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 |< < (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>