Clavius, Christoph, Geometria practica

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            <s xml:id="echoid-s11476" xml:space="preserve">
              <pb o="247" file="277" n="277" rhead="LIBER SEXTVS."/>
            CD, DP, HK, reperiatur quarta proportionalis KL. </s>
            <s xml:id="echoid-s11477" xml:space="preserve">Ac tandem tribus DE, EQ,
              <lb/>
            KL, quarta proportionalis inueniatur L N. </s>
            <s xml:id="echoid-s11478" xml:space="preserve">Dico inuentas eſſe quatuor rectas
              <lb/>
            GH, HK, KL, LN, quatuor triangulis proportionales. </s>
            <s xml:id="echoid-s11479" xml:space="preserve">Ductis enim ex A, ad
              <lb/>
            O, P, Q, puncta concurſuum rectis AO, AP, AQ, erit triangulum ACD,
              <note symbol="a" position="right" xlink:label="note-277-01" xlink:href="note-277-01a" xml:space="preserve">37. primi.</note>
              <figure xlink:label="fig-277-01" xlink:href="fig-277-01a" number="180">
                <image file="277-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/277-01"/>
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            gulo ACO; </s>
            <s xml:id="echoid-s11480" xml:space="preserve">& </s>
            <s xml:id="echoid-s11481" xml:space="preserve">triangulum ADE, triangulo ADP; </s>
            <s xml:id="echoid-s11482" xml:space="preserve">& </s>
            <s xml:id="echoid-s11483" xml:space="preserve">triangulum AEF, trian-
              <lb/>
            gulo AEQ, æquale. </s>
            <s xml:id="echoid-s11484" xml:space="preserve">Cum ergo ſit, vt B C, ad C O, hoc eſt, vt G H, ad H K,
              <note symbol="b" position="right" xlink:label="note-277-02" xlink:href="note-277-02a" xml:space="preserve">1. ſexti.</note>
            triangulum ABC, ad triangulum ACO, hoc eſt, ad triangulum A C D: </s>
            <s xml:id="echoid-s11485" xml:space="preserve">Item vt
              <lb/>
            CD, ad DP, hoc eſt, vt HK, ad KL, ita triangulum A C D, ad triangulum A D P,
              <lb/>
            hoc eſt, ad triangulum ADE: </s>
            <s xml:id="echoid-s11486" xml:space="preserve">Et vt DE, ad EQ, hoc eſt, vt KL, ad LN, ita tri-
              <lb/>
            angulum ADE, ad triangulum AEQ, hoc eſt, ad triangulum AEF: </s>
            <s xml:id="echoid-s11487" xml:space="preserve">perſpicuum
              <lb/>
            eſt id, quod proponitur.</s>
            <s xml:id="echoid-s11488" xml:space="preserve"/>
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        <div xml:id="echoid-div703" type="section" level="1" n="246">
          <head xml:id="echoid-head271" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s11489" xml:space="preserve">
              <emph style="sc">Rationes</emph>
            duæ expoſitæ, quæ expeditiſsimè ſunt, propria eſt triangulo-
              <lb/>
            rum, in quæ diuiditur figura per rectas ab vno aliquo puncto in quouis latere
              <lb/>
            dato, vel ab aliquo angulo emiſſas: </s>
            <s xml:id="echoid-s11490" xml:space="preserve">poteſt tamen idem hoc problema abſolui
              <lb/>
            alio modo, qui in quaslibet figuras conuenit, licet non ſit tam expeditus. </s>
            <s xml:id="echoid-s11491" xml:space="preserve">Ita er-
              <lb/>
            go agemus: </s>
            <s xml:id="echoid-s11492" xml:space="preserve">Sit eadem figura proxima diuiſa in triangula, vel etiam in plurium
              <lb/>
            laterum figuras. </s>
            <s xml:id="echoid-s11493" xml:space="preserve">Et primo triangulo ABC, vel primæ figuræ, rectangulum,
              <note symbol="c" position="right" xlink:label="note-277-03" xlink:href="note-277-03a" xml:space="preserve">44. vel 45-
                <lb/>
              primi.</note>
            quoduis aliud parallelogrammum non rectangulum æquale conſtruatur IS: </s>
            <s xml:id="echoid-s11494" xml:space="preserve">Et
              <lb/>
            ſuper rectam RS, aliud parallelogrammum S T, ſecundo triangulo ACD, vel ſe-
              <lb/>
            cundę figuræ æquale, habens angulum SR T, angulo I, æqualem. </s>
            <s xml:id="echoid-s11495" xml:space="preserve">Itẽ ſuper rectã
              <lb/>
            TV, aliud VX, tertio triãgulo ADE, vel tertiæ figuræ æquale, angulũ habẽs VT-
              <lb/>
            X, æqualẽ eidem angulo I: </s>
            <s xml:id="echoid-s11496" xml:space="preserve">Ac deniq; </s>
            <s xml:id="echoid-s11497" xml:space="preserve">ſuper rectam XY, aliud YM, quarto trian-
              <lb/>
            gulo A E F, vel quartæ figuræ æquale, angulum Y X M, habens æqualem eidem
              <lb/>
            angulo I: </s>
            <s xml:id="echoid-s11498" xml:space="preserve">atque ita deinceps, ſi plura fuerint triangula, vel figuræ. </s>
            <s xml:id="echoid-s11499" xml:space="preserve">Dico re-
              <lb/>
            ctas IR, RT, TX, XM, triangulis, vel figuris eſſe proportionales. </s>
            <s xml:id="echoid-s11500" xml:space="preserve">Nam ex </s>
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