Descartes, René, Renati Des-Cartes principia philosophiae

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="68"/>
            <p type="margin">
              <s>
                <margin.target id="marg493"/>
              XLV.
                <lb/>
              Quomodo poſſit deter­
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              minari, quantum cu­
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              juſque corporis mo­
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              tus mutetur propter
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              aliorum corporum
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              regulas ſequentes. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg494"/>
              20</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg495"/>
              25</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg496"/>
                <lb/>
              Primò, ſi duo illa corpora, puta B & C, eſſent planè
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              aequalia, & aequè velociter moverentur, B quidem à
                <lb/>
                <arrow.to.target n="fig4"/>
              dextrâ verſuſ ſiniſtram, & C illi in
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              directum ¬à ſiniſtrâ verſus dextram,
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              cùm ſibi mutuò
                <arrow.to.target n="marg497"/>
              refle­
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              cterentur, & poſtea pergerent moveri, B verſus dex­
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              tram & C verſus ſiniſstram, mullâ parte ſuae celeritatis
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              amiſſâ a. </s>
            </p>
            <p type="margin">
              <s>
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                <lb/>
              XLVI
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              Prima. </s>
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            <p type="margin">
              <s>
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              5</s>
            </p>
            <figure id="fig4" number="4"/>
            <p type="main">
              <s>
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                <lb/>
              Secundò, ſi B eſſet tantillò majus quàm C, caeteris
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              poſitis ut priùs, tunc ſolum C reflecteretur, &
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              utrum­
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              que verſus ſiniſtram eâdem, ceoerotate movereteur.
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                <arrow.to.target n="marg500"/>
                <lb/>
              Tertiò, ſi mole eſſent aequalia, ſed B tantillò cele­
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              riùs moveretur quàm C, non tantùm ambo pergerent
                <lb/>
              moveri verſus ſiniſstram, ſed etiam transferretur ex B
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              in C media pars celeritatis quâ hoc ab
                <arrow.to.target n="marg501"/>
              excedere­
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              tur: hoc eſt, ſi fuiſſent priùs ſex gradus celeritatis in
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              B, & quatuor tantùm in C, post mutuum occurſum
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              unumquodque tenderet verſus ſinistram, cum quinque
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              gradibus celeritatis. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg498"/>
              XLVII.
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              Secunda. </s>
            </p>
            <p type="margin">
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              10</s>
            </p>
            <p type="margin">
              <s>
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              XLVIII.
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              Tertia. </s>
            </p>
            <p type="margin">
              <s>
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              15</s>
            </p>
            <p type="main">
              <s>
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                <lb/>
              Quartò, ſi corpus C planè quieſceret, eſſetque
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                <lb/>
              majus quàm B, quâcunque cum celeritate B movere­
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              tur verſus C, nunquam ipſum C moveret; ſed ab eo
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              reppeleretur in contrariam partem: quia corpus quieſ­
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              cens magis reſiſtit magnae celeritati quàm parvae, idque
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              pro ratione exceſſús unius ſupra alteram; &
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                <lb/>
              ſemper major eſſet vis in C ad reſi:ſtendum, quàrn in B
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              ad impellendum b. </s>
            </p>
          </chap>
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    </archimedes>