Aristoteles, Physicorvm Aristotelis, sev, de natvrali auscultatione, libri octo
page |< < (17) of 760 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div154" type="section" level="1" n="90">
          <p style="it">
            <s xml:id="echoid-s8518" xml:space="preserve">
              <pb o="17" file="239" n="239" rhead="LIBER I."/>
            nitu, atq; </s>
            <s xml:id="echoid-s8519" xml:space="preserve">ſumatur infinitum quidem corpus A B: </s>
            <s xml:id="echoid-s8520" xml:space="preserve">pondus
              <lb/>
            autẽ ipſius C: </s>
            <s xml:id="echoid-s8521" xml:space="preserve">ab infinito igitur magnitudo finita auferatur
              <lb/>
            B D: </s>
            <s xml:id="echoid-s8522" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s8523" xml:space="preserve">pondus ipſius ſit E: </s>
            <s xml:id="echoid-s8524" xml:space="preserve">ipſum igitur B pondus minus
              <lb/>
            erit ipſo pondere C: </s>
            <s xml:id="echoid-s8525" xml:space="preserve">minoris enim magnitudinis pondus mi
              <lb/>
            nus nimirum eſt. </s>
            <s xml:id="echoid-s8526" xml:space="preserve">Minus itaq; </s>
            <s xml:id="echoid-s8527" xml:space="preserve">pondus, maius menſuret nu-
              <lb/>
            mero aliquo repetitũ: </s>
            <s xml:id="echoid-s8528" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s8529" xml:space="preserve">ut minus ſeſe habet ad maius, ita
              <lb/>
            B D ſeſe habet ad B F magnitudinem: </s>
            <s xml:id="echoid-s8530" xml:space="preserve">fieri enim poteſt, ut
              <lb/>
            quantauis ab infinita auferatur. </s>
            <s xml:id="echoid-s8531" xml:space="preserve">Si igitur magnitudines
              <lb/>
            ſimilitudinẽ rationũ ſubeunt cum põderibus, & </s>
            <s xml:id="echoid-s8532" xml:space="preserve">minus pon
              <lb/>
            dus minoris eſt magnitudinis, maius etiã magnitudinis erit
              <lb/>
            maioris: </s>
            <s xml:id="echoid-s8533" xml:space="preserve">æquale ergo finiti pondus erit, ac infiniti. </s>
            <s xml:id="echoid-s8534" xml:space="preserve">Si maio
              <lb/>
            ris præterea corporis maius eſt pondus, ipſius B D pondus
              <lb/>
            maius erit põdere corporis ipſius B F: </s>
            <s xml:id="echoid-s8535" xml:space="preserve">quare finiti pondus,
              <lb/>
            maius erit pondere infiniti: </s>
            <s xml:id="echoid-s8536" xml:space="preserve">inæqualium etiam magnitudinũ
              <lb/>
            idem fuerit pondus: </s>
            <s xml:id="echoid-s8537" xml:space="preserve">finitum enim ac infinitũ, inæqualia eſſe
              <lb/>
            constat. </s>
            <s xml:id="echoid-s8538" xml:space="preserve">Nihil autẽ intereſt, cõmenſurabilia ipſa pondera,
              <lb/>
            an incõmenſurabilia ſint: </s>
            <s xml:id="echoid-s8539" xml:space="preserve">etenim eadẽ erit ratio, ſi incõmen
              <lb/>
            ſurabilia ſint. </s>
            <s xml:id="echoid-s8540" xml:space="preserve">Veluti ſi E pondus menſurans C pondus ter
              <lb/>
            repetitũ exuperet: </s>
            <s xml:id="echoid-s8541" xml:space="preserve">nam ſi tres totæ magnitudines B D ſu-
              <lb/>
            mantur, pondus ipſarum maius erit pondere C: </s>
            <s xml:id="echoid-s8542" xml:space="preserve">quare idem
              <lb/>
            eueniet impoßibile. </s>
            <s xml:id="echoid-s8543" xml:space="preserve">Præterea fieri poteſt, ut cõmenſurabi-
              <lb/>
            lia ipſa ſumãtur: </s>
            <s xml:id="echoid-s8544" xml:space="preserve">nihil enim intereſt à pondere, an à magni
              <lb/>
            tudine initium fiat. </s>
            <s xml:id="echoid-s8545" xml:space="preserve">Veluti ſi E pondus cõmenſurabile ſu-
              <lb/>
            matur ipſi põderi C atq; </s>
            <s xml:id="echoid-s8546" xml:space="preserve">ab initio ea magnitudo auferatur,
              <lb/>
            quæ habet ipſum E pondus, ceu B D deinde allata fuerit
              <lb/>
            alia magnitudo ceu B F: </s>
            <s xml:id="echoid-s8547" xml:space="preserve">ad quã ita B D magnitudo ſe ha-
              <lb/>
            bet, ut pondus ſe habet ad pondus: </s>
            <s xml:id="echoid-s8548" xml:space="preserve">fieri enim poteſt, ut ſi ma
              <lb/>
            gnitudo A B ſit infinita, quant
              <unsure/>
            auis ab ea magnitudo aufera
              <lb/>
            tur. </s>
            <s xml:id="echoid-s8549" xml:space="preserve">His enim ſumptis, tam magnitudine quàm pondera
              <lb/>
            inter ſeſe ſanè cõmenſurabilia erũt. </s>
            <s xml:id="echoid-s8550" xml:space="preserve">At uerò nihil ad </s>
          </p>
        </div>
      </text>
    </echo>