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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/103.jpg"/>
                <expan abbr="mediãte">mediante</expan>
              illo glutine ex calce & arenâ multò levioribus;
                <expan abbr="nõ">non</expan>
              poſſe
                <lb/>
              eo modo habere, quo partes continui:
                <expan abbr="neq́">neque</expan>
              ; per modum unius
                <lb/>
              cenſeri in ordine ad impulſum; quem etiam in eodem ſubie­
                <lb/>
              cto, ob partium diſcrimina, oſtendi inæqualem. </s>
              <s>Etenim vi­
                <lb/>
              demus, longè differre hunc
                <expan abbr="nexũ">nexum</expan>
              à partium eiuſdem ſaxi unio­
                <lb/>
              ne, diſſoluto à murarijs cæmento: parte enim averſâ etiam le­
                <lb/>
              viter percuſsâ, illæſo ſaxo, decidunt coagmenta. </s>
              <s>
                <expan abbr="Neq;">Neque</expan>
              obſtat
                <lb/>
              in muro omnia vincta teneri, quò minùs impetus ſimili ratione
                <lb/>
                <expan abbr="atq;">atque</expan>
              in ſolutis pertranſeat. </s>
              <s>Nam ſi pila in plano ſeu manu, ſeu
                <lb/>
              aliâ ratione firmetur, quò minùs moveri poſſit à plagâ; nihilo­
                <lb/>
              minùs ſibi contiguam movet. </s>
              <s>Neceſſe ergo matori pericu­
                <lb/>
              lo ſequi ſaxa minora, quàm æqualia aut maiora: cùm per æqua­
                <lb/>
              lia impetus ad extimum
                <expan abbr="uſq́">uſque</expan>
              ; æqualiter ſe effundat: illisq illæ­
                <lb/>
              ſis & immotis pertranſeat. </s>
              <s>Vnde ſiquid periculi non niſi inter­
                <lb/>
              no parieti creatur, qui facilè refici poteſt. </s>
              <s>Non ita cùm imme­
                <lb/>
              diatè minora ſequuntur: receſſu enim à primis extima pericli­
                <lb/>
              tantur:
                <expan abbr="neq;">neque</expan>
              facilè reparari queunt: unde viſo periculo magis ab
                <lb/>
              hoſte infeſtantur. </s>
              <s>Vt verò quid mihi videatur, dicam: eiuſ­
                <lb/>
              modi ſaxa, quæ calce glutinantur, aut ſunt partes continuæ e­
                <lb/>
              iuſdem molis, aut contiguæ. </s>
              <s>Supponamus primùm eſſe conti­
                <lb/>
              guas & plagam incipere à maiori. </s>
              <s>Cùm
                <expan abbr="itaq;">itaque</expan>
              maius percutiat
                <lb/>
              minus, ſi non aliunde motus impediatur, movebitur minus ab
                <lb/>
              incipiente & necdum perfectâ plagâ: ad cuius motum ſequitur
                <lb/>
              maius per poriſma 2. </s>
              <s>Quòd ſi verò ab aliâ vi detineatur ne­
                <lb/>
              ceſse totum impulſum maioris recipere. </s>
              <s>Et ſi quidem illa vis
                <lb/>
              retentiva ſit minor impulſu; tum ſanè movebitur illud mobile:
                <lb/>
              reliqua verò, quia illorum plaga perfecta, à motu conquieſcent. </s>
              <lb/>
              <s>Vnde tota illa vis diſtractiua partem ultimam obtinet. </s>
              <s>Si
                <lb/>
              autem à minoribus eadem plaga procedat: quia tum hypo­
                <lb/>
              mochlium ſecundi eſt tertium; neceſse non niſi ultimo moto
                <lb/>
              moveri primum: ac proinde impulſum maioris recipere </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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