Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo
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            <s xml:id="echoid-s878" xml:space="preserve">
              <pb file="0042" n="42" rhead="ARCHIMEDIS"/>
            & </s>
            <s xml:id="echoid-s879" xml:space="preserve">ſectionis diameter no: </s>
            <s xml:id="echoid-s880" xml:space="preserve">ſuperſiciei autem humidi ſectio
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            ſit is. </s>
            <s xml:id="echoid-s881" xml:space="preserve">Quoniam igitur axis non eſt ſecundum perpendicu
              <lb/>
            larem; </s>
            <s xml:id="echoid-s882" xml:space="preserve">ipſa no cum is non faciet angulos æquales. </s>
            <s xml:id="echoid-s883" xml:space="preserve">Du-
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            catur k ω contingens ſectionem apol in p; </s>
            <s xml:id="echoid-s884" xml:space="preserve">atque ipſi is
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            æquidiſtans: </s>
            <s xml:id="echoid-s885" xml:space="preserve">per p autem ducatur p f æquidiſtās ipſi n o:
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            </s>
            <s xml:id="echoid-s886" xml:space="preserve">& </s>
            <s xml:id="echoid-s887" xml:space="preserve">ſumantur grauitatum centra: </s>
            <s xml:id="echoid-s888" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s889" xml:space="preserve">ipſius a p o l ſolidi
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            centrum r; </s>
            <s xml:id="echoid-s890" xml:space="preserve">eius quod extra humidum ſit b: </s>
            <s xml:id="echoid-s891" xml:space="preserve">& </s>
            <s xml:id="echoid-s892" xml:space="preserve">iuncta br
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            producatur adg,
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              <figure xlink:label="fig-0042-01" xlink:href="fig-0042-01a" number="25">
                <image file="0042-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0042-01"/>
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            quodſit centrum
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            grauitatis ſolidi ĩ
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            humido demerſi:
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            </s>
            <s xml:id="echoid-s893" xml:space="preserve">ſumatur præterea
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            r h æ qualis ei, quæ
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            uſque ad axẽ: </s>
            <s xml:id="echoid-s894" xml:space="preserve">o h
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            autem dupla ipſi-
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            us h m; </s>
            <s xml:id="echoid-s895" xml:space="preserve">& </s>
            <s xml:id="echoid-s896" xml:space="preserve">alia fiãt,
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            ſicuti ſuperius di-
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            ctum eſt. </s>
            <s xml:id="echoid-s897" xml:space="preserve">Itaque
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            cum portio ad hu
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            midum in grauita
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            te non maiorem
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            proportionem ha
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            bere ponatur, quã
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            exceſſus, quo quadratum n o excedit quadratum m o, ad
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            ipſum n o quadratum: </s>
            <s xml:id="echoid-s898" xml:space="preserve">& </s>
            <s xml:id="echoid-s899" xml:space="preserve">quam proportionem in grauita
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            te portio habet ad humidum æqualis molis, eandem ha-
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            beat magnitudo portionis demerſa ad totam portio-
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            nem, quod demonſtratum eſt in prima propoſitione: </s>
            <s xml:id="echoid-s900" xml:space="preserve">
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            magnitudo demerſa non maiorem proportionem ha-
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              <note position="left" xlink:label="note-0042-01" xlink:href="note-0042-01a" xml:space="preserve">11. quin-
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              ti.</note>
            bebit ad totam portionem, quàm ſit dicta illa propor-
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            portio. </s>
            <s xml:id="echoid-s901" xml:space="preserve">quare non maiorem proportionem habet tota
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              <note position="left" xlink:label="note-0042-02" xlink:href="note-0042-02a" xml:space="preserve">A</note>
            portio ad eam quæ eſt extra humidum, quàm quadratum
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            no ad quadratum m o. </s>
            <s xml:id="echoid-s902" xml:space="preserve">habet autem tota portio ad eam,
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              <note position="left" xlink:label="note-0042-03" xlink:href="note-0042-03a" xml:space="preserve">B</note>
            quæ extra humidum proportionem eandem, quam </s>
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Impressum