Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of handwritten notes

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          <pb o="17" file="0145" n="145" rhead="DE CENTRO GRAVIT. SOLID."/>
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        <div xml:id="echoid-div226" type="section" level="1" n="75">
          <head xml:id="echoid-head82" xml:space="preserve">PROBLEMA I. PROPOSITIO X.</head>
          <p>
            <s xml:id="echoid-s3677" xml:space="preserve">
              <emph style="sc">Data</emph>
            qualibet pyramide, fieri poteſt, ut fi-
              <lb/>
            gura ſolida in ipſa in ſcribatur, & </s>
            <s xml:id="echoid-s3678" xml:space="preserve">altera circũſcri-
              <lb/>
            batur ex priſmatibus æqualem aItitudinem ha-
              <lb/>
            bẽtibus, ita ut cir cumſcripta inſcriptam excedat
              <lb/>
            magnitudine, quæ minor ſit quacũque ſolida ma
              <lb/>
            gnitudine propoſita.</s>
            <s xml:id="echoid-s3679" xml:space="preserve"/>
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          <figure number="99">
            <image file="0145-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0145-01"/>
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          <p>
            <s xml:id="echoid-s3680" xml:space="preserve">Sit pyramis, cuius baſis
              <lb/>
            triangulũ a b c; </s>
            <s xml:id="echoid-s3681" xml:space="preserve">axis d e.
              <lb/>
            </s>
            <s xml:id="echoid-s3682" xml:space="preserve">Sitq; </s>
            <s xml:id="echoid-s3683" xml:space="preserve">priſma, quod eandẽ
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            baſim habeat, & </s>
            <s xml:id="echoid-s3684" xml:space="preserve">axem eun
              <lb/>
            dem. </s>
            <s xml:id="echoid-s3685" xml:space="preserve">Itaque hoc priſma-
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            te continenter ſecto bifa-
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            riam, plano baſi æquidiftã
              <lb/>
            te, relinquetur tãdem priſ
              <lb/>
            ma quoddam minus pro-
              <lb/>
            poſita magnitudine: </s>
            <s xml:id="echoid-s3686" xml:space="preserve">quod
              <lb/>
            quidem baſim eandem ha
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            beat, quam pyramis, & </s>
            <s xml:id="echoid-s3687" xml:space="preserve">a-
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            xem e f. </s>
            <s xml:id="echoid-s3688" xml:space="preserve">diuidatur d e in
              <lb/>
            partes æquales ipſi e f in
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            punctis g h k l m n: </s>
            <s xml:id="echoid-s3689" xml:space="preserve">& </s>
            <s xml:id="echoid-s3690" xml:space="preserve">per
              <lb/>
            diuiſiones plana ducãtur: </s>
            <s xml:id="echoid-s3691" xml:space="preserve">
              <lb/>
            quæ baſibus æquidiſtent,
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            erunt ſectiones, triangula
              <lb/>
            ipſi a b c ſimilia, ut proxi-
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            me oſtendimus. </s>
            <s xml:id="echoid-s3692" xml:space="preserve">ab uno
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            quoque autẽ horum trian
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            gulorum duo priſmata cõ
              <lb/>
            ſtruantur; </s>
            <s xml:id="echoid-s3693" xml:space="preserve">unum quidem
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            ad partes e; </s>
            <s xml:id="echoid-s3694" xml:space="preserve">alterum </s>
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