Descartes, René, Renati Des-Cartes principia philosophiae

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="69"/>
            <p type="margin">
              <s>
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              XLIX.
                <lb/>
              Quarta. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg503"/>
              20</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg504"/>
              55</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg505"/>
                <lb/>
              Quintò, ſi corpus quieſcens C eſſet minus quàm B,
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              tunc quantumvis tarde B verſus C moveretur, illud
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              ſecum moveret, partem ſilicet ſui motûs ei talem
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              transferendo, ut ambo poſtea aequè celeriter moveren­
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                <arrow.to.target n="marg506"/>
              tur: nempe, ſi B eſſet duplo majus quàm C, transferret
                <lb/>
              ipſi tertiam partem ſui motûs, quia una illa tertia pars
                <lb/>
              tam celeriter moveret corpus C, quàm duae reſi­
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              duae corpus B duplo majus. </s>
              <s>Et ita, poſtquam B ipſi C
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              occurriſſet, unà tertiâ parte tardiús moveretur quàm
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                <arrow.to.target n="marg507"/>
              priús, hoc eſt tantundem temporis requireret, ut mo­
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              veretur per ſpatium duorum pedum, quàm priús ut
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              moveretur per ſpatium trium. </s>
              <s>ſodem modo, ſi B eſſet
                <lb/>
              triplo majus quàm C, transferret ipſi quartam partem
                <lb/>
              ſui motûs; & ſic de caeteris a. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg505"/>
              L.
                <lb/>
              Quinta. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg506"/>
              5</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg507"/>
              10</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg508"/>
                <lb/>
                <arrow.to.target n="marg509"/>
              Sextà, ſi corpus C quieſcens eſſet accuratiſſimè
                <lb/>
              aequale corpori B verſus illud moto, partim ab ipſo
                <lb/>
              impelleretur, & partim ipſum in contrariam partem
                <lb/>
              repelleret: nempe, ſi B veniret verſus C cum quatuor
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              gradibus celeritatis, communicaret ipſi C unum gra­
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                <arrow.to.target n="marg510"/>
              dum, & cum tribus reſiduis reflecteretur verſus par­
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              tem adverſam b. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg508"/>
              L.
                <lb/>
              Sexta. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg509"/>
              15</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg510"/>
              20</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg511"/>
                <lb/>
              Denique, ſi B & C verſus eandem partem moveren­
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              tur, C quidem tardiús, B autem illud inſequens cele­
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              riús, ita ut ipſum tandem attingeret, eſſetque C majus
                <lb/>
                <arrow.to.target n="marg512"/>
              quàm B, ſed exceſſus celeritatis in B eſſet major, quàm
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              exceſſus magnitudinis in C: tunc B transferret tantum
                <lb/>
              de ſuo motu in C, ut ambo poſtea aequè celeriter & in
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              eaſdem partes moverentur. </s>
              <s>Si autem à contra exceſſus
                <lb/>
              celeritatis in B minor eſſet, quàm exceſſus </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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