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 |< < (3) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div192" type="section" level="1" n="64">
          <p>
            <s xml:id="echoid-s2925" xml:space="preserve">
              <pb o="3" file="0117" n="117" rhead="DE CENTRO GRAVIT. SOLID."/>
            cta b d in g puncto, ducatur c g; </s>
            <s xml:id="echoid-s2926" xml:space="preserve">& </s>
            <s xml:id="echoid-s2927" xml:space="preserve">protrahatur ad circuli
              <lb/>
            uſque circumferentiam; </s>
            <s xml:id="echoid-s2928" xml:space="preserve">quæ ſecet a e in h. </s>
            <s xml:id="echoid-s2929" xml:space="preserve">Similiter conclu
              <lb/>
            demus c g per centrum circuli tranſire: </s>
            <s xml:id="echoid-s2930" xml:space="preserve">& </s>
            <s xml:id="echoid-s2931" xml:space="preserve">bifariam ſecare
              <lb/>
            lineam a e; </s>
            <s xml:id="echoid-s2932" xml:space="preserve">itemq́; </s>
            <s xml:id="echoid-s2933" xml:space="preserve">lineas b d, a e inter ſe æquidiſtantes eſſe.
              <lb/>
            </s>
            <s xml:id="echoid-s2934" xml:space="preserve">Cumigitur c g per centrum circuli tranſeat; </s>
            <s xml:id="echoid-s2935" xml:space="preserve">& </s>
            <s xml:id="echoid-s2936" xml:space="preserve">ad punctũ
              <lb/>
            f perueniat neceſſe eſt: </s>
            <s xml:id="echoid-s2937" xml:space="preserve">quòd c d e f ſit dimidium circumfe
              <lb/>
            rentiæ circuli. </s>
            <s xml:id="echoid-s2938" xml:space="preserve">Quare in eadem
              <lb/>
              <figure xlink:label="fig-0117-01" xlink:href="fig-0117-01a" number="73">
                <image file="0117-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0117-01"/>
              </figure>
            diametro c f erunt centra gra
              <lb/>
              <note position="right" xlink:label="note-0117-01" xlink:href="note-0117-01a" xml:space="preserve">13. Archi
                <lb/>
              medis.</note>
            uitatis triangulorum b c d,
              <lb/>
            a f e, & </s>
            <s xml:id="echoid-s2939" xml:space="preserve">quadrilateri a b d e, ex
              <lb/>
              <note position="right" xlink:label="note-0117-02" xlink:href="note-0117-02a" xml:space="preserve">9. @iuſdé.</note>
            quibus conſtat hexagonum a b
              <lb/>
            c d e f. </s>
            <s xml:id="echoid-s2940" xml:space="preserve">perſpicuum eſt igitur in
              <lb/>
            ipſa c f eſſe circuli centrum, & </s>
            <s xml:id="echoid-s2941" xml:space="preserve">
              <lb/>
            centrum grauitatis hexagoni.
              <lb/>
            </s>
            <s xml:id="echoid-s2942" xml:space="preserve">Rurſus ducta altera diametro
              <lb/>
            a d, eiſdem rationibus oſtende-
              <lb/>
            mus in ipſa utrumque cẽtrum
              <lb/>
            ineſſe. </s>
            <s xml:id="echoid-s2943" xml:space="preserve">Centrum ergo grauita-
              <lb/>
            tis hexagoni, & </s>
            <s xml:id="echoid-s2944" xml:space="preserve">centrum circuli idem erit.</s>
            <s xml:id="echoid-s2945" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2946" xml:space="preserve">Sit heptagonum a b c d e f g æquilaterum atque æquian
              <lb/>
            gulum in circulo deſcriptum:
              <lb/>
            </s>
            <s xml:id="echoid-s2947" xml:space="preserve">
              <figure xlink:label="fig-0117-02" xlink:href="fig-0117-02a" number="74">
                <image file="0117-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0117-02"/>
              </figure>
            & </s>
            <s xml:id="echoid-s2948" xml:space="preserve">iungantur c e, b f, a g: </s>
            <s xml:id="echoid-s2949" xml:space="preserve">di-
              <lb/>
            uiſa autem c e bifariam in pũ
              <lb/>
            cto h: </s>
            <s xml:id="echoid-s2950" xml:space="preserve">& </s>
            <s xml:id="echoid-s2951" xml:space="preserve">iuncta d h produca-
              <lb/>
            tur in k. </s>
            <s xml:id="echoid-s2952" xml:space="preserve">non aliter demon-
              <lb/>
            ſtrabimus in linea d k eſſe cen
              <lb/>
            trum circuli, & </s>
            <s xml:id="echoid-s2953" xml:space="preserve">centrum gra-
              <lb/>
            uitatis trianguli c d e, & </s>
            <s xml:id="echoid-s2954" xml:space="preserve">tra-
              <lb/>
            peziorum b c e f, a b f g, hoc
              <lb/>
            eſt centrum totius heptago-
              <lb/>
            ni: </s>
            <s xml:id="echoid-s2955" xml:space="preserve">& </s>
            <s xml:id="echoid-s2956" xml:space="preserve">rurſus eadem centra in
              <lb/>
            alia diametro cl ſimiliter du-
              <lb/>
            cta contineri. </s>
            <s xml:id="echoid-s2957" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s2958" xml:space="preserve">centrum grauitatis heptagoni, & </s>
            <s xml:id="echoid-s2959" xml:space="preserve">
              <lb/>
            centrum circuli in idem punctum conucniunt. </s>
            <s xml:id="echoid-s2960" xml:space="preserve">Eodem </s>
          </p>
        </div>
      </text>
    </echo>
Impressum