Alberti, Leone Battista, De re aedificatoria, 1485

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    <archimedes>
      <text>
        <body>
          <chap id="N40001A">
            <p id="N408F83" type="main">
              <s id="N4093C6">
                <pb xlink:href="004/01/200.jpg"/>
                <expan abbr="ſũt">ſunt</expan>
              in dextra contrariiſ talibus in ſiniſtram numeris reſpon
                <lb/>
              deant. </s>
              <s id="N40940C">Nam ſi erit ferrum tria / pynnulæ duo ab amento ad
                <lb/>
              ferrum radius duo ſit oportet: et radius alter ad pynnulas tria
                <lb/>
              Ex quo
                <expan abbr="cũ">cum</expan>
              hic numerus quinque alteris quinque par
                <expan abbr="reſpõdebit">reſponde
                  <lb/>
                bit</expan>
              : æquatis radiorum et ponderum rationibus quieſcent æqui
                <lb/>
              librati et compares: ſi non
                <expan abbr="reſpõdebunt">reſpondebunt</expan>
              numeri peruincet:
                <lb/>
              in quo excedent. </s>
              <s id="N409425">Illud non prætereo / ab eodem amento ſi
                <lb/>
              pares protendentur radii pares
                <expan abbr="dũ">dum</expan>
              capita mouebuntur aere
                <lb/>
              circulos
                <expan abbr="ſignabũt">ſignabunt</expan>
              Si uero
                <expan abbr="ĩpares">impares</expan>
              quoque et
                <expan abbr="ĩpares">impares</expan>
                <expan abbr="deſeribẽt">deſcribent</expan>
                <lb/>
              circulos circulis contineri rotas diximus: monſtratum id /
                <lb/>
              circo eſt ſi uno eodemque motu duæ
                <expan abbr="cõtiguæ">contiguæ</expan>
              unicum affixæ
                <lb/>
              in axem rotæ
                <expan abbr="moueant̃">moueantur</expan>
              : ita ut mota una altera non quieſcat:
                <lb/>
              et quieſcente una altera non moueatur ex radiorum in utriſque
                <lb/>
              longitudine quæ nam in unaquaque ſit uis intelligemus. </s>
              <s id="N409452">Ra
                <lb/>
              dii longitudinem notaſſe oportet a medio intimi axis pun
                <lb/>
              cto. </s>
              <s id="N409459">Hæc ſi ſatis
                <expan abbr="ĩtelliguntur">intelliguntur</expan>
              omnis quam quærimus ratio
                <lb/>
              huiuſmodi machinarum
                <expan abbr="ĩ">in</expan>
              aperto eſt maxime rotarum et uectis.
                <lb/>
              </s>
              <s id="N409467">In trocleis paululum eſt amplius quod conſideremus. </s>
              <s id="N40946A">
                <expan abbr="Nã">Nam</expan>
                <lb/>
              et traductus per trocleam funis et orbiculi ipſi in troclea pro
                <lb/>
              uado ſunt: in quo medius quidem ſit motus / quem eſſe
                <expan abbr="ĩtra">intra</expan>
                <lb/>
              difficillimum atque facillimum diximus: quod neque aſcendat
                <lb/>
              neque deſcendat: ſed in ſuum centrum æquate obinſtet. </s>
              <s id="N40947C">Atque
                <lb/>
              ut intelligas quid ſit in re:
                <expan abbr="ſũmito">ſummito</expan>
              tibi ſtatuam pondo. </s>
              <s id="N409485">M.
                <lb/>
              </s>
              <s id="N409489">Hæc ſi ex arboris trunco fune illaqueata pendebit / certum
                <lb/>
              eſt / ſimplicem funem iſtunc mille integra ſuſtinere: Adne
                <lb/>
              ctito ad ſtatuam trocleam: et per eam traducito funem quo
                <lb/>
              pendebat ſtatua: et reducito ad truncum: ut iterato
                <expan abbr="pẽdeat">pendeat</expan>
              :
                <lb/>
              promptum eſt ſtatuæ pondus duplicato pendere fune: atque
                <lb/>
              trocleam per æquilibra medium interſtringi. </s>
              <s id="N40949A">Proſequere
                <lb/>
              addito etiam trunco alteram trocleam et per eam quoque tra
                <lb/>
              ducito ipſum funem: quero a te quota erit ponderis portio:
                <lb/>
                <expan abbr="quã">quam</expan>
              reducta in
                <expan abbr="altũ">altum</expan>
              et mox traducta pars funis ſuſtinebit ?
                <lb/>
              </s>
              <s id="N4094AB">quingenta inquies. </s>
              <s id="N4094AE">
                <expan abbr="nõ">non</expan>
              tu exinde intelligis
                <expan abbr="ſecũde">ſecunde</expan>
              huic tro
                <lb/>
              cleæ dari pondus non poſſe maius ab fune ipſo
                <expan abbr="q̈">quam</expan>
              quod ha</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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