Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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              <pb file="0136" n="136" rhead="FED. COMMANDINI"/>
            medis. </s>
            <s xml:id="echoid-s3453" xml:space="preserve">ergo punctum v extra p riſima a f poſitum, centrũ
              <lb/>
            erit magnitudinis cõpoſitæ e x omnibus priſmatibus g z r,
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            r β t, t γ x, x δ k, k δ y, y u, u s, s α h, quod fieri nullo modo po
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            teſt. </s>
            <s xml:id="echoid-s3454" xml:space="preserve">eſt enim ex diſſinitione centrum grauitatis ſolidæ figu
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            ræ intra ipſam poſitum, non extra. </s>
            <s xml:id="echoid-s3455" xml:space="preserve">quare relinquitur, ut cẽ
              <lb/>
            trum grauitatis priſmatis ſit in linea K m. </s>
            <s xml:id="echoid-s3456" xml:space="preserve">Rurſus b c bifa-
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            riam in ξ diuidatur: </s>
            <s xml:id="echoid-s3457" xml:space="preserve">& </s>
            <s xml:id="echoid-s3458" xml:space="preserve">ducta a ξ, per ipſam, & </s>
            <s xml:id="echoid-s3459" xml:space="preserve">per lineam
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            a g d plan um ducatur; </s>
            <s xml:id="echoid-s3460" xml:space="preserve">quod priſma ſecet: </s>
            <s xml:id="echoid-s3461" xml:space="preserve">faciatq; </s>
            <s xml:id="echoid-s3462" xml:space="preserve">in paral
              <lb/>
            lelogrammo b f ſectionem ξ π di uidet punctum π lineam
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            quoque c f bifariam: </s>
            <s xml:id="echoid-s3463" xml:space="preserve">& </s>
            <s xml:id="echoid-s3464" xml:space="preserve">erit p lani eius, & </s>
            <s xml:id="echoid-s3465" xml:space="preserve">trianguli g h K
              <lb/>
            communis ſectio g u; </s>
            <s xml:id="echoid-s3466" xml:space="preserve">quòd p ũctum u in inedio lineæ h K
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              <figure xlink:label="fig-0136-01" xlink:href="fig-0136-01a" number="91">
                <image file="0136-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0136-01"/>
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            poſitum ſi t. </s>
            <s xml:id="echoid-s3467" xml:space="preserve">Similiter demonſtrabimus centrum grauita-
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            tis priſm atis in ipſa g u ineſſe. </s>
            <s xml:id="echoid-s3468" xml:space="preserve">ſit autem planorum c f n l,
              <lb/>
            a d π ξ communis ſectio linea ρ ο τ quæ quidem priſmatis
              <lb/>
            axis erit, cum tranſeat per centra grauitatis triangulorum
              <lb/>
            a b c, g h k, d e f, ex quartadecima eiuſdem. </s>
            <s xml:id="echoid-s3469" xml:space="preserve">ergo centrum
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            grauitatis pri ſmatis a f eſt punctum σ, centrum </s>
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