Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000125">
                <pb pagenum="4" xlink:href="023/01/015.jpg"/>
              on ipſi ac. </s>
              <s id="s.000126">Quoniam enim triangulorum abk, adk, latus
                <lb/>
              bk eſt æquale lateri kd, & ak utrique commune;
                <expan abbr="anguliq́">angulique</expan>
              ;
                <lb/>
                <arrow.to.target n="marg16"/>
                <lb/>
              ad k recti. </s>
              <s id="s.000127">baſis ab baſi ad; & reliqui anguli reliquis an­
                <lb/>
              gulis æquales erunt. </s>
              <s id="s.000128">eadem quoque ratione oſtendetur bc
                <lb/>
                <figure id="id.023.01.015.1.jpg" xlink:href="023/01/015/1.jpg" number="7"/>
                <lb/>
              æqualis cd; & ab ipſi
                <lb/>
              bc. quare omnes ab,
                <lb/>
              bc, cd, da ſunt æqua­
                <lb/>
              les. </s>
              <s id="s.000129">& quoniam anguli
                <lb/>
              ad a æquales ſunt angu
                <lb/>
              lis ad c; erunt anguli b
                <lb/>
              ac, acd coalterni inter
                <lb/>
              ſe æquales;
                <expan abbr="itemq́">itemque</expan>
              ; dac,
                <lb/>
              acb. </s>
              <s id="s.000130">ergo cd ipſi ba;
                <lb/>
              & ad ipſi bc æquidi­
                <lb/>
              ſtat. </s>
              <s id="s.000131">At uero cum lineæ
                <lb/>
              ab, cd inter ſe æquidi­
                <lb/>
              ſtantes bifariam ſecen­
                <lb/>
              tur in punctis eg; erit li
                <lb/>
              nea lekgn diameter ſe
                <lb/>
              ctionis, & linea una, ex
                <lb/>
              demonſtratis in uigeſi­
                <lb/>
              maoctaua ſecundi coni
                <lb/>
              corum. </s>
              <s id="s.000132">Et eadem ratione linea una mfkho. </s>
              <s id="s.000133">Sunt
                <expan abbr="autẽ">autem</expan>
              ad,
                <lb/>
              bc inter ſe ſe æquales, & æquidiſtantes. </s>
              <s id="s.000134">quare & earum di­
                <lb/>
                <arrow.to.target n="marg17"/>
                <lb/>
              midiæ ah, bf;
                <expan abbr="itemq́">itemque</expan>
              ; hd, fe; & quæ ipſas coniungunt rectæ
                <lb/>
              lineæ æquales, & æquidiſtantes erunt. </s>
              <s id="s.000135">
                <expan abbr="æquidiſtãt">æquidiſtant</expan>
              igitur ba,
                <lb/>
              cd diametro mo: & pariter ad, bc ipſi ln æquidiſtare o­
                <lb/>
              ſtendemus. </s>
              <s id="s.000136">Si igitur
                <expan abbr="manẽte">manente</expan>
              diametro ac intelligatur abc
                <lb/>
              portio ellipſis ad portionem adc moueri, cum primum b
                <lb/>
              applicuerit ad d,
                <expan abbr="cõgruet">congruet</expan>
              tota portio toti portioni,
                <expan abbr="lineaq́">lineaque</expan>
              ;
                <lb/>
              ba lineæ ad; & bc ipſi cd congruet: punctum uero e ca­
                <lb/>
              det in h; f in g: & linea ke in lineam kh: & kf in kg. </s>
              <s id="s.000137">qua
                <lb/>
              re & el in ho, et fm in gn. </s>
              <s id="s.000138">At ipſa lz in zo; et m
                <foreign lang="grc">φ</foreign>
              in
                <foreign lang="grc">φ</foreign>
              n
                <lb/>
              cadet. </s>
              <s id="s.000139">congruet igitur triangulum lkz triangulo okz: et </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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