Clavius, Christoph, Geometria practica

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            <s xml:id="echoid-s11384" xml:space="preserve">
              <pb o="244" file="274" n="274" rhead="GEOMETR. PRACT."/>
            tionalis S N, quæ terminetur in N, (qualis fuit tertia proportionalis S N, dua-
              <lb/>
            bus K N, & </s>
            <s xml:id="echoid-s11385" xml:space="preserve">X, inuenta) vel cuius terminus vltra N, cadat. </s>
            <s xml:id="echoid-s11386" xml:space="preserve">Quando enim ter-
              <lb/>
            minatur in N, erit rectilineum inter B I, & </s>
            <s xml:id="echoid-s11387" xml:space="preserve">vltimam parallelam comprehenſum
              <lb/>
              <figure xlink:label="fig-274-01" xlink:href="fig-274-01a" number="177">
                <image file="274-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/274-01"/>
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            æquale quadrato K M, hoc eſt, rectilineo A, vt oſtenſum fuit de rectilineo BH,
              <lb/>
            paulo ante hunc Num. </s>
            <s xml:id="echoid-s11388" xml:space="preserve">8. </s>
            <s xml:id="echoid-s11389" xml:space="preserve">Quando autem terminus tertiæ proportionalis ca-
              <lb/>
            dit vltra N, videlicet in b. </s>
            <s xml:id="echoid-s11390" xml:space="preserve">ita vt rectangulum Y d, ſit æquale vltimo quadrato
              <lb/>
            inuento, hoc eſt, rectilineo D H; </s>
            <s xml:id="echoid-s11391" xml:space="preserve">ac proinde totum rectilineuminter BI, & </s>
            <s xml:id="echoid-s11392" xml:space="preserve">vlti-
              <lb/>
            mam parallelam, hoc eſt, rectangulum K d, maius quadrato K M, vel rectilineo
              <lb/>
            A; </s>
            <s xml:id="echoid-s11393" xml:space="preserve">erit vltimum rectilineum D H, maius rectangulo N d, propterea quod K Z,
              <lb/>
            ipſi BH, æquale eſt, & </s>
            <s xml:id="echoid-s11394" xml:space="preserve">Y d, ipſi D H. </s>
            <s xml:id="echoid-s11395" xml:space="preserve">Quare ſi ſuper rectam D a, inter rectas D V,
              <lb/>
            a H, conſtituatur trapezium D f, per parallelam e f, rectangulo N d, æquale, vt
              <lb/>
            ſupra Num. </s>
            <s xml:id="echoid-s11396" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11397" xml:space="preserve">traditum eſt: </s>
            <s xml:id="echoid-s11398" xml:space="preserve">erit rectilineum inter B I, & </s>
            <s xml:id="echoid-s11399" xml:space="preserve">e f, parallelas conten-
              <lb/>
            tum æquale quadrato K M, hoc eſt, rectilineo A.</s>
            <s xml:id="echoid-s11400" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11401" xml:space="preserve">
              <emph style="sc">Cætervm</emph>
            non eſt neceſſe, vt ſemper à proximo angulo parallela duca-
              <lb/>
            tur in figura B F. </s>
            <s xml:id="echoid-s11402" xml:space="preserve">Quando namque ſenſus iudicaret plus minus, parallelam ex
              <lb/>
            aliquo angulo non proximo ductam auferre rectilineum minus quadrato
              <lb/>
            K M, vel non multò maius, ducenda eſſet parallela ex eo angulo, & </s>
            <s xml:id="echoid-s11403" xml:space="preserve">recti-
              <lb/>
            lineo abſciſſo conſtruendum æquale quadratum, & </s>
            <s xml:id="echoid-s11404" xml:space="preserve">reliqua perficienda, vt
              <lb/>
            prius.</s>
            <s xml:id="echoid-s11405" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s11406" xml:space="preserve">
              <emph style="sc">Deniqve</emph>
            ſi aliquando deprehenderetur, rectilineum abſciſſum non eſſe
              <lb/>
            multo minus quadrato, conſtituendum eſſet, vt Num. </s>
            <s xml:id="echoid-s11407" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11408" xml:space="preserve">docuimus, ſuper paral-
              <lb/>
            lelam illam trapezium æquale rectangulo, quo quadratum KM, rectilineum ab-
              <lb/>
            ſciſſum ſuperat.</s>
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