Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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            <s xml:id="echoid-s3011" xml:space="preserve">
              <pb o="133" file="0193" n="211" rhead="HOROLOG. OSCILLATOR."/>
            lis eſt ſolido, quod fit ducendo figuram eandem, in
              <lb/>
              <note position="right" xlink:label="note-0193-01" xlink:href="note-0193-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS.</emph>
              </note>
            altitudinem æqualem diſtantiæ centri gravitatis fi-
              <lb/>
            guræ, ab recta per quam abſciſſus eſt cuneus.</s>
            <s xml:id="echoid-s3012" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3013" xml:space="preserve">Sit, ſuper figura plana A C B, cuneus A B D abſciſſus
              <lb/>
              <note position="right" xlink:label="note-0193-02" xlink:href="note-0193-02a" xml:space="preserve">TAB. XI.
                <lb/>
              Fig. 4.</note>
            plano ad angulum ſemirectum inclinato, ac transeunte per
              <lb/>
            E E, rectam tangentem figuram A C B, inque ejus plano
              <lb/>
            ſitam. </s>
            <s xml:id="echoid-s3014" xml:space="preserve">Centrum vero gravitatis figuræ ſit F, unde in rectam
              <lb/>
            E E ducta ſit perpendicularis F @. </s>
            <s xml:id="echoid-s3015" xml:space="preserve">Dico cuneum A C B æ-
              <lb/>
            qualem eſſe ſolido, quod fit ducendo figuram A C B in al-
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            titudinem ipſi F A æqualem.</s>
            <s xml:id="echoid-s3016" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3017" xml:space="preserve">Intelligatur enim figura A C B diviſa in particulas mini-
              <lb/>
            mas æquales quarum una G. </s>
            <s xml:id="echoid-s3018" xml:space="preserve">Itaque conſtat, ſi harum ſin-
              <lb/>
            gulæ ducantur in diſtantiam ſuam ab recta E E, ſummam
              <lb/>
            productorum fore æqualem ei quod fit ducendo rectam A F
              <lb/>
            in particulas omnes , hoc eſt, ei quod fit ducendo
              <note symbol="*" position="right" xlink:label="note-0193-03" xlink:href="note-0193-03a" xml:space="preserve">Prop. 1.
                <lb/>
              huj.</note>
            ipſam A C B, in altitudinem æqualem A F. </s>
            <s xml:id="echoid-s3019" xml:space="preserve">Atqui particu-
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            læ ſingulæ ut G, in diſtantias ſuas G H ductæ, æquales
              <lb/>
            ſunt parallelepipedis, vel prismatibus minimis, ſuper ipſas
              <lb/>
            erectis, atque ad ſuperficiem obliquam A D terminatis, qua-
              <lb/>
            le eſt G K; </s>
            <s xml:id="echoid-s3020" xml:space="preserve">quia horum altitudines ipſis diſtantiis G H æ-
              <lb/>
            quantur, propter angulum ſemirectum inclinationis plano-
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            rum A D & </s>
            <s xml:id="echoid-s3021" xml:space="preserve">A C B. </s>
            <s xml:id="echoid-s3022" xml:space="preserve">Patetque ex his parallelepipedis totum
              <lb/>
            cuneum A B D componi. </s>
            <s xml:id="echoid-s3023" xml:space="preserve">Ergo & </s>
            <s xml:id="echoid-s3024" xml:space="preserve">cuneus ipſe æquabitur ſo-
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            lido ſuper baſi A C B, altitudinem habenti rectæ F A æ-
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            qualem. </s>
            <s xml:id="echoid-s3025" xml:space="preserve">quod erat demonſtrandum.</s>
            <s xml:id="echoid-s3026" xml:space="preserve"/>
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        <div xml:id="echoid-div261" type="section" level="1" n="98">
          <head xml:id="echoid-head124" xml:space="preserve">PROPOSITIO VIII.</head>
          <p style="it">
            <s xml:id="echoid-s3027" xml:space="preserve">SI figuram planam linea recta tangat, diviſaque
              <lb/>
            intelligatur figura in particulas minimas æqua-
              <lb/>
            les, atque à ſingulis ad rectam illam perpendicula-
              <lb/>
            res ductæ: </s>
            <s xml:id="echoid-s3028" xml:space="preserve">erunt omnium harum quadrata, ſimul
              <lb/>
            ſumpta, æqualia rectangulo cuidam, multiplici ſe-
              <lb/>
            cundum ipſarum particularum numerum; </s>
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