Stevin, Simon, De Beghinselen der Weegconst, 1586

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb pagenum="42"/>
              sy gheuallen daer nu O is, ende E, F, G, H, sullen sijn daer nu P, Q, R, D, ende I, K, daer nu E, F, sijn. </s>
              <s>Maer dit soo wesende, den crans der clooten sal alsulcken ghestalt hebben als sy te vooren dede, ende sullen om de selue redenen de acht clooten ter slincker sijde wederom staltwichtigher sijn dan de ses clooten ter rechter, waer duer de acht clooten wederom neer sullen rollen, ende d'ander ses rijsen, welcke valling ter eender, ende rijsing ter ander, om dat de reden altijdt de selue is, altijdt ghedueren sal, ende de clooten sullen uyt haer seluen een eeuwich roersel maken, t'welck valsch is. </s>
              <s> Het deel dan des crans D, R, Q, P, O, N, M, L, is euestaltwichtich met het deel E, F, G, H, I, K: Maer van sulke euewichtighe ghetrocken euewichtighe, de resten sijn euewichtich, laet ons dan van dat deel trecken de vier clooten O, N, M, L, ende van dit de vier clooten G, H, I, K, (welcke euen sijn ande voornoemde O, N, M, L,) de resten D, R, Q, P, ende E, F, sullen euestaltwichtich sijn, Maer wesende dese twee euestaltwichtich met die vier, E sal tweemael staltswaerder sijn als D. </s>
              <s>Ghelijck dan de lini BA 2, tot de lini BCI, also t'staltwicht des cloots E, tottet staltwicht des cloots D.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg126"/>
                <margin.target id="marg127"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              T'BESLVYT
                <emph.end/>
              . </s>
              <s>Wesende dan een driehouck wiens plat, &c.</s>
            </p>
            <p type="head">
              <s>
                <emph type="other"/>
              I. VERVOLGH
                <emph.end/>
              .</s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              LAET
                <emph.end/>
              ABC een driehouck sijn als vooren, wiens sijde AB dobbel
                <figure number="57"/>
              sy an BC, ende laet op AB ligghen een cloot D, ende op de sijde BC een cloot E euewichtich anden helft van D, ende an F sy een vastpunt daer ouer de lini DFE. (te weten uyt het
                <arrow.to.target n="marg128"/>
              middelpunt des cloots D ouer F tot int middelpunt des cloots E) slieren mach, alsoo dat DF euewydich blijue van AB, ende FE van BC. </s>
              <s>Dit also sijnde, anghesien de vier clooten P, Q, R, D, hier vooren, euestaltwichtich waren met de twee clooten E, F, so sal desen cloot D, euestaltwichtich sijn teghen de cloot E: want ghelijck die P, Q, R, D, tot E, F, also dese D tot E: Daerom ghelijck de lini AB, tot BC, alsoo den cloot D tot den cloot E.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg128"/>
              </s>
            </p>
            <p type="head">
              <s>
                <emph type="other"/>
              II VERVOLGH
                <emph.end/>
              .</s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              LAET
                <emph.end/>
              ons nu d'een sijde des driehouckx
                <figure number="58"/>
              als BC (ande welcke AB dobbel is) rechthouckich stellen op AC als hier neuen; Ende den cloot D die dobbel is an E, sal noch met E euestaltwichtich sijn, want ghelijck AB tot BC, also den cloot D tot den cloot E. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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