Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo
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          <pb o="19" file="0149" n="149" rhead="DE CENTRO GRAVIT. SOLID."/>
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        <div xml:id="echoid-div231" type="section" level="1" n="79">
          <head xml:id="echoid-head86" xml:space="preserve">THEOREMA X. PROPOSITIO XIIII.</head>
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            <s xml:id="echoid-s3761" xml:space="preserve">Cuiuslibet pyramidis, & </s>
            <s xml:id="echoid-s3762" xml:space="preserve">cuiuslibet coni, uel
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            coni portionis, centrum grauitatis in axe cõſiſtit.</s>
            <s xml:id="echoid-s3763" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3764" xml:space="preserve">SIT pyramis, cuius baſis triangulum a b c: </s>
            <s xml:id="echoid-s3765" xml:space="preserve">& </s>
            <s xml:id="echoid-s3766" xml:space="preserve">axis d e.
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            </s>
            <s xml:id="echoid-s3767" xml:space="preserve">Dico in linea d e ipſius grauitatis centrum ineſſe. </s>
            <s xml:id="echoid-s3768" xml:space="preserve">Si enim
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            fieri poteſt, ſit centrum f: </s>
            <s xml:id="echoid-s3769" xml:space="preserve">& </s>
            <s xml:id="echoid-s3770" xml:space="preserve">ab f ducatur ad baſim pyrami
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            dis linea f g, axi æquidiſtans: </s>
            <s xml:id="echoid-s3771" xml:space="preserve">iunctaq; </s>
            <s xml:id="echoid-s3772" xml:space="preserve">e g ad latera trian-
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            guli a b c producatur in h. </s>
            <s xml:id="echoid-s3773" xml:space="preserve">quam uero proportionem ha-
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            bet linea h e ad e g, habeat pyramis ad aliud ſolidum, in
              <lb/>
            quo K: </s>
            <s xml:id="echoid-s3774" xml:space="preserve">inſcribaturq; </s>
            <s xml:id="echoid-s3775" xml:space="preserve">in pyramide ſolida figura, & </s>
            <s xml:id="echoid-s3776" xml:space="preserve">altera cir
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            cumſcribatur ex priſmatibus æqualem habentibus altitu-
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            dinem, ita ut circumſcripta inſcriptam exuperet magnitu-
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            dine, quæ ſolido _k_ ſit minor. </s>
            <s xml:id="echoid-s3777" xml:space="preserve">Et quoniam in pyramide pla
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            num baſi æquidiſtans ductum ſectionem facit figuram ſi-
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            milem ei, quæ eſt baſis; </s>
            <s xml:id="echoid-s3778" xml:space="preserve">centrumq; </s>
            <s xml:id="echoid-s3779" xml:space="preserve">grauitatis in axe haben
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            tem: </s>
            <s xml:id="echoid-s3780" xml:space="preserve">erit priſmatis s t grauitatis centrũ in linear q; </s>
            <s xml:id="echoid-s3781" xml:space="preserve">priſ-
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            matis u x centrum in linea q p; </s>
            <s xml:id="echoid-s3782" xml:space="preserve">priſmatis y z in linea p o; </s>
            <s xml:id="echoid-s3783" xml:space="preserve">
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            priſmatis η θ in l_i_nea o n; </s>
            <s xml:id="echoid-s3784" xml:space="preserve">priſmatis λ μ in linea n m; </s>
            <s xml:id="echoid-s3785" xml:space="preserve">priſ-
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            matis ν π in m l; </s>
            <s xml:id="echoid-s3786" xml:space="preserve">& </s>
            <s xml:id="echoid-s3787" xml:space="preserve">denique priſmatis ρ σ in l e. </s>
            <s xml:id="echoid-s3788" xml:space="preserve">quare </s>
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