Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
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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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