Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
151 20
152
153 21
154
155 22
156
157 23
158
159 24
160
161 25
162
163 26
164
165 27
166
167 28
168
169 29
170
171 30
172
173 31
174
175 32
176
177 33
178
179 34
180
< >
page |< < (7) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div206" type="section" level="1" n="68">
          <p>
            <s xml:id="echoid-s3169" xml:space="preserve">
              <pb o="7" file="0125" n="125" rhead="DE CENTRO GRAVIT. SOLID."/>
            metrum habens e d. </s>
            <s xml:id="echoid-s3170" xml:space="preserve">Quoniam igitur circuli uel ellipſis
              <lb/>
            a e c b grauitatis centrum eſt in diametro b e, & </s>
            <s xml:id="echoid-s3171" xml:space="preserve">portio-
              <lb/>
            nis a e c centrum in linea e d: </s>
            <s xml:id="echoid-s3172" xml:space="preserve">reliquæ portionis, uidelicet
              <lb/>
            a b c centrum grauitatis in ipſa b d conſiſtat neceſſe eſt, ex
              <lb/>
            octaua propoſitione eiuſdem.</s>
            <s xml:id="echoid-s3173" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div208" type="section" level="1" n="69">
          <head xml:id="echoid-head76" xml:space="preserve">THEOREMA V. PROPOSITIO V.</head>
          <p>
            <s xml:id="echoid-s3174" xml:space="preserve">SI priſma ſecetur plano oppoſitis planis æqui
              <lb/>
            diſtante, ſectio erit figura æqualis & </s>
            <s xml:id="echoid-s3175" xml:space="preserve">ſimilis ei,
              <lb/>
            quæ eſt oppoſitorum planorum, centrum graui
              <lb/>
            tatis in axe habens.</s>
            <s xml:id="echoid-s3176" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3177" xml:space="preserve">Sit priſma, in quo plana oppoſita ſint triangula a b c,
              <lb/>
            d e f; </s>
            <s xml:id="echoid-s3178" xml:space="preserve">axis g h: </s>
            <s xml:id="echoid-s3179" xml:space="preserve">& </s>
            <s xml:id="echoid-s3180" xml:space="preserve">ſecetur plano iam dictis planis æquidiſtã
              <lb/>
            te; </s>
            <s xml:id="echoid-s3181" xml:space="preserve">quod faciat ſectionem
              <emph style="sc">K</emph>
            l m; </s>
            <s xml:id="echoid-s3182" xml:space="preserve">& </s>
            <s xml:id="echoid-s3183" xml:space="preserve">axi in pũcto n occurrat.
              <lb/>
            </s>
            <s xml:id="echoid-s3184" xml:space="preserve">Dico _k_ l m triangulum æquale eſſe, & </s>
            <s xml:id="echoid-s3185" xml:space="preserve">ſimile triangulis a b c
              <lb/>
            d e f; </s>
            <s xml:id="echoid-s3186" xml:space="preserve">atque eius grauitatis centrum eſſe punctum n. </s>
            <s xml:id="echoid-s3187" xml:space="preserve">Quo-
              <lb/>
            niam enim plana a b c
              <lb/>
              <figure xlink:label="fig-0125-01" xlink:href="fig-0125-01a" number="82">
                <image file="0125-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0125-01"/>
              </figure>
            K l m æquidiſtantia ſecã
              <lb/>
              <note position="right" xlink:label="note-0125-01" xlink:href="note-0125-01a" xml:space="preserve">16. unde-
                <lb/>
              cimi.</note>
            tur a plano a e; </s>
            <s xml:id="echoid-s3188" xml:space="preserve">rectæ li-
              <lb/>
            neæ a b, K l, quæ ſunt ip
              <lb/>
            ſorum cõmunes ſectio-
              <lb/>
            nes inter ſe ſe æquidi-
              <lb/>
            ſtant. </s>
            <s xml:id="echoid-s3189" xml:space="preserve">Sed æquidiſtant
              <lb/>
            a d, b e; </s>
            <s xml:id="echoid-s3190" xml:space="preserve">cum a e ſit para
              <lb/>
            lelogrammum, ex priſ-
              <lb/>
            matis diffinitione. </s>
            <s xml:id="echoid-s3191" xml:space="preserve">ergo
              <lb/>
            & </s>
            <s xml:id="echoid-s3192" xml:space="preserve">al parallelogrammũ
              <lb/>
            erit; </s>
            <s xml:id="echoid-s3193" xml:space="preserve">& </s>
            <s xml:id="echoid-s3194" xml:space="preserve">propterea linea
              <lb/>
              <note position="right" xlink:label="note-0125-02" xlink:href="note-0125-02a" xml:space="preserve">34. prim@</note>
            _k_l, ipſi a b æqualis. </s>
            <s xml:id="echoid-s3195" xml:space="preserve">Si-
              <lb/>
            militer demonſtrabitur
              <lb/>
            l m æquidiſtans, & </s>
            <s xml:id="echoid-s3196" xml:space="preserve">æqua
              <lb/>
            lis b c; </s>
            <s xml:id="echoid-s3197" xml:space="preserve">& </s>
            <s xml:id="echoid-s3198" xml:space="preserve">m
              <emph style="sc">K</emph>
            ipſi c a.</s>
            <s xml:id="echoid-s3199" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum