Clavius, Christoph, Geometria practica

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          <p>
            <s xml:id="echoid-s11192" xml:space="preserve">
              <pb o="240" file="270" n="270" rhead="GEOMETR. PRACT."/>
            tertia proportionalis B D, acper D, ipſi B C, parallela agatur D E. </s>
            <s xml:id="echoid-s11193" xml:space="preserve">Rectan-
              <lb/>
            gulumenim B E, rectilineo dato A, æquale erit; </s>
            <s xml:id="echoid-s11194" xml:space="preserve"> cum quadrato F G H,
              <note symbol="a" position="left" xlink:label="note-270-01" xlink:href="note-270-01a" xml:space="preserve">17. ſexti.</note>
            quale ſit; </s>
            <s xml:id="echoid-s11195" xml:space="preserve">propterea quod tres rectæ B C, F G, B D, continuè proportiona-
              <lb/>
            les ſunt.</s>
            <s xml:id="echoid-s11196" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11197" xml:space="preserve">
              <emph style="sc">Immo</emph>
            eodem hoc artificio vti poterimus, quando parallelæ BI, CK, non
              <lb/>
            faciunt angulosrectos ad B, & </s>
            <s xml:id="echoid-s11198" xml:space="preserve">C. </s>
            <s xml:id="echoid-s11199" xml:space="preserve">Nam conſtituto rectangulo CD, æquali qua-
              <lb/>
            drato FH, id eſt, rectilineo A, vt dictum eſt: </s>
            <s xml:id="echoid-s11200" xml:space="preserve">ſi producaturlatus DE, donec ſecet
              <lb/>
            rectas B I, C K, in I, K, erit parallelogrammum BK, rectangulo CD,
              <note symbol="b" position="left" xlink:label="note-270-02" xlink:href="note-270-02a" xml:space="preserve">35. primi.</note>
            hoceſt, rectilineo A.</s>
            <s xml:id="echoid-s11201" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11202" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11203" xml:space="preserve">
              <emph style="sc">Si</emph>
            verò duæ rectæ BD, CE, non ſint parallelæ, conueniant ad partes D,
              <lb/>
            E, in F, (quod tumfiet, cum duo anguli DBC, ECB, minores ſunt duobus re-
              <lb/>
            ctis) ſitque primum propoſitum ſuper B C, verſus F, conſtituere trapezium
              <lb/>
            rectilineo A, æquale, habenslatus rectæ B C
              <unsure/>
            , oppoſitum eidem B C, paralle-
              <lb/>
            lum. </s>
            <s xml:id="echoid-s11204" xml:space="preserve">quodvtfieri poſsit, neceſſe eſt, rectilineum A, minus eſſe triangulo BCF,
              <lb/>
            vt patet.</s>
            <s xml:id="echoid-s11205" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11206" xml:space="preserve">
              <emph style="sc">Rectilineo</emph>
            ergo A, conſtruatur perea, quæ in ſcholio propoſ. </s>
            <s xml:id="echoid-s11207" xml:space="preserve">14. </s>
            <s xml:id="echoid-s11208" xml:space="preserve">lib.
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            </s>
            <s xml:id="echoid-s11209" xml:space="preserve">
              <figure xlink:label="fig-270-01" xlink:href="fig-270-01a" number="175">
                <image file="270-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/270-01"/>
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            2. </s>
            <s xml:id="echoid-s11210" xml:space="preserve">Euclid. </s>
            <s xml:id="echoid-s11211" xml:space="preserve">vel potius perea, quæ Num. </s>
            <s xml:id="echoid-s11212" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11213" xml:space="preserve">cap. </s>
            <s xml:id="echoid-s11214" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11215" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s11216" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11217" xml:space="preserve">huius, vtproximè dixi-
              <lb/>
              <note symbol="c" position="left" xlink:label="note-270-03" xlink:href="note-270-03a" xml:space="preserve">14. ſecundi.</note>
            mus, æquale quadratum G, cuius latus H I. </s>
            <s xml:id="echoid-s11218" xml:space="preserve"> Item triangulo B C F, æquale quadratum K, cuius latus L M. </s>
            <s xml:id="echoid-s11219" xml:space="preserve">Deinde duabus rectis L M, H I: </s>
            <s xml:id="echoid-s11220" xml:space="preserve">reperiatur
              <lb/>
            tertia proportionalis L N. </s>
            <s xml:id="echoid-s11221" xml:space="preserve">Inuenta autem recta O, media proportionali in-
              <lb/>
            ter L M, & </s>
            <s xml:id="echoid-s11222" xml:space="preserve">M N; </s>
            <s xml:id="echoid-s11223" xml:space="preserve">fiat vt L M, ad O, ita B F, ad F D; </s>
            <s xml:id="echoid-s11224" xml:space="preserve">actandem per D, ipſi
              <lb/>
            B C, parallela agatur D E. </s>
            <s xml:id="echoid-s11225" xml:space="preserve">Dico Trapezium B E, rectilineo A, æquale </s>
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