Clavius, Christoph, Geometria practica

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            <s xml:id="echoid-s17762" xml:space="preserve">
              <pb o="376" file="404" n="404" rhead="GEOMETR. PRACT"/>
            riam, & </s>
            <s xml:id="echoid-s17763" xml:space="preserve">ad rectos angulos ſecent in E. </s>
            <s xml:id="echoid-s17764" xml:space="preserve">Ex latitu dine CD, abſcindatur recta DF@
              <lb/>
              <figure xlink:label="fig-404-01" xlink:href="fig-404-01a" number="293">
                <image file="404-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/404-01"/>
              </figure>
            quantacunoue vltra E, maior tamen interual-
              <lb/>
            lo inter punctum F, & </s>
            <s xml:id="echoid-s17765" xml:space="preserve">A, extremum longitu-
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            dinis. </s>
            <s xml:id="echoid-s17766" xml:space="preserve">Hoc enim niſi fiat, deſcribi non pote-
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            rit figura ouata. </s>
            <s xml:id="echoid-s17767" xml:space="preserve">Deinde centro F, & </s>
            <s xml:id="echoid-s17768" xml:space="preserve">interual-
              <lb/>
            lo FD, deſcribatur circulus DG, quineceſſa-
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            rio vltra punctum A, tranſibit, quippe cum ſe-
              <lb/>
            midiameter F D, maior poſita ſit interuallo
              <lb/>
            F A. </s>
            <s xml:id="echoid-s17769" xml:space="preserve">Ducta autem FG, longitudini AB, paral-
              <lb/>
            lela ſecante circulum deſcriptum in G; </s>
            <s xml:id="echoid-s17770" xml:space="preserve">duca-
              <lb/>
            tur ex G, per A, recta ſecans eundem circulum
              <lb/>
            in H, puncto, è quo ducatur HIK, latitudini
              <lb/>
            CD, parallela, iungatur que HF, ſecans AB,
              <lb/>
            longitudin emin L; </s>
            <s xml:id="echoid-s17771" xml:space="preserve">eruntque FG, FH, æqua-
              <lb/>
              <note symbol="a" position="left" xlink:label="note-404-01" xlink:href="note-404-01a" xml:space="preserve">coroll. 4.
                <lb/>
              ſexti.</note>
            les è centro F, ad circumferentiam. </s>
            <s xml:id="echoid-s17772" xml:space="preserve"> Et quia triangula H G F, H A L, ſimilia ſunt; </s>
            <s xml:id="echoid-s17773" xml:space="preserve"> erit
              <note symbol="b" position="left" xlink:label="note-404-02" xlink:href="note-404-02a" xml:space="preserve">4. ſexti.</note>
            GF, ad FH, ita AL, ad LH. </s>
            <s xml:id="echoid-s17774" xml:space="preserve">Cum ergo GF, i-
              <lb/>
            pſi FH. </s>
            <s xml:id="echoid-s17775" xml:space="preserve">ſit æqualis; </s>
            <s xml:id="echoid-s17776" xml:space="preserve">erit quoque AL, ipſi LH, æqualis. </s>
            <s xml:id="echoid-s17777" xml:space="preserve">Circulus ergo AH, ex L,
              <lb/>
              <note symbol="c" position="left" xlink:label="note-404-03" xlink:href="note-404-03a" xml:space="preserve">ſchol. 13.
                <lb/>
              tertij.</note>
            per A, deſcriptus tranſibit per H, ibique priorem circulum D, G, tanget. </s>
            <s xml:id="echoid-s17778" xml:space="preserve">Si igitur capiatur EO, æqualis ipſi EI, & </s>
            <s xml:id="echoid-s17779" xml:space="preserve">EM, ipſi EL, ducatur que POQ, per O, re-
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            ctæ CD, parallela, atque ex M, centro, interuallo autem LH, vel MP, circulus
              <lb/>
            PBQ, deſcribatur, tanget hic quo que priorem circulum in P. </s>
            <s xml:id="echoid-s17780" xml:space="preserve">Si denique ſum-
              <lb/>
            pta EN, ipſi EF, æquali, deſcribatur ex N, ad interuallum FD, prioris circuli cir-
              <lb/>
            culus KCQ tanget hic circulos HAK, PBQ, in K, Q, perfecta que erit figura
              <lb/>
            ouata.</s>
            <s xml:id="echoid-s17781" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17782" xml:space="preserve">
              <emph style="sc">Sed</emph>
            quia, vt dictum eſt, conſtat que ex deſcrip tione, niſi latitudo CD, tanta
              <lb/>
            ſit, vt ex ea abſcindi poſsit recta DF, maior interuallo FA, figura hac ratione de-
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            ſcribinequit: </s>
            <s xml:id="echoid-s17783" xml:space="preserve">adeo vt longitudo, ac latitudo ad libitum aſſumi non poſsint; </s>
            <s xml:id="echoid-s17784" xml:space="preserve">in-
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            ſtituetur operatio alio modo, ſumpta quacun que longitudine AB, & </s>
            <s xml:id="echoid-s17785" xml:space="preserve">latitudi-
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            ne CD. </s>
            <s xml:id="echoid-s17786" xml:space="preserve">Secent ſe in prima figura longitudo, latitudo que FI, LM, datæ mutuo
              <lb/>
            bifariam in N, & </s>
            <s xml:id="echoid-s17787" xml:space="preserve">ad angulos rectos, & </s>
            <s xml:id="echoid-s17788" xml:space="preserve">ſumantur rectæ FA, IC, æquales, & </s>
            <s xml:id="echoid-s17789" xml:space="preserve">mi-
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            nores ſemiſſe latitudinis LN; </s>
            <s xml:id="echoid-s17790" xml:space="preserve">deſcribantur que ex A, & </s>
            <s xml:id="echoid-s17791" xml:space="preserve">C, per F, & </s>
            <s xml:id="echoid-s17792" xml:space="preserve">I, circelli E-
              <lb/>
            FG, HIK, Sumpta deinde MO, ſemidiametro AF, æquali, iungatur OA, ex O,
              <lb/>
            ad centrum A, quam bifariam, & </s>
            <s xml:id="echoid-s17793" xml:space="preserve">adangulos recto sin P, ſecet recta PB, ſecans
              <lb/>
            LM, etiam pro ductum, ſi opus eſt, in B, ducatur que BA, vſque ad circulum G-
              <lb/>
            FE. </s>
            <s xml:id="echoid-s17794" xml:space="preserve">Et quoniam duo latera OP, PB, duobus lateribus AP, PB, æqualia ſunt, an-
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              <note symbol="d" position="left" xlink:label="note-404-04" xlink:href="note-404-04a" xml:space="preserve">4. primi.</note>
            guloſque continent rectos, id eſt, æquales: </s>
            <s xml:id="echoid-s17795" xml:space="preserve"> erunt baſes OB, AB, æquales; </s>
            <s xml:id="echoid-s17796" xml:space="preserve">ad- ditiſque æqualibus OM, AE, (ſumpta nam que fuit MO, æqualis ſemidiametro
              <lb/>
            FA, vel IC,) totæ BE, BM, æquales erunt. </s>
            <s xml:id="echoid-s17797" xml:space="preserve">Deſcriptus ergo circulus ex B, per M,
              <lb/>
              <note symbol="e" position="left" xlink:label="note-404-05" xlink:href="note-404-05a" xml:space="preserve">ſchol. 13.
                <lb/>
              tertij.</note>
            tranſibit per E, ibique circellum GFE, tanget. </s>
            <s xml:id="echoid-s17798" xml:space="preserve">Eodem que modo circellum H- IK, tanget. </s>
            <s xml:id="echoid-s17799" xml:space="preserve">Siigitur ſumpta ND, ipſi NB, æquali, deſcribatur ex D, per L, circulus
              <lb/>
            tangens eoſdem priores circellos in G, H, abſoluta erit figura.</s>
            <s xml:id="echoid-s17800" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div1119" type="section" level="1" n="405">
          <head xml:id="echoid-head432" xml:space="preserve">SCHOLIVM.</head>
          <p>
            <s xml:id="echoid-s17801" xml:space="preserve">
              <emph style="sc">Qvo</emph>
            autem ſemidiameter FA, ſumpta fuerit minor, quam MN, co certius
              <lb/>
            centrum B, reperietur vt liquet,</s>
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