Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <front>
          <section>
            <pb xlink:href="026/01/028.jpg"/>
            <p id="N10FD1" type="main">
              <s id="N10FD3">8. In maiori quadrante, circa ſupremam extremitatem, eſt minor
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              inclinatio, quàm in minore; </s>
              <s id="N10FD9">hic enim ſtatim detorquetur à perpen­
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              diculo, cum quo facit angulum maiorem: </s>
              <s id="N10FDF">at verò circa infirmam
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              extremitatem, eſt maior inclinatio in maiore, quàm in minore: </s>
              <s id="N10FE5">hinc,
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              ſi comparetur vibratio maioris, cum vibratione minoris in modico
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              arcu, tempus illius eſt paulò maius duplo, temporis huius; in maxi­
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              mo arcu paulò minùs duplo, dum, ſcilicet, longitudinum ratio
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              ſit quadrupla. </s>
            </p>
            <p id="N10FF1" type="main">
              <s id="N10FF3">9. In deſcenſu funependuli velocitas acquiſita eſt eadem cum ea,
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              quæ in ſubtenſa eiuſdem arcus acquiritur: </s>
              <s id="N10FF9">hinc ſunt ijdem ictus: </s>
              <s id="N10FFD">
                <lb/>
              numerus, vibrationum non eſt infinitus, licèt in vacuo vibraretur
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              funependulum; </s>
              <s id="N11004">quia, cùm ſingulæ imminuantur, & infinitis pun­
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              ctis non conſtent; </s>
              <s id="N1100A">tandem ad vltimam peruenitur: </s>
              <s id="N1100E">illa autem eſt vl­
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              tima, in cuius deſcenſu acquiritur tantùm vnum punctum impetus
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              ſupra innatum; in ea tamen ſententia, quæ vel infinitas partes actu,
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              vel infinita puncta cognoſcit, certè nunquam quieſceret funepen­
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              dulum in vacuo vibratum. </s>
            </p>
            <p id="N1101A" type="main">
              <s id="N1101C">10. Funependulum in fine aſcenſus non quieſcit vno inſtanti; </s>
              <s id="N11020">
                <lb/>
              quia impetui innato
                <expan abbr="nũquam">nunquam</expan>
              redditur æqualis acquiſitus; </s>
              <s id="N11029">poſita ta­
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              men illa æqualitate, inſtanti ſequenti eſſet quies: </s>
              <s id="N1102F">funependulum
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              grauius citiùs deſcendit; </s>
              <s id="N11035">eſt enim eadem ratio, quæ fuit pro mo­
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              tu naturali; </s>
              <s id="N1103B">corpus oblongum ſolidum circa punctum immobile
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              in circulo verticali rotatum vibratur adinſtat funependuli; deſ­
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              cendit tamen citiùs, quàm funependulum eiuſdem longitudinis. </s>
            </p>
            <p id="N11043" type="main">
              <s id="N11045">11. Ratio facilis eſt; </s>
              <s id="N11048">quia partes ſolidæ, quæ accedunt propiùs
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              ad extremitatem immobilem, accelerant motum aliarum, quæ
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              ad mobilem extremitatem accedunt; </s>
              <s id="N11050">faciunt enim arcum mino­
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              rem: </s>
              <s id="N11056">hinc aſcenſus non peruenit ad tantam ſublimitatem; </s>
              <s id="N1105A">quia, vt
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              prædictæ partes accelerant motum aliarum in deſcenſu, ita retar­
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              dant in deſcenſu: </s>
              <s id="N11062">hinc citiùs quieſcit hoc penduli genus, quàm
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              aliud: </s>
              <s id="N11068">ex hoc colligo paradoxon, ſcilicet, corpus moueri poſſe ſua
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              ſponte velociùs in arcu deorſum, quàm in perpendiculo; v.g. ſi iuxta
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              extremitatem immobilem ſit nodus plumbeus, cuius vi, altera ex­
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              tremitas longiùs diſtans deorſum rapiatur. </s>
            </p>
            <figure id="id.026.01.028.1.jpg" xlink:href="026/01/028/1.jpg" number="13"/>
            <p id="N11079" type="main">
              <s id="N1107B">
                <emph type="center"/>
                <emph type="italics"/>
              De motu mixto ex circulari.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N11086" type="main">
              <s id="N11088">1. ROta, quæ mouetur in ſuperficie plana, mouetur motu mixto
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              ex recto centri, & circulari orbis: </s>
              <s id="N1108E">axis tantùm rotæ mouetur
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              motu recto: </s>
              <s id="N11094">punctum contactus rotæ mouetur motu tardiſſimo, </s>
            </p>
          </section>
        </front>
      </text>
    </archimedes>
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