Fabri, Honoré, Tractatus physicus de motu locali, 1646

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    <archimedes>
      <text>
        <body>
          <chap id="N24CC8">
            <p id="N256DC" type="main">
              <s id="N256DE">
                <pb pagenum="345" xlink:href="026/01/379.jpg"/>
              per analogiam partium curuarum rotæ extenſarum. </s>
              <s id="N256ED">Vnde ex ſuperiori­
                <lb/>
              bus reſponſionibus, duæ ſi rectè explicentur ſoluunt hunc nodum. </s>
              <s id="N256F2">Tertia
                <lb/>
              verò omninò falſa eſt; </s>
              <s id="N256F8">nam primùm dici poteſt fieri aliquos ſaltus con­
                <lb/>
              tactuum inadæquatorum; </s>
              <s id="N256FE">quia ſcilicet punctum ſecundum BD tangit ſe­
                <lb/>
              cundum BF contactu quidem extremo in puncto arcus, ſed medio in
                <lb/>
              puncto plani; </s>
              <s id="N25706">igitur plures contactus inadæquati inter extremum & me­
                <lb/>
              dium quaſi omittuntur per ſaltus; nullum eſt tamen inſtans, quod ali­
                <lb/>
              quo punctum plani non tangatur aliquo contactu, ab aliquo puncto ar­
                <lb/>
              cus, vel etiam à duobus in ipſa commiſſura, quæ commiſſura ad inſtar
                <lb/>
              puncti mathematici imaginarij concipi poteſt. </s>
            </p>
            <p id="N25712" type="main">
              <s id="N25714">23. Secundò dici poteſt, quod idem punctum arcus BD tangat duo
                <lb/>
              puncta plani BF ſed diuerſo contactu; nec enim duo puncta plani tan­
                <lb/>
              guntur ab eodem puncto arcus contactu medio in ipſo puncto arcus. </s>
              <s id="N2571C">
                <lb/>
              Tertiò denique dici non poteſt ſingula puncta BD ſingulis punctis B
                <lb/>
              F reſpondere, vt conſtat ex dictis, atque ita ex iis, quæ hactenus diximus
                <lb/>
              ſufficienter explicatus eſt ſecundus modus motus rotæ in plano. </s>
            </p>
            <p id="N25724" type="main">
              <s id="N25726">Quod verò ſpectat ad tertium; </s>
              <s id="N2572A">ſi minor globus centro G in eadem
                <lb/>
              figura moueatur, vt motus orbis ſit æqualis motui centri v.g. ex G mo­
                <lb/>
              ueatur in I, ex K perueniat in M, ſitque FM vel GI æqualis arcus FK,
                <lb/>
              & rota minor GF ſecum rapiat maiorem GE; </s>
              <s id="N25736">haud dubiè motus orbis
                <lb/>
              maioris rotæ eſt maior motu centri, vt patet; quippe eo tempore, quo re­
                <lb/>
              uoluitur arcus quadrantis, & centrum acquirit tantùm GI ſubduplum
                <lb/>
              eiuſdem arcus. </s>
            </p>
            <p id="N25740" type="main">
              <s id="N25742">24. Eſt autem in hoc motu eadem difficultas; </s>
              <s id="N25746">nam vel ſingula pun­
                <lb/>
              cta EI reſpondent ſingulis EN, vel duæ EI reſpondent eidem EN vel
                <lb/>
              alterna EI non tangunt per ſaltus; </s>
              <s id="N2574E">atqui nihil horum dici poſſe videtur: </s>
              <s id="N25752">
                <lb/>
              non primum, quia ſunt plura puncta EI quam EN: </s>
              <s id="N25757">non ſecundum,
                <lb/>
              quia ſi duo puncta EI tangerent idem EN; </s>
              <s id="N2575D">igitur duo FK tangerent
                <lb/>
              idem FM quod falſum eſt, non denique tertium; </s>
              <s id="N25765">quia ſi punctum ſecun­
                <lb/>
              dum FK tangat contactu tantum extremo primum FK, ita vt ſit conta­
                <lb/>
              ctus extremus in vtroque id eſt in ſecundo plani, & in ſecundo arcus;
                <lb/>
              haud dubiè ſecundus EI tangit ſecundum EN contactu medio in pun­
                <lb/>
              cto arcus & extremo in puncto plani </s>
            </p>
            <p id="N25771" type="main">
              <s id="N25773">25. Itaque hic motus explicari debet per diuerſos contactas inadæ­
                <lb/>
              quatos; non poteſt tamen fieri, quin minor rota ſuum motum componat
                <lb/>
              cum motu maioris, vt explicauimus abundè, cum de motu circulari, v.g.
                <lb/>
              non poteſt minor rota ita moueri, vt acquirat quodlibet eius punctum
                <lb/>
              locum immediatè non participantem vno inſtanti, ſi ex eo ſequatur aliud
                <lb/>
              punctum, vel eiuſdem rotæ, vel alterius coniunctæ moueri velociùs, vt
                <lb/>
              conſtat ex dictis. </s>
            </p>
            <p id="N25784" type="main">
              <s id="N25786">26. Vides autem primò, motum maioris rotæ accedere propiùs ad cir­
                <lb/>
              cularem, cum mouetur hoc ſecundo motus genere; </s>
              <s id="N2578C">quia ſcilicet motus
                <lb/>
                <expan abbr="cẽtri">centri</expan>
              ſi
                <expan abbr="cõparetur">comparetur</expan>
              cum motu orbis maioris rotæ, minor eſt; </s>
              <s id="N25799">ſi enim nullus
                <lb/>
              eſſet motus centri, ſed tantùm motus orbis, eſſet motus perfectè circula­
                <lb/>
              ris; </s>
              <s id="N257A1">igitur quo minor eſt motus centri, & maior motus orbis, accedit ille </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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