Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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              <pb o="34" file="0079" n="79" rhead="DE IIS QVAE VEH. IN AQVA."/>
            ſectione e f c diuiditur: </s>
            <s xml:id="echoid-s2008" xml:space="preserve">pars uero lineæ c a, quæ eſt in-
              <lb/>
            ter duas ſectiones proportione reſpondebit parti lineæ
              <lb/>
            ductæ, quæ itidem inter eaſdem ſectiones interiicitur; </s>
            <s xml:id="echoid-s2009" xml:space="preserve">hoc
              <lb/>
            est ut in propoſita figura, ſi producatur d b uſque ad c h
              <lb/>
            in l, ut ſectioni e f c in puncto m occurrat; </s>
            <s xml:id="echoid-s2010" xml:space="preserve">lineam l
              <lb/>
            b ad b m eãdem proportionem habere, quàm c e ad e a.</s>
            <s xml:id="echoid-s2011" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s2012" xml:space="preserve">Produc. </s>
            <s xml:id="echoid-s2013" xml:space="preserve">itur enim
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                <image file="0079-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0079-01"/>
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            q f ad eandem lineá
              <lb/>
            c h in n, ſecás a b c
              <lb/>
            ſectionem in o: </s>
            <s xml:id="echoid-s2014" xml:space="preserve">& </s>
            <s xml:id="echoid-s2015" xml:space="preserve">
              <lb/>
            iuncta b c, quæ tran
              <lb/>
            ſibit per f, ut oſten-
              <lb/>
            ſum eſt, erunt trian-
              <lb/>
            gula c g f, c d b ſi-
              <lb/>
            milia: </s>
            <s xml:id="echoid-s2016" xml:space="preserve">itémq; </s>
            <s xml:id="echoid-s2017" xml:space="preserve">ſimi-
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            lia íter ſe, c f n, c b l.
              <lb/>
            </s>
            <s xml:id="echoid-s2018" xml:space="preserve">quare ut g f ad d b,
              <lb/>
              <note position="right" xlink:label="note-0079-01" xlink:href="note-0079-01a" xml:space="preserve">4. ſexti:</note>
            ita erit c f ad c b:
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            </s>
            <s xml:id="echoid-s2019" xml:space="preserve">& </s>
            <s xml:id="echoid-s2020" xml:space="preserve">ut c f ad c b, ita
              <lb/>
            f n ad b l. </s>
            <s xml:id="echoid-s2021" xml:space="preserve">ergo g f
              <lb/>
              <note position="right" xlink:label="note-0079-02" xlink:href="note-0079-02a" xml:space="preserve">11. quinti</note>
            ad d b, ut f n ad b l:
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            </s>
            <s xml:id="echoid-s2022" xml:space="preserve">& </s>
            <s xml:id="echoid-s2023" xml:space="preserve">permutando g f
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            ad f n, ut d b ad b l. </s>
            <s xml:id="echoid-s2024" xml:space="preserve">
              <lb/>
            eſt autem d b æqua
              <lb/>
            lis ipſi b l ex trigeſi
              <lb/>
            maquinta primi li-
              <lb/>
              <note position="right" xlink:label="note-0079-03" xlink:href="note-0079-03a" xml:space="preserve">14. quinti</note>
            bri conicorum. </s>
            <s xml:id="echoid-s2025" xml:space="preserve">ergo
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            & </s>
            <s xml:id="echoid-s2026" xml:space="preserve">g f ipſi p i æqua
              <lb/>
            lis erit: </s>
            <s xml:id="echoid-s2027" xml:space="preserve">& </s>
            <s xml:id="echoid-s2028" xml:space="preserve">ex trige
              <lb/>
            ſimatertia eiuſdem
              <lb/>
            linea c h ſectionem
              <lb/>
            e f c in eodem </s>
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