Stevin, Simon, De Beghinselen der Weegconst, 1586

Table of figures

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      <text>
        <body>
          <chap>
            <pb pagenum="55"/>
            <p type="head">
              <s>
                <emph type="other"/>
              XIIII. VERTOOCH
                <emph.end/>
              .
                <emph type="other"/>
              XXIII. VOORSTEL
                <emph.end/>
              .</s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              EVEN
                <emph.end/>
              ghewichten der trecklinien van een selfde punt des as, ende op verscheyden sijden met den as euen houcken makende; doen anden pilaer euen ghewelden. </s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              TGHE
                <emph.end/>
              . </s>
              <s>Laet AB een pilaer sijn diens as CD, ende vastpunt daer in E,
                <figure number="78"/>
              en t'roerlick punt F, an t'welck een scheefhefwicht G sy, dat den pilaer in die ghestalt houde, ende diens scheefheflini FH. </s>
              <s>Laet oock an t'selue punt F gheuoucht wesen een scheefhefwicht I, ouer d'ander sijde, ende met G euewichtich, ende diens scheefheflini FK, den houck KFD euen make anden houck HFC. </s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              T'BEGHEERDE
                <emph.end/>
              . </s>
              <s>Wy moeten bewysen dat I anden pilaer euen sulcken ghewelt doet als G, te weten dat I (G gheweert sijnde) den pilaer oock in die ghestalt sal houden. </s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              T'BEREYTSEL
                <emph.end/>
              . </s>
              <s>Laet an t'punt F gheuoucht worden t'rechthefwicht L dat den pilaer oock in die ghestalt can houden, ende sijn rechtheflini sy FM. </s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              T'BEWYS
                <emph.end/>
              . </s>
              <s>Want de linien FH, FK, sijn tusschen de
                <arrow.to.target n="marg152"/>
              euewydighe HK, CD, ende dat den houck HFC, euen is (door t'ghegheuen) an den houck KFD, so sijn FH ende FK euen. </s>
              <s>waer uyt volght dat ghelijck MF tot FH, alsoo MF tot FK, Maer ghelijck MF tot FH, alsoo L tot G, daerom oock ghelijck MF tot FK, also L tot G; maer I is euen an G door t'ghestelde, ghelijck dan MF tot FK, alsoo L tot I. </s>
              <s>T'welck so sijnde, I houdt den pilaer in die ghestalt door het 20 voorstel. </s>
              <s>Sghelijcx sal oock t'bewijs sijn in alle anderen voorbeelden. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg152"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              T'BESLVYT
                <emph.end/>
              . </s>
              <s>Euen ghewichten dan der trecklinien van een selfde punt des as, ende op verscheyden sijden met den as euen houcken makende; doen anden pilaer euen ghewelden, t'welck wy bewysen moesten.</s>
            </p>
            <p type="head">
              <s>
                <emph type="other"/>
              XV. VERTOOCH
                <emph.end/>
              .
                <emph type="other"/>
              XXIIII. VOORSTEL
                <emph.end/>
              .</s>
            </p>
            <p type="main">
              <s>
                <emph type="other"/>
              ALS
                <emph.end/>
              des ghewichts trecklini rechthouckich op den as is; Soo doedet anden pilaer ghegeuener ghestalt de grootste ghewelt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>