Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000139">
                <pb xlink:href="023/01/016.jpg"/>
              triangulum mk
                <foreign lang="grc">φ</foreign>
              triangulo nk
                <foreign lang="grc">φ.</foreign>
              ergo anguli lzk, ozk,
                <lb/>
              m
                <foreign lang="grc">φ</foreign>
              k, n
                <foreign lang="grc">φ</foreign>
              k æquales ſunt, ac recti. </s>
              <s id="s.000140">quòd cum etiam recti
                <lb/>
                <arrow.to.target n="marg18"/>
                <lb/>
              ſint, qui ad k; æquidiſtabunt lineæ lo, mn axi bd. </s>
              <s id="s.000141">& ita
                <lb/>
              demonſtrabuntur lm, on ipſi ac æquidiſtare. </s>
              <s id="s.000142">Rurſus ſi
                <lb/>
              iungantur al, lb, bm, mc, cn, nd, do, oa: & bifariam di
                <lb/>
              uidantur: à centro autem k ad diuiſiones ductæ lineæ pro­
                <lb/>
              trahantur uſque ad ſectionem in puncta pqrstuxy: & po
                <lb/>
              ſtremo py, qx, ru, st, qr, ps, yt, xu coniungantur. </s>
              <s id="s.000143">Simili­
                <lb/>
                <figure id="id.023.01.016.1.jpg" xlink:href="023/01/016/1.jpg" number="8"/>
                <lb/>
              ter oſtendemus lineas
                <lb/>
              py, qx, ru, st axi bd æ­
                <lb/>
              quidiſtantes eſſe: & qr,
                <lb/>
              ps, yt, xu æquidiſtan­
                <lb/>
              tes ipſi ac. </s>
              <s id="s.000144">Itaque dico
                <lb/>
              harum figurarum in el­
                <lb/>
              lipſi deſcriptarum cen­
                <lb/>
              trum grauitatis eſſe
                <expan abbr="pũ-ctum">pun­
                  <lb/>
                ctum</expan>
              k, idem quod & el
                <lb/>
              lipſis centrum. </s>
              <s id="s.000145">quadri­
                <lb/>
              lateri enim abcd cen­
                <lb/>
              trum eſt k, ex decima e­
                <lb/>
              iuſdem libri Archime­
                <lb/>
              dis, quippe
                <expan abbr="cũ">cum</expan>
              in eo om
                <lb/>
              nes diametri
                <expan abbr="cõueniãt">conueniant</expan>
              . </s>
              <lb/>
              <s id="s.000146">Sed in figura albmcn
                <lb/>
                <arrow.to.target n="marg19"/>
                <lb/>
              do, quoniam trianguli
                <lb/>
              alb centrum grauitatis
                <lb/>
                <arrow.to.target n="marg20"/>
                <lb/>
              eſt in linea le:
                <expan abbr="trapezijq́">trapezijque</expan>
              ; abmo centrum in linea ek: trape
                <lb/>
              zij omcd in kg: & trianguli cnd in ipſa gn: erit magnitu
                <lb/>
              dinis ex his omnibus conſtantis, uidelicet totius figuræ cen
                <lb/>
              trum grauitatis in linea ln: & ob eandem cauſſam in linea
                <lb/>
              om. </s>
              <s id="s.000147">eſt enim trianguli aod centrum in linea oh: trapezij
                <lb/>
              alnd in hk: trapezij lbcn in kf: & trianguli bmc in fm. </s>
              <lb/>
              <s id="s.000148">cum ergo figuræ albmcndo centrum grauitatis ſit in li­
                <lb/>
              nea ln, & in linea om; erit centrum ipſius punctum k, in </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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