Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of handwritten notes

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              <pb o="3" file="0117" n="117" rhead="DE CENTRO GRAVIT. SOLID."/>
            cta b d in g puncto, ducatur c g; </s>
            <s xml:id="echoid-s2926" xml:space="preserve">& </s>
            <s xml:id="echoid-s2927" xml:space="preserve">protrahatur ad circuli
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            uſque circumferentiam; </s>
            <s xml:id="echoid-s2928" xml:space="preserve">quæ ſecet a e in h. </s>
            <s xml:id="echoid-s2929" xml:space="preserve">Similiter conclu
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            demus c g per centrum circuli tranſire: </s>
            <s xml:id="echoid-s2930" xml:space="preserve">& </s>
            <s xml:id="echoid-s2931" xml:space="preserve">bifariam ſecare
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            lineam a e; </s>
            <s xml:id="echoid-s2932" xml:space="preserve">itemq́; </s>
            <s xml:id="echoid-s2933" xml:space="preserve">lineas b d, a e inter ſe æquidiſtantes eſſe.
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            </s>
            <s xml:id="echoid-s2934" xml:space="preserve">Cumigitur c g per centrum circuli tranſeat; </s>
            <s xml:id="echoid-s2935" xml:space="preserve">& </s>
            <s xml:id="echoid-s2936" xml:space="preserve">ad punctũ
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            f perueniat neceſſe eſt: </s>
            <s xml:id="echoid-s2937" xml:space="preserve">quòd c d e f ſit dimidium circumfe
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            rentiæ circuli. </s>
            <s xml:id="echoid-s2938" xml:space="preserve">Quare in eadem
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              <figure xlink:label="fig-0117-01" xlink:href="fig-0117-01a" number="73">
                <image file="0117-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0117-01"/>
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            diametro c f erunt centra gra
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              <note position="right" xlink:label="note-0117-01" xlink:href="note-0117-01a" xml:space="preserve">13. Archi
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              medis.</note>
            uitatis triangulorum b c d,
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            a f e, & </s>
            <s xml:id="echoid-s2939" xml:space="preserve">quadrilateri a b d e, ex
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              <note position="right" xlink:label="note-0117-02" xlink:href="note-0117-02a" xml:space="preserve">9. @iuſdé.</note>
            quibus conſtat hexagonum a b
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            c d e f. </s>
            <s xml:id="echoid-s2940" xml:space="preserve">perſpicuum eſt igitur in
              <lb/>
            ipſa c f eſſe circuli centrum, & </s>
            <s xml:id="echoid-s2941" xml:space="preserve">
              <lb/>
            centrum grauitatis hexagoni.
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            </s>
            <s xml:id="echoid-s2942" xml:space="preserve">Rurſus ducta altera diametro
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            a d, eiſdem rationibus oſtende-
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            mus in ipſa utrumque cẽtrum
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            ineſſe. </s>
            <s xml:id="echoid-s2943" xml:space="preserve">Centrum ergo grauita-
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            tis hexagoni, & </s>
            <s xml:id="echoid-s2944" xml:space="preserve">centrum circuli idem erit.</s>
            <s xml:id="echoid-s2945" xml:space="preserve"/>
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            <s xml:id="echoid-s2946" xml:space="preserve">Sit heptagonum a b c d e f g æquilaterum atque æquian
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            gulum in circulo deſcriptum:
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            </s>
            <s xml:id="echoid-s2947" xml:space="preserve">
              <figure xlink:label="fig-0117-02" xlink:href="fig-0117-02a" number="74">
                <image file="0117-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0117-02"/>
              </figure>
            & </s>
            <s xml:id="echoid-s2948" xml:space="preserve">iungantur c e, b f, a g: </s>
            <s xml:id="echoid-s2949" xml:space="preserve">di-
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            uiſa autem c e bifariam in pũ
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            cto h: </s>
            <s xml:id="echoid-s2950" xml:space="preserve">& </s>
            <s xml:id="echoid-s2951" xml:space="preserve">iuncta d h produca-
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            tur in k. </s>
            <s xml:id="echoid-s2952" xml:space="preserve">non aliter demon-
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            ſtrabimus in linea d k eſſe cen
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            trum circuli, & </s>
            <s xml:id="echoid-s2953" xml:space="preserve">centrum gra-
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            uitatis trianguli c d e, & </s>
            <s xml:id="echoid-s2954" xml:space="preserve">tra-
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            peziorum b c e f, a b f g, hoc
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            eſt centrum totius heptago-
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            ni: </s>
            <s xml:id="echoid-s2955" xml:space="preserve">& </s>
            <s xml:id="echoid-s2956" xml:space="preserve">rurſus eadem centra in
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            alia diametro cl ſimiliter du-
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            cta contineri. </s>
            <s xml:id="echoid-s2957" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s2958" xml:space="preserve">centrum grauitatis heptagoni, & </s>
            <s xml:id="echoid-s2959" xml:space="preserve">
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            centrum circuli in idem punctum conucniunt. </s>
            <s xml:id="echoid-s2960" xml:space="preserve">Eodem </s>
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