Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/038.jpg" pagenum="30"/>
              ſe eſt quantitas: duorum autem proportione cogni­
                <lb/>
              ta & alterius quantitate, ſtatim & reliqui quantitas
                <lb/>
              innoteſcit per ſecundam da. Eu. nota igitur vis
                <expan abbr="quã-titate">quan­
                  <lb/>
                titate</expan>
              quæ parti illi ineſt, noſcetur & vis
                <expan abbr="quãtitas">quantitas</expan>
                <expan abbr="quę">quæ</expan>
                <lb/>
              toti inerit: quæ enim erit ratio molis ſubiecti vis da­
                <lb/>
              tæ ad molem particulę ſumptę, eadem erit vis totius
                <lb/>
              ad vim partis. </s>
              <s>Hîc igitur erunt quatuor proportio­
                <lb/>
              nalia, ſcilicet vt moles ad molem: ſic vis ad vim ex
                <lb/>
              quibus tria nota erunt: moles enim metiri Geome­
                <lb/>
              tria nos docuit, præterea vis partis, vt demonſtraui­
                <lb/>
              mus, nota eſt, ergo & vis totius quantitas per deci­
                <lb/>
              mam ſeptimam ſeptimi Elem. Eucl. </s>
            </p>
            <p type="main">
              <s>Si verò ſubiectum non ſit homogeneum, vi ta­
                <lb/>
              men naturali ſit præditum, ſi quidem data vis quam
                <lb/>
              metiri volumus, ea ſitque motum ciere volumus,
                <lb/>
              tum conſiderabimus quæ pars in illa, vis minimum
                <lb/>
              habeat: & ex ea totam ipſius molem æſtimabimus:
                <lb/>
              ſi verò ſit vis mouenda, ſtatuemus quaſi tota ſit ho­
                <lb/>
              mogenea ipſius parti, quæ vis plurimum in ſe habe­
                <lb/>
              bit, & ex ea totam ipſius molem æſtimabimus. </s>
              <s>Ita­
                <lb/>
              que tum illius quanta minima, tum huius quanta
                <lb/>
              maxima eſſe poteſt, vis quantitas nobis nota erit per
                <lb/>
              proximè demonſtratam rationem. </s>
              <s>Notis autem vi­
                <lb/>
              rium quantitatibus, nota erit & earum proportio:
                <lb/>
              ergo & proportio ipſa proximè maior vel mi­
                <lb/>
              nor: addita enim vel detracta ipſius denomi- </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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