Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/017.jpg"/>
              non hunc, ſed huius principium partiatur. </s>
              <s>Incrementa enim
                <lb/>
              motûs
                <expan abbr="atq;">atque</expan>
              impulſûs per lineam fiunt parallelam illi plano, in
                <lb/>
              quo mouetur. </s>
              <s>Quia ergo grauitas mouens impulſum produ­
                <lb/>
              cit continue maiorem: non quem ſibi grauitas collegit, ſed
                <lb/>
              quem natiuum habet ad grauitatem quieſcentem conferri de­
                <lb/>
              bet: vt eadem ſit proportio vectis, quæ partium gravitatis;
                <lb/>
              Quod non niſi in principio motûs contingit. </s>
              <s>Augetur ergo
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              gravitas quieſcens eiuſdem mobilis in eá ratione, quam habet
                <lb/>
              reliquum ſegmentum vectis, ad diſtantiam centri grauitatis à
                <lb/>
              lineâ hypomochlij. </s>
            </p>
            <p type="main">
              <s>His iam definitis: videamus quam vim habeat ille diſcurſus:
                <lb/>
              & an contrariâ illatione noſtram poſitionem conuellat. </s>
              <s>Cùm
                <lb/>
                <expan abbr="itaq;">itaque</expan>
              aſſumit ſegmenta æqvalia GHF. GIF.
                <emph type="italics"/>
              Iſorrhopa:
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              propte­
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              rea, quòd centrum grauitatis habeant in lineà hypomochlij F
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              G, ac proinde exceſſum ſeu præpondium ineſſe reliquo
                <expan abbr="ſegmẽ-to">ſegmen­
                  <lb/>
                to</expan>
              GKFI,
                <expan abbr="motúmq;">motúmque</expan>
              deorſum huius ratione fieri; errat primo
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              quòd ſupponat eadem ratione moueri partes,
                <expan abbr="eundémq;">eundémque</expan>
              dare
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              & recipere impulſum in toto exiſtentes, & dum per ſe mo­
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              uentur: quod à veritate eſt alienum. </s>
              <s>Mouentur enim partes
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              virtute ſui centri;
                <expan abbr="neq;">neque</expan>
              uno modo omnes,
                <expan abbr="neq;">neque</expan>
              ſimiliter. </s>
              <s>Nam
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              cùm per lineas ferantur motui centri parallelas, remotioribus
                <lb/>
              à centro plus ineſt violentiæ:
                <expan abbr="atq;">atque</expan>
                <expan abbr="unaquæq;">unaquæque</expan>
              grauiùs percutit
                <lb/>
              in toto, quàm ſi per ſe moveretur. </s>
              <s>Licet ergo illa ſegmenta
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              ſint æqualia &
                <emph type="italics"/>
              Iſorrhopa,
                <emph.end type="italics"/>
              non
                <expan abbr="tamẽ">tamen</expan>
              ſequitur in toto eandem uim
                <lb/>
              obtinere: cùm à centro grauitatis mutari poſſit, ſicuti habitu­
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              do ad vectem, ita
                <expan abbr="quoq;">quoque</expan>
              ratio impulſus. </s>
              <s>Secundò decipi­
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              tur, quòd comparationem inſtitui velit inter partes mobilis
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              circa hypomochlium ſitas, nullâ habitâ ratione ſitûs, & diſtan­
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              tiæ ab hypomochlio: quod magnum eſt erratum. </s>
              <s>
                <expan abbr="Neq;">Neque</expan>
              enim
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              ſegmentum GIF, ſitu permutato C in I, & contrà, æquipon­
                <lb/>
              derabit ſegmento GHF, aut ſibi ipſi: quomodo ergo reliquum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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