Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <body>
          <chap id="N1C940">
            <p id="N1C9D5" type="main">
              <s id="N1C9F0">
                <pb pagenum="196" xlink:href="026/01/228.jpg"/>
              quod demonſtratum eſt ſecundo lib. & verò ſi tibi adhuc non fiat ſatis,
                <lb/>
              probetur hoc Axioma per hypotheſim primam; nam reuerâ ſuppono
                <lb/>
              quòd omnibus experimentis comprobatur, ſcilicet corpus graue per pla­
                <lb/>
              num Inclinatum deorſum ſua ſponte deſcendere, non verò aſcendere niſi
                <lb/>
              propter aliquam reflexionem. </s>
            </p>
            <p id="N1CA05" type="main">
              <s id="N1CA07">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CA14" type="main">
              <s id="N1CA16">
                <emph type="italics"/>
              Motus, qui impeditur, imminuitur, idque pro rata, & viciſſim impeditur
                <lb/>
              qui imminuitur
                <emph.end type="italics"/>
              ; cur enim imminueretur ſeu retardaretur, ſi nullum ſit
                <lb/>
              impedimentum? </s>
            </p>
            <p id="N1CA23" type="main">
              <s id="N1CA25">
                <emph type="center"/>
                <emph type="italics"/>
              Axioma
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CA32" type="main">
              <s id="N1CA34">
                <emph type="italics"/>
              Omne quod impedit motum, debet eſſe applicatum mobili vel per ſe, vel
                <lb/>
              per ſuam virtutem
                <emph.end type="italics"/>
              ; hoc Axioma etiam certum eſt. </s>
            </p>
            <p id="N1CA3F" type="main">
              <s id="N1CA41">
                <emph type="center"/>
                <emph type="italics"/>
              Poſtulatum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CA4D" type="main">
              <s id="N1CA4F">
                <emph type="italics"/>
              Liceat accipere in perpendiculari deorſum, parallelas, cum ſcilicet aſſumi­
                <lb/>
              tur modica altitudo
                <emph.end type="italics"/>
              ; licèt enim non ſint parallelę, quia tamen inſenſibili
                <lb/>
              interuallo ad ſeſe inuicem accedunt, pro parallelis accipiuntur. </s>
            </p>
            <p id="N1CA5C" type="main">
              <s id="N1CA5E">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              1.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CA6B" type="main">
              <s id="N1CA6D">
                <emph type="italics"/>
              Impeditur motus corporis in plano inclinato
                <emph.end type="italics"/>
              ; certum eſt quod impedia­
                <lb/>
              tur, quia tardiore motu deſcendit mobile per hyp. </s>
              <s id="N1CA78">2. igitur impeditur
                <lb/>
              per Axio.2. </s>
            </p>
            <p id="N1CA7D" type="main">
              <s id="N1CA7F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CA8C" type="main">
              <s id="N1CA8E">
                <emph type="italics"/>
              Ideo impeditur, quia impeditur linea ad quam determinatus eſt impetus
                <lb/>
              innatus
                <emph.end type="italics"/>
              ; cum ſit determinatus ad lineam perpendicularem deorſum per
                <lb/>
              Ax.1. cur enim potiùs ad vnam lineam quàm ad aliam? </s>
              <s id="N1CA9B">atqui id tan­
                <lb/>
              tùm planum inclinatum efficit, vel impedit, ne deorſum rectà tendere
                <lb/>
              poſſit; igitur ex eo tantùm capite impedit. </s>
            </p>
            <p id="N1CAA3" type="main">
              <s id="N1CAA5">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              3.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CAB2" type="main">
              <s id="N1CAB4">
                <emph type="italics"/>
              Non totus impeditur motus in plano inclinato
                <emph.end type="italics"/>
              ; </s>
              <s id="N1CABD">quia ſi totus impediretur,
                <lb/>
              nullus eſſet omninò motus ſuper eodem plano, ſed per planum inclina­
                <lb/>
              tum mobile deorſum mouetur per hyp.1.igitur totus motus non impedi­
                <lb/>
              tur; hinc ratio à priori primæ hypotheſeos. </s>
            </p>
            <p id="N1CAC7" type="main">
              <s id="N1CAC9">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              4.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CAD6" type="main">
              <s id="N1CAD8">
                <emph type="italics"/>
              In ea proportione minùs mouetur, in quæ plùs impeditur
                <emph.end type="italics"/>
              ; </s>
              <s id="N1CAE1">probatur per
                <lb/>
              Axioma 2.cum enim motus imminuatur, quia impeditur per idem Axio­
                <lb/>
              ma; </s>
              <s id="N1CAE9">certè quò plùs impeditur, plùs imminuitur; ſed quò plùs imminui­
                <lb/>
              tur, minor eſt, ergo quò plùs impeditur, minor eſt. </s>
            </p>
            <p id="N1CAEF" type="main">
              <s id="N1CAF1">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              5.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1CAFE" type="main">
              <s id="N1CB00">
                <emph type="italics"/>
              Eò plùs impeditur motus, quò maius ſpatium conficiendum eſt ad ac­
                <lb/>
              quirendam
                <expan abbr="eãdem">eandem</expan>
              altitudinem, ſeu diſtantiam à centro, illo ſpatio,
                <lb/>
              quod conficitur in perpendiculari deorſum
                <emph.end type="italics"/>
              ; hoc Theor. vt clariùs
                <lb/>
              demonſtretur, aliquid figuræ tribuendum eſt. </s>
              <s id="N1CB15">ſit perpendicularis deor-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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