Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
171 30
172
173 31
174
175 32
176
177 33
178
179 34
180
181 35
182
183 36
184
185 37
186
187 38
188
189 39
190
191 40
192
193 41
194
195 42
196
197 43
198
199 44
200
< >
page |< < (6) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div22" type="section" level="1" n="15">
          <pb o="6" file="0023" n="23" rhead="DE IIS QVAE VEH. IN AQVA."/>
        </div>
        <div xml:id="echoid-div23" type="section" level="1" n="16">
          <head xml:id="echoid-head19" xml:space="preserve">COMMENTARIVS.</head>
          <p style="it">
            <s xml:id="echoid-s347" xml:space="preserve">AT ucro ea, quæ feruntur deorſum, ſecundum perpendicula-
              <lb/>
            rem, quæ per centrum grauit atis ipſorum ducitur, ſimiliter ferri,
              <lb/>
            uel tanquam notum, uel ut ab alijs poſitum prætermiſit.</s>
            <s xml:id="echoid-s348" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div24" type="section" level="1" n="17">
          <head xml:id="echoid-head20" xml:space="preserve">PROPOSITIO VIII.</head>
          <p>
            <s xml:id="echoid-s349" xml:space="preserve">SI aliqua magnitudo ſolida leuior humido,
              <lb/>
              <note position="right" xlink:label="note-0023-01" xlink:href="note-0023-01a" xml:space="preserve">A</note>
            quæ figuram portionis ſphæræ habeat, in humi-
              <lb/>
              <note position="right" xlink:label="note-0023-02" xlink:href="note-0023-02a" xml:space="preserve">B</note>
            dum demittatur, ita vt baſis portionis non tan-
              <lb/>
            gat humidum: </s>
            <s xml:id="echoid-s350" xml:space="preserve">figura inſidebit recta, ita vt axis
              <lb/>
            portionis ſit ſecundum perpendicularem. </s>
            <s xml:id="echoid-s351" xml:space="preserve">Et ſi
              <lb/>
            ab aliquo inclinetur figura, vt baſis portionis hu-
              <lb/>
            midum cõtingat; </s>
            <s xml:id="echoid-s352" xml:space="preserve">non manebit inclinata ſi demit
              <lb/>
            tatur, ſed recta reſtituetur.</s>
            <s xml:id="echoid-s353" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s354" xml:space="preserve">[INTELLIGATVR quædam magnitudo, qualis
              <lb/>
              <note position="right" xlink:label="note-0023-03" xlink:href="note-0023-03a" xml:space="preserve">Suppleta
                <lb/>
              a Federi-
                <lb/>
              co Cõm.</note>
            dicta eſt, in humidum demiſſa: </s>
            <s xml:id="echoid-s355" xml:space="preserve">& </s>
            <s xml:id="echoid-s356" xml:space="preserve">ducatur planum per axẽ
              <lb/>
            portionis, & </s>
            <s xml:id="echoid-s357" xml:space="preserve">per terræ
              <lb/>
              <figure xlink:label="fig-0023-01" xlink:href="fig-0023-01a" number="12">
                <image file="0023-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0023-01"/>
              </figure>
            centrum, ut ſit ſuperfi-
              <lb/>
            ciei humidi ſectio circũ
              <lb/>
            ferentia a b c d: </s>
            <s xml:id="echoid-s358" xml:space="preserve">& </s>
            <s xml:id="echoid-s359" xml:space="preserve">figu-
              <lb/>
            ræ ſectio e f h circunfe-
              <lb/>
            rentia: </s>
            <s xml:id="echoid-s360" xml:space="preserve">ſit autem e h
              <lb/>
            recta linea; </s>
            <s xml:id="echoid-s361" xml:space="preserve">& </s>
            <s xml:id="echoid-s362" xml:space="preserve">f t axis
              <lb/>
            portionis. </s>
            <s xml:id="echoid-s363" xml:space="preserve">Si igitur in-
              <lb/>
            clinetur figura, ita ut a-
              <lb/>
            xis portionis f t non ſit
              <lb/>
            ſecundum perpendicu-
              <lb/>
            larem. </s>
            <s xml:id="echoid-s364" xml:space="preserve">demonſtrandum eſt, non manere ipſam figu-
              <lb/>
            ram; </s>
            <s xml:id="echoid-s365" xml:space="preserve">ſed in rectum reſtitui. </s>
            <s xml:id="echoid-s366" xml:space="preserve">Itaque centrum ſphæræ </s>
          </p>
        </div>
      </text>
    </echo>
Impressum