Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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          <pb o="34" file="527.01.034" n="34" rhead="1 L*IBER* S*TATICÆ*"/>
        </div>
        <div xml:id="echoid-div169" type="section" level="1" n="130">
          <head xml:id="echoid-head139" xml:space="preserve">C*ONSECTARIUM*.</head>
          <p>
            <s xml:id="echoid-s1005" xml:space="preserve">Vnde conſequitur. </s>
            <s xml:id="echoid-s1006" xml:space="preserve">Si ratio ponderis in I quieſcentis, ad pondus H quære-
              <lb/>
            retur, ductis perpendicularibus K L, M N, ſecantibus E F axem in O, P, ra-
              <lb/>
            tionem G O ad G P fore quæſitam. </s>
            <s xml:id="echoid-s1007" xml:space="preserve">Vnde & </s>
            <s xml:id="echoid-s1008" xml:space="preserve">iſtud deducitur, columnæ gra-
              <lb/>
            vitate cognitâ: </s>
            <s xml:id="echoid-s1009" xml:space="preserve">pondera quoque cognoſci quæ cuique puncto, ut H & </s>
            <s xml:id="echoid-s1010" xml:space="preserve">I, in-
              <lb/>
            nituntur.</s>
            <s xml:id="echoid-s1011" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div170" type="section" level="1" n="131">
          <head xml:id="echoid-head140" xml:space="preserve">HACTENVS RECTORVM</head>
          <head xml:id="echoid-head141" xml:space="preserve">PONDERVM GENERA DICTA SVNT; OBLI-
            <lb/>
          QVORVM PROPRIETATES DEINCEPS</head>
          <head xml:id="echoid-head142" style="it" xml:space="preserve">deſcribendæ ſunt, quarum omnium genera-
            <lb/>
          lem veritatem tanquam fundamentum istud
            <lb/>
          theoremata complectitur.</head>
          <head xml:id="echoid-head143" xml:space="preserve">11 THEOREMA. 19 PROPOSITIO.</head>
          <p>
            <s xml:id="echoid-s1012" xml:space="preserve">Si triangulum planum horizonti eſt perpendiculare, ba-
              <lb/>
            ſis parallela, reliquis autem lateribus globi ſinguli addan-
              <lb/>
              <note position="left" xlink:label="note-527.01.034-01" xlink:href="note-527.01.034-01a" xml:space="preserve">Intellige ſaco-
                <lb/>
              ma põdus eſſe
                <lb/>
              quod additur
                <lb/>
              ad æquipon-
                <lb/>
              dium faci@n-
                <lb/>
              dum. Cui an-
                <lb/>
              tiſac
                <unsure/>
              oma op-
                <lb/>
              poſuimus.</note>
            trum ad ſiniſtrum: </s>
            <s xml:id="echoid-s1013" xml:space="preserve">ita ſacoma globi ſiniſtri ad antiſacoma
              <lb/>
            globi dextri.</s>
            <s xml:id="echoid-s1014" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1015" xml:space="preserve">D*ATVM*. </s>
            <s xml:id="echoid-s1016" xml:space="preserve">A B C triangulum eſto cujus planũ ad horizontem ſit rectum
              <lb/>
            baſis vero parallela. </s>
            <s xml:id="echoid-s1017" xml:space="preserve">additorq́ue lateri A B, quod ad B C eſt duplum, globus
              <lb/>
            D. </s>
            <s xml:id="echoid-s1018" xml:space="preserve">lateri vero B C globus E & </s>
            <s xml:id="echoid-s1019" xml:space="preserve">ponde-
              <lb/>
              <figure xlink:label="fig-527.01.034-01" xlink:href="fig-527.01.034-01a" number="54">
                <image file="527.01.034-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.034-01"/>
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            re & </s>
            <s xml:id="echoid-s1020" xml:space="preserve">magnitudine æqualis cum D.</s>
            <s xml:id="echoid-s1021" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1022" xml:space="preserve">Q*VAESITVM*. </s>
            <s xml:id="echoid-s1023" xml:space="preserve">Demonſtrandũ no-
              <lb/>
            bis eſt, quemadmodum latus A B 2, ad
              <lb/>
            latus B C 1: </s>
            <s xml:id="echoid-s1024" xml:space="preserve">ita ſacoma globi E, ad an-
              <lb/>
            tiſacoma globi D.</s>
            <s xml:id="echoid-s1025" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1026" xml:space="preserve">P*RAEPARATIO*. </s>
            <s xml:id="echoid-s1027" xml:space="preserve">Triangulũ A B C
              <lb/>
            quatuordecim globorum pondere & </s>
            <s xml:id="echoid-s1028" xml:space="preserve">
              <lb/>
            magnitudine æqualium, quaſi coronâ
              <lb/>
            ut E, F, G, H, I, K, L, M, N, O, P, Q, R, D,
              <lb/>
            cunctum ſingamus, qui omnes lineâ per
              <lb/>
            cĕtro ipſorum, ut in illis moveri poſſint,
              <lb/>
            tranſeunte, colligati æquali inter ſeſpa-
              <lb/>
            cio diſtent, ut illorũ bini lateri B C, qua-
              <lb/>
            terni vero B A accommodentur, hoc eſt, quemadmodum linea ad lineam; </s>
            <s xml:id="echoid-s1029" xml:space="preserve">ita
              <lb/>
            globi ſint ad globos. </s>
            <s xml:id="echoid-s1030" xml:space="preserve">Inſuper in S, T, V tria ſint puncta immota ac ſixa, quæà
              <lb/>
            lineâ ſive globorum funiculo, cum movetur, raduntur, ac ſtringuntur: </s>
            <s xml:id="echoid-s1031" xml:space="preserve">duæq́
              <lb/>
            funiculi partes, quæ ſupra trianguli baſin, lateribus A B, B C ſint parallelæ,
              <lb/>
            ut, quando connexio illa ſeriesq́; </s>
            <s xml:id="echoid-s1032" xml:space="preserve">globorum adſcendit, deſcenditve, globi pes
              <lb/>
            crura A B, B C volui poſſint.</s>
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