Aristoteles, Physicorvm Aristotelis, sev, de natvrali auscultatione, libri octo

Table of Notes

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          <pb o="142" file="148" n="148" rhead="PHYSICORVM ARIST."/>
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            <s xml:id="echoid-s5544" xml:space="preserve">_CV_'m autem omne quod mouetur, in tẽpore moueatur,
              <lb/>
              <note position="left" xlink:label="note-148-01" xlink:href="note-148-01a" xml:space="preserve">Hîc detepmi-
                <lb/>
              @at Ā
                <unsure/>
              riſt. de fi-
                <lb/>
              nico & infinito
                <lb/>
              in motu: ficut
                <lb/>
              em̃ diuiſio per,
                <lb/>
              cinet ad ratio-
                <lb/>
              nem continui,
                <lb/>
              ita finitũ & in,
                <lb/>
              finitũ, ſicut aũt
                <lb/>
              fuprà oſtẽdit {quis}
                <lb/>
              diuiſio inueni-
                <lb/>
              tur in motuma
                <lb/>
              gnitudine, tem
                <lb/>
              pore, & mobili
                <lb/>
              ita idẽ de infi-
                <lb/>
              @ito oſtendit.</note>
            in maioreq́; </s>
            <s xml:id="echoid-s5545" xml:space="preserve">maiorẽ magnitudinẽ tranſeat, fieri profe
              <lb/>
            ctò nõ põt, ut magnitudinẽ infinito in tẽpore trãſeat quic-
              <lb/>
            quã finitã modò nõ per ipſam eandẽ ſemper, nec per aliquã
              <lb/>
            eius partẽ, ſed per totã toto in tẽpore moueatur. </s>
            <s xml:id="echoid-s5546" xml:space="preserve">Patet igi-
              <lb/>
            tur, ſi quippiã æqua moueatur celeritate, neceſſe eſſe finitã
              <lb/>
            magnicudinẽ illud finito in tẽpore pertrãſire: </s>
            <s xml:id="echoid-s5547" xml:space="preserve">ſumpta nanq;
              <lb/>
            </s>
            <s xml:id="echoid-s5548" xml:space="preserve">parte, quæ menſurauerit to tam, in tot æqualibus tẽporibus,
              <lb/>
            quot ſunt magnitudinis partes, totã illam profectò magni-
              <lb/>
            tudinẽ pertranſibit. </s>
            <s xml:id="echoid-s5549" xml:space="preserve">Quare cùm harũ quæq; </s>
            <s xml:id="echoid-s5550" xml:space="preserve">finitæ ſit quan
              <lb/>
            titatis: </s>
            <s xml:id="echoid-s5551" xml:space="preserve">& </s>
            <s xml:id="echoid-s5552" xml:space="preserve">oẽs numero ſint finitæ, tempus etiã ipſum profe-
              <lb/>
            ctò finitum erit: </s>
            <s xml:id="echoid-s5553" xml:space="preserve">tantũ enim toties erit, quantũ eſt tẽpus par
              <lb/>
            tis toties repetitũ, quot ſunt magnitudinis partes. </s>
            <s xml:id="echoid-s5554" xml:space="preserve">Nihil aũt
              <lb/>
            interest, & </s>
            <s xml:id="echoid-s5555" xml:space="preserve">ſi nõ æqua celeritate mouetur. </s>
            <s xml:id="echoid-s5556" xml:space="preserve">Sit enim ſpaciũ
              <lb/>
            quidem A B finitum, quod infinito in tempore pertrãſiuit,
              <lb/>
            rempus autẽ in finitum C D. </s>
            <s xml:id="echoid-s5557" xml:space="preserve">Siigitur per privrem aliã alia
              <lb/>
            partem motum eſſe neceſſe eſt, patet in priore tẽporis par-
              <lb/>
            te, posterioriúe aliam, aliamúe pertranſiuiſſe: </s>
            <s xml:id="echoid-s5558" xml:space="preserve">ſemper enim
              <lb/>
            maiore in tempore per aliam motum erit. </s>
            <s xml:id="echoid-s5559" xml:space="preserve">idq́; </s>
            <s xml:id="echoid-s5560" xml:space="preserve">non minus
              <lb/>
            fiet, ſiue æqua, ſiue non æqua celeritate mutetur: </s>
            <s xml:id="echoid-s5561" xml:space="preserve">& </s>
            <s xml:id="echoid-s5562" xml:space="preserve">ſiue in-
              <lb/>
            tendatur motus, ſiue remittatur, ſiue in eodem perſistat. </s>
            <s xml:id="echoid-s5563" xml:space="preserve">Ac-
              <lb/>
            cipiatur itaq; </s>
            <s xml:id="echoid-s5564" xml:space="preserve">pars aliqua ſpacij quæ metietur A B longitu
              <lb/>
            dinem totã, atq; </s>
            <s xml:id="echoid-s5565" xml:space="preserve">A F literis deſignetur. </s>
            <s xml:id="echoid-s5566" xml:space="preserve">Hanc igitur aliqua
              <lb/>
            in parte tranſiuit temporis infiniti, quippe cùm impoßibile
              <lb/>
            ſit, eam in infinito tempore pertrãſiſſe, totũ enim ſpacium,
              <lb/>
            in infinito pertranſit. </s>
            <s xml:id="echoid-s5567" xml:space="preserve">Etrurſus, ſi aliã ſumpſero tantam,
              <lb/>
            quanta eſt ipſa A F, neceſſe eſt & </s>
            <s xml:id="echoid-s5568" xml:space="preserve">hanc eadem ratione fini
              <lb/>
            to in tempore tranſijſſe: </s>
            <s xml:id="echoid-s5569" xml:space="preserve">& </s>
            <s xml:id="echoid-s5570" xml:space="preserve">ſic uſq; </s>
            <s xml:id="echoid-s5571" xml:space="preserve">ad ultimã proficiſcar. </s>
            <s xml:id="echoid-s5572" xml:space="preserve">
              <lb/>
            Cũ igitur infiniti ꝗdẽ nulla ſit pars, quæ metietur ut ipſum,
              <lb/>
            ut patet (fieri enim non poteſt, ut infinitũ ex finitis </s>
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