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

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      <text>
        <body>
          <chap>
            <pb xlink:href="063/01/064.jpg"/>
            <p type="main">
              <s>Idem Quadratum
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              abcd
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              occurrat plano
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              ax
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              ad angulos re­
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              ctos, motu centri
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              e
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              inæqualiter ſecante baſim
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              ad
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              in
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              pd
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              maius,
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              &
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              ap
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              minus ſegmentum: dico motum reflecti in illam partem,
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              in quâ eſt ſegmentum maius
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              pd.
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              Ductâ enim lineâ hypo­
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              mochlij
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              ag,
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              & à centro ad eam perpendiculari
                <emph type="italics"/>
              ef;
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              erit gra­
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              uitas mouens centri à percuſſione quadratum
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              ef,
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                <expan abbr="atq;">atque</expan>
              huius
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              complementum quadratum
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              af
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              menſura plagæ: vectis autem
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                <emph type="italics"/>
              ea,
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              cuius quadratum grauitas tota, ſeu impulſus. </s>
              <s>Et quia
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              plaga fit per lineam
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              ea;
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              erit motus à percuſſione in eadem lineâ
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                <emph type="italics"/>
              ea:
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              per 5 theor. 2 part: motus autem centri à reliquo impulſu
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              in lineâ
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              ek
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              tangente circuli centro
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              a
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              deſcripti. </s>
              <s>Quòd ſi ergo
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              fiat ut
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              ef
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              motus centri ad
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              af
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              motum repercuſſum, ita
                <emph type="italics"/>
              ek
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              ad
                <lb/>
                <emph type="italics"/>
              eh;
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              erit diameter parallelogrammi
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              ehik
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              motus medius per
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              prop: 32 ac proinde motus reflexus in partem ſegmenti ma­
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              ioris </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA V.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Motus Pentagoni perpendicularis ad planum & latus eiusdem,
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              in ſe ipſum reflectit.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Nam in primâ quidem figurâ, quia & motus centri & pla­
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              ga tota eſt in lineâ
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              ef;
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              erit motus reflexus in eadem lineâ
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              ef.
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                <lb/>
              In ſecundâ autem figurâ lineæ percuſſionis ſunt
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              fa fg fe:
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                <lb/>
              motus ergò reflexus in
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              fh. fc. fi.
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              Et quia motus in
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              fh
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              &
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              fi
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                <lb/>
              ſunt ſub contrarij
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              inter ſe æquales per defini: 4 erit per
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              prop: 32 motus medius linea
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              fc:
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              ac proinde cùm hæc ſit via con­
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              tri, motus in ſe ipſum reflectit. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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