Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
61 25
62
63 26
64
65 27
66
67 22
68
69 29
70
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
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div242" type="section" level="1" n="84">
          <p>
            <s xml:id="echoid-s3931" xml:space="preserve">
              <pb file="0158" n="158" rhead="FED. COMMANDINI"/>
            ut altitudo ad altitudinem & </s>
            <s xml:id="echoid-s3932" xml:space="preserve">componendo conuertendo
              <lb/>
            que ſolidum a b g h, hoc eſt ſolidum a b c d ipſi æquale, ad
              <lb/>
              <note position="left" xlink:label="note-0158-01" xlink:href="note-0158-01a" xml:space="preserve">7. quinti.</note>
            ſolidum a b e f, ut altitudo ſolidi a b c d ad ſolidi a b e f al-
              <lb/>
            titudinem.</s>
            <s xml:id="echoid-s3933" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3934" xml:space="preserve">Sint ſolida parallelepipeda a b, c d in æqualibus baſibus
              <lb/>
            conſtituta: </s>
            <s xml:id="echoid-s3935" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s3936" xml:space="preserve">b e altitudo ſolidi a b: </s>
            <s xml:id="echoid-s3937" xml:space="preserve">& </s>
            <s xml:id="echoid-s3938" xml:space="preserve">ſolidi c d altitudo
              <lb/>
            d f; </s>
            <s xml:id="echoid-s3939" xml:space="preserve">quæ quidem maior ſit, quàm b e. </s>
            <s xml:id="echoid-s3940" xml:space="preserve">Dico ſolidum a b ad
              <lb/>
            ſolidum c d eandem habere proportionem, quam be ad
              <lb/>
            d f. </s>
            <s xml:id="echoid-s3941" xml:space="preserve">abſcindatur enim à linea d f æqualis ipſi b e, quæ ſit g f:
              <lb/>
            </s>
            <s xml:id="echoid-s3942" xml:space="preserve">& </s>
            <s xml:id="echoid-s3943" xml:space="preserve">per g ducatur planum ſecans ſolidum c d; </s>
            <s xml:id="echoid-s3944" xml:space="preserve">quod baſibus
              <lb/>
            æquidiſtet, faciatq; </s>
            <s xml:id="echoid-s3945" xml:space="preserve">ſectionẽ h K. </s>
            <s xml:id="echoid-s3946" xml:space="preserve">erunt ſolida a b, c k æque
              <lb/>
              <note position="left" xlink:label="note-0158-02" xlink:href="note-0158-02a" xml:space="preserve">31. unde
                <lb/>
              cimi</note>
            alta inter
              <lb/>
              <figure xlink:label="fig-0158-01" xlink:href="fig-0158-01a" number="112">
                <image file="0158-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0158-01"/>
              </figure>
            ſe æqualia
              <lb/>
            cũ æqua-
              <lb/>
            les baſes
              <lb/>
            habeant.
              <lb/>
            </s>
            <s xml:id="echoid-s3947" xml:space="preserve">Sed ſolidũ
              <lb/>
              <note position="left" xlink:label="note-0158-03" xlink:href="note-0158-03a" xml:space="preserve">18. huius</note>
            h d ad ſoli
              <lb/>
            dum c _K_
              <lb/>
            eſt, ut alti
              <lb/>
            tudo d g
              <lb/>
            ad g f alti-
              <lb/>
            tudinẽ ſe
              <lb/>
            catur enim ſolidum c d plano baſi
              <lb/>
              <figure xlink:label="fig-0158-02" xlink:href="fig-0158-02a" number="113">
                <image file="0158-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0158-02"/>
              </figure>
            bus æquidiſtante: </s>
            <s xml:id="echoid-s3948" xml:space="preserve">& </s>
            <s xml:id="echoid-s3949" xml:space="preserve">rurſus cõpo-
              <lb/>
            nendo, conuertendoq; </s>
            <s xml:id="echoid-s3950" xml:space="preserve">ſolidũ c _k_
              <lb/>
            ad ſolidum c d, ut g f ad fd. </s>
            <s xml:id="echoid-s3951" xml:space="preserve">ergo
              <lb/>
              <note position="left" xlink:label="note-0158-04" xlink:href="note-0158-04a" xml:space="preserve">7. quinti.</note>
            ſolidum a b, quod eſt æquale ipſi
              <lb/>
            c k ad ſolidum c d eam proportio
              <lb/>
            nem habet, quam altitudo g f, hoc
              <lb/>
            eſt b e ad d f altitudinem.</s>
            <s xml:id="echoid-s3952" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3953" xml:space="preserve">Sint deinde ſolida parallelepipe
              <lb/>
            da a b, a c in eadem baſi; </s>
            <s xml:id="echoid-s3954" xml:space="preserve">quorum
              <lb/>
            axes d e, ſ e cum ipſa æquales </s>
          </p>
        </div>
      </text>
    </echo>