Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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DE IIS QVAE VEH. IN AQVA.
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          <p>
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              <pb o="13" file="0037" n="37" rhead="DE IIS QVAE VEH. IN AQVA."/>
            b: </s>
            <s xml:space="preserve">iunctaq; </s>
            <s xml:space="preserve">br producatur: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit g centrum grauitatis
              <lb/>
            reliquæ figuræ isla. </s>
            <s xml:space="preserve">ſimiliter demonſtrabitur angulum
              <lb/>
            rok acutu eſ-
              <lb/>
              <anchor type="figure" xlink:label="fig-0037-01a" xlink:href="fig-0037-01"/>
            ſe: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">perpendi
              <lb/>
            culare ab r ad
              <lb/>
            k ω ductam ca
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            dereinter k & </s>
            <s xml:space="preserve">
              <lb/>
            o, quæ ſit rt.
              <lb/>
            </s>
            <s xml:space="preserve">ſi autem à pun
              <lb/>
            ctis g b ducan
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            tur ipſi r t æqui
              <lb/>
            diſtantes; </s>
            <s xml:space="preserve">pars
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            quidem ſolidæ
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            magnitudinis,
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            quæ in humido eſt, ſurſum feretur ſecundum perpendicu-
              <lb/>
            larem per g ductam: </s>
            <s xml:space="preserve">quæ autem extra humidum ſecundũ
              <lb/>
            perpendicularem per b deorſum feretur: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">non manebit
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            ſolidum a p o l ſic habens in humido: </s>
            <s xml:space="preserve">ſed quod quidem
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            eſt ad a feretur ſurſum: </s>
            <s xml:space="preserve">quod autem ad l deorſum, donec
              <lb/>
            p f fiat ſecundum perpendicularem.</s>
            <s xml:space="preserve"/>
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            <figure xlink:label="fig-0037-01" xlink:href="fig-0037-01a">
              <image file="0037-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0037-01"/>
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        <div type="section" level="1" n="25">
          <head xml:space="preserve">PROPOSITIO IIII.</head>
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              <emph style="sc">Recta</emph>
            portio conoidis rectanguli, quando
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            fuerit humido leuior, & </s>
            <s xml:space="preserve">axem habuerit maiorẽ,
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            qnàm ſeſquialterum eius, quæ uſque ad axem: </s>
            <s xml:space="preserve">ſi
              <lb/>
            in grauitate ad humidum æqualis molis non mi-
              <lb/>
            norem proportionem habeat ea, quàm quadra-
              <lb/>
            tũ, quod fit ab exceſſu, quo axis maior eſt, quàm
              <lb/>
            ſeſquialter eius, quæ uſque ad axẽ, habet ad qua-
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            dratum, quod ab axe; </s>
            <s xml:space="preserve">demiſſa in humidum, ita</s>
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