Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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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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          <head xml:id="echoid-head80" xml:space="preserve">THE OREMA VIII. PROPOSITIO VIII.</head>
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            <s xml:id="echoid-s3336" xml:space="preserve">Cuiuslibet priſmatis, & </s>
            <s xml:id="echoid-s3337" xml:space="preserve">cuiuslibet cylindri, uel
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            cylindri portionis grauitatis centrum in medio
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            ipſius axis conſiſtit.</s>
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          <p>
            <s xml:id="echoid-s3339" xml:space="preserve">Sit primum a f priſma æ quidiſtantibus planis contentũ,
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            quod ſolidum parallelepipedum appellatur: </s>
            <s xml:id="echoid-s3340" xml:space="preserve">& </s>
            <s xml:id="echoid-s3341" xml:space="preserve">oppoſito-
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            rum planorum c f, a h, d a, f g latera bifariam diuidantur in
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            punctis k l m n o p q r s t u x: </s>
            <s xml:id="echoid-s3342" xml:space="preserve">& </s>
            <s xml:id="echoid-s3343" xml:space="preserve">per diuiſiones ducantur
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            plana κ n, o r, s x. </s>
            <s xml:id="echoid-s3344" xml:space="preserve">communes autem eorum planorum ſe-
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            ctiones ſint lineæ y z, θ φ, χ ψ: </s>
            <s xml:id="echoid-s3345" xml:space="preserve">quæ in puncto ω conueniãt.
              <lb/>
            </s>
            <s xml:id="echoid-s3346" xml:space="preserve">erit ex decima eiuſdem libri Archimedis parallelogrammi
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            c f centrum grauitatis punctum y; </s>
            <s xml:id="echoid-s3347" xml:space="preserve">parallelogrammi a </s>
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