Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <front>
          <section>
            <pb xlink:href="026/01/014.jpg"/>
            <p id="N1064E" type="main">
              <s id="N10650">4. Hinc ſingulis temporibus æqualibus deſtruitur gradus impe­
                <lb/>
              tui innato; </s>
              <s id="N10656">eſt enim eadem ratio pro omnibus: </s>
              <s id="N1065A">igitur temporibus
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              æqualibus deſtruitur æqualis impetus: </s>
              <s id="N10660">igitur amittit ille motus
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              æqualia velocitatis momenta: </s>
              <s id="N10666">igitur eſt naturaliter retardatus: </s>
              <s id="N1066A">igi­
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              tur iuxta eam proportionem decreſcit motus violentus, iuxtaquam
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              creſcit naturalis: igitur dici debent de hac progreſſione retardatio­
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              nis, quæ dicta ſunt de illa progreſſione accelerationis. </s>
            </p>
            <p id="N10674" type="main">
              <s id="N10676">5. Hinc impetus imperfectior initio deſtruitur: </s>
              <s id="N1067A">quia, cùm motus
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              ille ſit velocior initio, inſtantia ſunt minora: </s>
              <s id="N10680">atqui minori tempore
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              minùs retardatur: </s>
              <s id="N10686">igitur inperfectior impetus deſtruitur; </s>
              <s id="N1068A">cùm è
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              contrario in motu acceleratio initio acquiratur imperfectior, quia
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              inſtantia ſunt maiora: vnde vides, gradus impetus eſſe heteroge­
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              neos, & principium illud etiam in impetu valere, ſcilicet, ſubiectum
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              ita compleri ab vna forma, vt alterius homogeneæ non ſit ampliùs
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              capax, ſaltem naturaliter. </s>
            </p>
            <p id="N10698" type="main">
              <s id="N1069A">6. Hinc vltimus gradus impetus violenti eſt omnium perfectiſ­
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              ſimus, vt conſtat. </s>
              <s id="N1069F">Quieſceret vno inſtanti mobile iactum ſurſum, ſi
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              gradus vltimus violenti eſſet æqualis perfectionis, cum impetu in­
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              nato: </s>
              <s id="N106A7">vbi enim ventum eſſet ad inſtans æqualitatis, neutrum præ­
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              ualere poſſet: </s>
              <s id="N106AD">igitur inſtanti ſequenti eſſet quies: </s>
              <s id="N106B1">cùm tamen ſint
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              diuerſæ perfectionis, perfectior præualet: vter autem ſit perfectior,
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              dicemus infrà. </s>
            </p>
            <p id="N106B9" type="main">
              <s id="N106BB">7. Cum mobile ſurſum reflectitur, vel terra perforata ſuam lineam
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              motus ſurſum versus oppoſitam cœli plagam promouet, vel aliud
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              æqualis ponderis, vel maioris, ſurſum mouet, tunc certum eſt, inna­
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              tum eſſe perfectiorem: </s>
              <s id="N106C5">ſi verò imprimitur ab alia potentia motrice,
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              tunc etiam imperfectior eſt impetu innato; </s>
              <s id="N106CB">nam inæqualis eſt; </s>
              <s id="N106CF">alio­
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              quin, ſi eſſet æqualis, ſimul eſſent in eodem ſubiecto duo gradus
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              homogenei: </s>
              <s id="N106D7">præſtat autem eſſe imperfectiorem, quàm perfectio­
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              rem, vt plura impetus puncta à potentia imprimantur; </s>
              <s id="N106DD">quòd mul­
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              tum facit ad mouenda maiora pondera: hinc nullo inſtanti quieſ­
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              cunt proiecta ſurſum. </s>
            </p>
            <p id="N106E5" type="main">
              <s id="N106E7">8. Tandiu durat ſenſibiliter deſcenſus globi proiecti ſurſum,
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              quandiu durauit aſcenſus; </s>
              <s id="N106ED">eſt enim eadem ratio: ſagittæ verò mi­
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              nùs durat aſcenſus, quàm deſcenſus propter mixtionem materiæ. </s>
              <s id="N106F3">
                <lb/>
              Si motus violentus eſſet æquabilis, percurreret proiectum ſpatium
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              ferè duplum eo tempore, quo retardato percurrit ſubduplum: </s>
              <s id="N106FA">hinc
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              ſonus tam citò auditur; </s>
              <s id="N10700">quia propagatur cum particulis aëris æqua­
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              bili ferè motu: </s>
              <s id="N10706">eſſe autem ſpatium ferè duplum, probatur ex eo, </s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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