Fabri, Honoré, Tractatus physicus de motu locali, 1646

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                <pb pagenum="132" xlink:href="026/01/164.jpg"/>
              adhibere priorem progreſſionem Galilei, & in hoc cardine tota verri­
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              tur, meo iudicio, propoſitæ quæſtionis difficultas. </s>
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            <p id="N1904E" type="main">
              <s id="N19050">
                <emph type="center"/>
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              Theorema
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              128.
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              </s>
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            <p id="N1905C" type="main">
              <s id="N1905E">
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              Hinc creſcit reſistentia iuxta rationem crementi impetus
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              ; cum enim cre­
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              ſcant impetus in ratione velocitatum, vt conſtat, & creſcat reſiſtentia
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              medij in eadem ratione per Theor. 127. creſcit etiam in ratione im­
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              petuum. </s>
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            <p id="N1906F" type="main">
              <s id="N19071">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              129.
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              </s>
            </p>
            <p id="N1907D" type="main">
              <s id="N1907F">
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              Hinc creſcit reſistentia medij in eadem ratione, in qua creſcunt vires mobi­
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              lis
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              ; demonſtr. </s>
              <s id="N1908A">quia creſcunt vires, vt creſcit impetus; nam impetus eſt
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              vis illa, quâ mobile ſuperat reſiſtentiam medij vt conſtat, ſed reſiſten­
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              tia creſcit vt impetus per Th. 128. igitur creſcit in ratione virium. </s>
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            <p id="N19092" type="main">
              <s id="N19094">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              130.
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              </s>
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            <p id="N190A0" type="main">
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              Si creſcit reſiſtentia in eadem ratione in qua creſcunt vires, non mutatur
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              progreſſio effectuum.
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              v.g. primo inſtanti impetus ſit vt 1.ſitque 1.ſpatium,
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              in quo eſt reſiſtentia, vt 1. Secundo inſtanti ſit impetus vt 2. reſiſtentia in
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              2. ſpatiis vt 2. haud dubiè ſi vno inſtanti vnus gradus impetus ſuperat
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              reſiſtentiam vt 1. dum percurrit 1.ſpatium; </s>
              <s id="N190B5">certè 2. gradus impetus vno
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              inſtanti ſuperabunt reſiſtentiam vt 2. dum conficit mobile 2. ſpatia; at­
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              que ita deinceps. </s>
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            <p id="N190BD" type="main">
              <s id="N190BF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              132.
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              </s>
            </p>
            <p id="N190CB" type="main">
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              Hinc certè concludo contra Galileum, & alios quoſdam motum grauium
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              poſt aliquod ſpatium decurſum ex naturaliter accelerato non fieri æquabilem,
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              quia in tantum fieret æquabilis in quantum tanta eſſet reſiſtentia, vt no­
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              uam accelerationem impediret; </s>
              <s id="N190DB">ſed hæc ratio nulla eſt; </s>
              <s id="N190DF">quia in eadem
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              ratione creſcit reſiſtentia, in qua creſcunt vires per Th. 129. igitur non
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              mutatur progreſſio motuum per Th. 130. igitur nec acceleratio; </s>
              <s id="N190E7">igitur
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              motus naturalis ex accelerato non fit æquabilis: Equidem, vt iam ſuprà
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              dictum eſt, in minori ſemper ratione creſcit velocitas, itémque ipſa reſi­
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              ſtentia quod in omni progreſſione arithmetica iuxta numeros 1.2.3.4.5. </s>
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            <p id="N190F1" type="main">
              <s id="N190F3">
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              Scholium.
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                <emph.end type="center"/>
              </s>
            </p>
            <p id="N190FF" type="main">
              <s id="N19101">Obſeruabis remitti à nobis motum leuium ſurſum in 5. Tomum, in cu­
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              ius tertio libro agemus de graui, & leui; quia ideo corpus aſcendit, quia
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              ab alio deſcendente truditur ſurſum. </s>
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