a g continenter in duas partes æquales diui-
111. decimi ſa, relinquetur tãdem pars aliqua n g, quæ minor eritl m.
Vtraque uero linearum a g, g b diuidatur in partes æqua-
les ipſi n g: & per puncta diuiſionum plana oppoſitis pla-
225 huius nis æquidiſtantia ducantur. erunt ſectiones figuræ æqua-
les, ac ſimiles ipſis a c e, b d f: & totum priſma diuiſum erit
in priſmata æqualia, & ſimilia: quæ cum inter ſe congruãt;
& grauitatis centra ſibi ipſis congruentia, reſpondentiaq;
habebunt. Itaq:
84[Figure 84] ſunt magnitudi-
nes quædã æqua-
les ipſi n h, & nu-
mero pares, qua-
rum centra gra-
uitatis in eadẽ re
cta linea conſti-
tuuntur: duæ ue-
ro mediæ æqua-
les ſunt: & quæ ex
utraque parte i-
pſarum ſimili --
ter æquales: & æ-
quales rectæ li-
neæ, quæ inter
grauitatis centra
interiiciuntur.
quare ex corolla-
rio quintæ pro-
poſitionis primi
libri Archimedis
de centro graui-
tatis planorum; magnitudinis ex his omnibus compoſitæ
centrum grauitatis eſt in medio lineæ, quæ magnitudi-
num mediarum centra coniungit. at qui non ita res

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