Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
71 30
72
73 37
74
75 32
76
77 25
78
79 34
80
81 35
82
83 36
84
85 37
86
87 38
88
89 39
90
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
< >
page |< < (34) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div144" type="section" level="1" n="46">
          <p style="it">
            <s xml:id="echoid-s2007" xml:space="preserve">
              <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"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2012" xml:space="preserve">Produc. </s>
            <s xml:id="echoid-s2013" xml:space="preserve">itur enim
              <lb/>
              <figure xlink:label="fig-0079-01" xlink:href="fig-0079-01a" number="49">
                <image file="0079-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0079-01"/>
              </figure>
            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-
              <lb/>
            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:
              <lb/>
            </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:
              <lb/>
            </s>
            <s xml:id="echoid-s2022" xml:space="preserve">& </s>
            <s xml:id="echoid-s2023" xml:space="preserve">permutando g f
              <lb/>
            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
              <lb/>
            & </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>
          </p>
        </div>
      </text>
    </echo>