Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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            <s xml:id="echoid-s3129" xml:space="preserve">
              <pb o="6" file="0123" n="123" rhead="DE CENTRO GRAVIT. SOLID."/>
            habebit maiorem proportionẽ,
              <lb/>
              <figure xlink:label="fig-0123-01" xlink:href="fig-0123-01a" number="79">
                <image file="0123-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0123-01"/>
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            quam c b ad b a. </s>
            <s xml:id="echoid-s3130" xml:space="preserve">fiat o b ad b a,
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            ut figura rectilinea ad portio-
              <lb/>
            nes. </s>
            <s xml:id="echoid-s3131" xml:space="preserve">cum igitur à circulo, uel el-
              <lb/>
            lipſi, cuius grauitatis centrum
              <lb/>
            eſt b, auferatur figura rectilinea
              <lb/>
            e f g h k l m n, cuius centrum a;
              <lb/>
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            <s xml:id="echoid-s3132" xml:space="preserve">reliquæ magnitudinis ex portio
              <lb/>
              <note position="right" xlink:label="note-0123-01" xlink:href="note-0123-01a" xml:space="preserve">8. Archi-
                <lb/>
              medis.</note>
            nibus compoſitæ centrum graui
              <lb/>
            tatis erit in linea a b producta,
              <lb/>
            & </s>
            <s xml:id="echoid-s3133" xml:space="preserve">in puncto o, extra figuram po
              <lb/>
            ſito. </s>
            <s xml:id="echoid-s3134" xml:space="preserve">quod quidem fieri nullo mo
              <lb/>
            do poſſe perſpicuum eſt. </s>
            <s xml:id="echoid-s3135" xml:space="preserve">ſequi-
              <lb/>
            tur ergo, ut circuli & </s>
            <s xml:id="echoid-s3136" xml:space="preserve">ellipſis cen
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            trum grauitatis ſit punctum a,
              <lb/>
            idem quod figuræ centrum.</s>
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          <head xml:id="echoid-head75" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s3138" xml:space="preserve">Sit circulus, uel ellipſis a b c d,
              <lb/>
            cuius diameter d b, & </s>
            <s xml:id="echoid-s3139" xml:space="preserve">centrum e: </s>
            <s xml:id="echoid-s3140" xml:space="preserve">ducaturq; </s>
            <s xml:id="echoid-s3141" xml:space="preserve">per e recta li
              <lb/>
            nea a c, ſecans ipſam d b adrectos angulos. </s>
            <s xml:id="echoid-s3142" xml:space="preserve">erunt a d c,
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            a b c circuli, uel ellipſis dimidiæ portiones. </s>
            <s xml:id="echoid-s3143" xml:space="preserve">Itaque quo-
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            niam por
              <lb/>
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                <image file="0123-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0123-02"/>
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            tiõis a d c
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            cétrū gra-
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            uitatis eſt
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            in diame-
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            tro d e: </s>
            <s xml:id="echoid-s3144" xml:space="preserve">& </s>
            <s xml:id="echoid-s3145" xml:space="preserve">
              <lb/>
            portionis
              <lb/>
            a b c cen-
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            trum eſt ĩ
              <lb/>
            ipſa e b: </s>
            <s xml:id="echoid-s3146" xml:space="preserve">to
              <lb/>
            tius circu
              <lb/>
            li, uel ellipſis grauitatis centrum eritin diametro d b.
              <lb/>
            </s>
            <s xml:id="echoid-s3147" xml:space="preserve">Sit autem portionis a d c cẽtrum grauitatis f: </s>
            <s xml:id="echoid-s3148" xml:space="preserve">& </s>
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