Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="32" xlink:href="023/01/071.jpg"/>
            <p type="main">
              <s id="s.000671">SIT
                <expan abbr="fruſtũ">fruſtum</expan>
              pyramidis, uel coni, uel coni portionis ad,
                <lb/>
              cuius maior baſis ab, minor cd. </s>
              <s id="s.000672">& ſecetur altero plano
                <lb/>
              baſi æquidiſtante, ita ut ſectio ef ſit proportionalis inter
                <lb/>
              baſes ab, cd. </s>
              <s id="s.000673">conſtituatur
                <expan abbr="autẽ">autem</expan>
              pyramis, uel conus, uel co­
                <lb/>
              ni portio agb, cuius baſis ſit eadem, quæ baſis maior fru­
                <lb/>
                <figure id="id.023.01.071.1.jpg" xlink:href="023/01/071/1.jpg" number="63"/>
                <lb/>
              ſti, & altitudo æqualis. </s>
              <s id="s.000674">Di­
                <lb/>
              co fruſtum ad ad pyrami­
                <lb/>
              dem, uel conum, uel coni
                <lb/>
              portionem agb eandem
                <lb/>
                <expan abbr="proportionẽ">proportionem</expan>
              habere,
                <expan abbr="quã">quam</expan>
                <lb/>
              utræque baſes, ab, cd unà
                <lb/>
              cum ef ad baſim ab. </s>
              <s id="s.000675">eſt
                <lb/>
              enim fruſtum ad æquale
                <lb/>
              pyramidi, uel cono, uel co­
                <lb/>
              ni portioni, cuius baſis ex
                <lb/>
              tribus baſibus ab, ef, cd
                <lb/>
              conſtat; & altitudo ipſius
                <lb/>
              altitudini eſt æqualis: quod mox oſtendemus. </s>
              <s id="s.000676">Sed pyrami
                <lb/>
                <figure id="id.023.01.071.2.jpg" xlink:href="023/01/071/2.jpg" number="64"/>
                <lb/>
              des, coni, uel coni
                <expan abbr="portiões">portiones</expan>
              ,
                <lb/>
              quæ ſunt æquali altitudine,
                <lb/>
                <expan abbr="eãdem">eandem</expan>
              inter ſe, quam baſes,
                <lb/>
              proportionem habent, ſicu­
                <lb/>
              ti demonſtratum eſt, partim
                <lb/>
                <arrow.to.target n="marg82"/>
                <lb/>
              ab Euclide in duodecimo li­
                <lb/>
              bro elementorum, partim à
                <lb/>
              nobis in
                <expan abbr="cõmentariis">commentariis</expan>
              in un­
                <lb/>
              decimam
                <expan abbr="propoſitionẽ">propoſitionem</expan>
              Ar­
                <lb/>
              chimedis de conoidibus, &
                <lb/>
              ſphæroidibus. </s>
              <s id="s.000677">quare pyra­
                <lb/>
              mis, uel conus, uel coni por­
                <lb/>
              tio, cuius baſis eſt tribus illis
                <lb/>
              baſibus æqualis ad agb eam
                <lb/>
              habet proportionem, quam
                <lb/>
              baſes ab, ef, cd ad ab baſim. </s>
              <s id="s.000678">Fruſtum igitur ad ad agb </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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