Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

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            recta erit, ac proinde &</s>
            <s xml:id="echoid-s24924" xml:space="preserve">, per defin. </s>
            <s xml:id="echoid-s24925" xml:space="preserve">3. </s>
            <s xml:id="echoid-s24926" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s24927" xml:space="preserve">11. </s>
            <s xml:id="echoid-s24928" xml:space="preserve">Eucl. </s>
            <s xml:id="echoid-s24929" xml:space="preserve">ad lineã indicis χ d, in eo plano exiſtentem per-
              <lb/>
            pendicularis erit. </s>
            <s xml:id="echoid-s24930" xml:space="preserve">Quocirca cũ dicta cõmunis ſectio ducenda ſit per punctũ G, vt proximè mõſtra
              <lb/>
            u
              <unsure/>
            imus, erit G H, ducta perpendicularis ad χ d, cõmunis ſectio Aequatoris, & </s>
            <s xml:id="echoid-s24931" xml:space="preserve">plani horologij in-
              <lb/>
              <figure xlink:label="fig-0396-01" xlink:href="fig-0396-01a" number="264">
                <image file="0396-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0396-01"/>
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              <note position="left" xlink:label="note-0396-01" xlink:href="note-0396-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0396-02" xlink:href="note-0396-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0396-03" xlink:href="note-0396-03a" xml:space="preserve">30</note>
            clinati, id eſt, linea æquinoctialis. </s>
            <s xml:id="echoid-s24932" xml:space="preserve">Et quia punctũ I, pro cẽtro mũdi acceptũ eſt, ex quo cadit recta
              <lb/>
            I K, perpendicularis ad planũ horologij inclinati, ex deſin. </s>
            <s xml:id="echoid-s24933" xml:space="preserve">4. </s>
            <s xml:id="echoid-s24934" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s24935" xml:space="preserve">11. </s>
            <s xml:id="echoid-s24936" xml:space="preserve">Eucl. </s>
            <s xml:id="echoid-s24937" xml:space="preserve">propterea quòd perpen
              <lb/>
              <note position="left" xlink:label="note-0396-04" xlink:href="note-0396-04a" xml:space="preserve">40</note>
            dicularis ducta eſt ad lineã indicis χ d, cõmunem ſectionẽ plani horologii, & </s>
            <s xml:id="echoid-s24938" xml:space="preserve">plani G I f d, quod
              <lb/>
            ad illud rectum eſt; </s>
            <s xml:id="echoid-s24939" xml:space="preserve">erit recta I K, longitudo ſtyli, eiusq́ue locus in K, puncto lineę indicis, quia
              <lb/>
            nulla alia linea ad planum horologij recta, præter K I, in centrũ mundi I, cadere poteſt, vt patet.</s>
            <s xml:id="echoid-s24940" xml:space="preserve"/>
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            <s xml:id="echoid-s24941" xml:space="preserve">IAM verò ſi planum circuli ex L, deſcripti intelligatur circumduci circa lineam æquinoctia-
              <lb/>
            lem G H, don ec centrum eius L, cum centro mundi I, coniungatur, (coniungetur autem omni-
              <lb/>
            no cum eo, propterea quòd rectæ G I, G L, æquales inter ſe ſunt, & </s>
            <s xml:id="echoid-s24942" xml:space="preserve">vtraque ad lineam æquino-
              <lb/>
            ctialem perpendicularis eſt, ſi planum G I f d, concipiatur rectum eſſe ad planum horologii) erũt
              <lb/>
            rectæ per centrum L, quod tunc idem eſt, quod centrũ Aequatoris, & </s>
            <s xml:id="echoid-s24943" xml:space="preserve">per diuiſiones circuli emiſ-
              <lb/>
            ſæ, communes ſectiones Aequatoris, & </s>
            <s xml:id="echoid-s24944" xml:space="preserve">circulorum horarum à meridie, vel media nocte, vt in ho
              <lb/>
            rologio horizontali oſtendimus propoſ. </s>
            <s xml:id="echoid-s24945" xml:space="preserve">1. </s>
            <s xml:id="echoid-s24946" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s24947" xml:space="preserve">2. </s>
            <s xml:id="echoid-s24948" xml:space="preserve">In illa enim poſitione circulus dictus idem cen-
              <lb/>
            trum cum Aequatore habens exiſtit in plano Aequatoris. </s>
            <s xml:id="echoid-s24949" xml:space="preserve">Incipit autem diuiſio dicti circuli à re-
              <lb/>
              <note position="left" xlink:label="note-0396-05" xlink:href="note-0396-05a" xml:space="preserve">50</note>
            cta L M, quæ per centrum L, & </s>
            <s xml:id="echoid-s24950" xml:space="preserve">punctum M, vbi linea meridiana, & </s>
            <s xml:id="echoid-s24951" xml:space="preserve">æquinoctialis ſe interſecant,
              <lb/>
            ducta eſt, vel quæ per L, ipſi lineæ meridianæ parallela acta eſt, quando linea meridiana, & </s>
            <s xml:id="echoid-s24952" xml:space="preserve">æqui
              <lb/>
            noctialis ſemutuo non ſecant, ſed parallelæ ſunt; </s>
            <s xml:id="echoid-s24953" xml:space="preserve">quoniam ea linea communis ſectio eſt Aequa-
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            toris, & </s>
            <s xml:id="echoid-s24954" xml:space="preserve">Meridiani, ſeu circuli horæ 12. </s>
            <s xml:id="echoid-s24955" xml:space="preserve">propterea quòd plano horologii occurrit in puncto M,
              <lb/>
            per quod linea meridiana, & </s>
            <s xml:id="echoid-s24956" xml:space="preserve">æquinoctialis incedunt; </s>
            <s xml:id="echoid-s24957" xml:space="preserve">vel certè parallela eſt lineæ meridianæ, vt
              <lb/>
            ratio poſtulat, quando meridiana linea, & </s>
            <s xml:id="echoid-s24958" xml:space="preserve">æquinoctialis ſunt parallelæ, quod quidem fit, cum pla
              <lb/>
            num horologij æquidiſtat circulo maximo, qui Meridianum in eodem puncto ſecat, in quo ab
              <lb/>
            Aequatore ſecatur. </s>
            <s xml:id="echoid-s24959" xml:space="preserve">Nam cum hac ratione planum horologii æquidiſtet communi ſectioni Meri-
              <lb/>
            diani, & </s>
            <s xml:id="echoid-s24960" xml:space="preserve">Aequatoris, cum per illam tranſeat circulus maximus, cui planum horologii æquidiſtat,
              <lb/>
            erit communis ſectio facta à plano horologij in Meridiano, hoc eſt, ipſa linea meridiana, </s>
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