Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
[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.
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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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            <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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