Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
91 40
92
93 41
94
95 42
96
97 43
98
99 44
100
101 43
102
103
104
105
106
107
108
109
110
111
112
113 1
114
115 2
116
117 3
118
119 4
120
< >
page |< < of 213 > >|
FED. COMMANDINI
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="84">
          <p>
            <s xml:space="preserve">
              <pb file="0158" n="158" rhead="FED. COMMANDINI"/>
            ut altitudo ad altitudinem & </s>
            <s xml:space="preserve">componendo conuertendo
              <lb/>
            que ſolidum a b g h, hoc eſt ſolidum a b c d ipſi æquale, ad
              <lb/>
              <anchor type="note" xlink:label="note-0158-01a" xlink:href="note-0158-01"/>
            ſolidum a b e f, ut altitudo ſolidi a b c d ad ſolidi a b e f al-
              <lb/>
            titudinem.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <figure xlink:label="fig-0157-01" xlink:href="fig-0157-01a">
              <image file="0157-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0157-01"/>
            </figure>
            <note position="right" xlink:label="note-0157-02" xlink:href="note-0157-02a" xml:space="preserve">29. unde-
              <lb/>
            cimi</note>
            <note position="right" xlink:label="note-0157-03" xlink:href="note-0157-03a" xml:space="preserve">18. huius</note>
            <note position="left" xlink:label="note-0158-01" xlink:href="note-0158-01a" xml:space="preserve">7. quinti.</note>
          </div>
          <p>
            <s xml:space="preserve">Sint ſolida parallelepipeda a b, c d in æqualibus baſibus
              <lb/>
            conſtituta: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">b e altitudo ſolidi a b: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſolidi c d altitudo
              <lb/>
            d f; </s>
            <s xml:space="preserve">quæ quidem maior ſit, quàm b e. </s>
            <s xml:space="preserve">Dico ſolidum a b ad
              <lb/>
            ſolidum c d eandem habere proportionem, quam be ad
              <lb/>
            d f. </s>
            <s xml:space="preserve">abſcindatur enim à linea d f æqualis ipſi b e, quæ ſit g f:
              <lb/>
            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per g ducatur planum ſecans ſolidum c d; </s>
            <s xml:space="preserve">quod baſibus
              <lb/>
            æquidiſtet, faciatq; </s>
            <s xml:space="preserve">ſectionẽ h K. </s>
            <s xml:space="preserve">erunt ſolida a b, c k æque
              <lb/>
              <anchor type="note" xlink:label="note-0158-02a" xlink:href="note-0158-02"/>
            alta inter
              <lb/>
              <anchor type="figure" xlink:label="fig-0158-01a" xlink:href="fig-0158-01"/>
            ſe æqualia
              <lb/>
            cũ æqua-
              <lb/>
            les baſes
              <lb/>
            habeant.
              <lb/>
            </s>
            <s xml:space="preserve">Sed ſolidũ
              <lb/>
              <anchor type="note" xlink:label="note-0158-03a" xlink:href="note-0158-03"/>
            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/>
              <anchor type="figure" xlink:label="fig-0158-02a" xlink:href="fig-0158-02"/>
            bus æquidiſtante: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">rurſus cõpo-
              <lb/>
            nendo, conuertendoq; </s>
            <s xml:space="preserve">ſolidũ c _k_
              <lb/>
            ad ſolidum c d, ut g f ad fd. </s>
            <s xml:space="preserve">ergo
              <lb/>
              <anchor type="note" xlink:label="note-0158-04a" xlink:href="note-0158-04"/>
            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:space="preserve"/>
          </p>
          <div type="float" level="2" n="2">
            <note position="left" xlink:label="note-0158-02" xlink:href="note-0158-02a" xml:space="preserve">31. unde
              <lb/>
            cimi</note>
            <figure xlink:label="fig-0158-01" xlink:href="fig-0158-01a">
              <image file="0158-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0158-01"/>
            </figure>
            <note position="left" xlink:label="note-0158-03" xlink:href="note-0158-03a" xml:space="preserve">18. huius</note>
            <figure xlink:label="fig-0158-02" xlink:href="fig-0158-02a">
              <image file="0158-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0158-02"/>
            </figure>
            <note position="left" xlink:label="note-0158-04" xlink:href="note-0158-04a" xml:space="preserve">7. quinti.</note>
          </div>
          <p>
            <s xml:space="preserve">Sint deinde ſolida parallelepipe
              <lb/>
            da a b, a c in eadem baſi; </s>
            <s xml:space="preserve">quorum
              <lb/>
            axes d e, ſ e cum ipſa æquales angu</s>
          </p>
        </div>
      </text>
    </echo>
Impressum