Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/018.jpg" pagenum="10"/>
              creſcens ſcilicet & decreſcens, ídque vel continuè,
                <lb/>
              vel per interualla, ordinatim vel
                <foreign lang="grc">ἀτακτῶς. </foreign>
              </s>
            </p>
            <p type="main">
              <s>Creſcens dicitur, quando partium poſteriorum
                <lb/>
              ipſius maior eſt celeritas, quàm priorum:
                <expan abbr="decreſcẽs">decreſcens</expan>
              ,
                <lb/>
              quando minor. </s>
            </p>
            <p type="main">
              <s>Continuè, quando nulla pars illius vel minima
                <lb/>
              alteri parti eſt æqualis ſeu ſibi ipſi æquabilis. </s>
            </p>
            <p type="main">
              <s>Per interualla verò, quando partes quidem illius
                <lb/>
              ſibi ipſis æquabiles ſunt, aliæ verò aliis comparatæ
                <lb/>
              inæquabiles. </s>
            </p>
            <p type="main">
              <s>Ordinatim, quando incrementum aut
                <expan abbr="decremẽ-tum">decremen­
                  <lb/>
                tum</expan>
              illud certa aliqua proportionis progreſſione
                <lb/>
              fit, vt ſi in motu continuè creſcente, diuiſo toto mo
                <lb/>
              tus ſpatio in aliquot partes æquales eadem ſit ratio
                <lb/>
              celeritatis, finis primi ſpatij ad celeritatem finis ſe­
                <lb/>
              cundi, quæ finis ſecundi ad finem tertij, & ſic dein­
                <lb/>
              ceps: vel ſi finis ſecundi ſpatij duplo citiùs feratur,
                <lb/>
              quàm finis primi & finis tertij, triplo quàm primi:
                <lb/>
              finis verò quarti quadruplo, & ſic deinceps. </s>
              <s>Idem ſi
                <lb/>
              in quauis alia proportionis progreſſione illarum
                <lb/>
              partium celeritas, aliarum ad alias ſe habeat. </s>
              <s>In mo­
                <lb/>
              tu verò per interualla creſcente
                <expan abbr="augmẽtum">augmentum</expan>
              illud or­
                <lb/>
              dinatim fieri dicetur, ſi interuallorum proportio a­
                <lb/>
              liquem progreſſionis ordinem ſeruet: puta ſi
                <expan abbr="primũ">primum</expan>
                <lb/>
              interuallum duplo tardiùs
                <expan abbr="ſecũdo">ſecundo</expan>
              moueatur, triplo
                <lb/>
              verò tardiùs tertio, &c. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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