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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        </div>
        <div xml:id="echoid-div1024" type="section" level="1" n="254">
          <head xml:id="echoid-head263" xml:space="preserve">DE HOROLOGIIS, QVAE A VER-
            <lb/>
          ticali circulo declinant.
            <lb/>
          PROBLEMA 1. PROPOSITIO 1.</head>
          <p>
            <s xml:id="echoid-s19902" xml:space="preserve">HOROLOGIVM Aſtronomicum à Verticali circulo decli-
              <lb/>
            nans, hoc eſt, Lineas horarum à meridie, vel media nocte in plano,
              <lb/>
              <note position="left" xlink:label="note-0310-01" xlink:href="note-0310-01a" xml:space="preserve">10</note>
            quod circulo cuipiam maximo ęquidiſtat, qui à Verticali circulo pro-
              <lb/>
            prie dicto declinat, & </s>
            <s xml:id="echoid-s19903" xml:space="preserve">ad Horizontem rectus eſt, deſcribere.</s>
            <s xml:id="echoid-s19904" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19905" xml:space="preserve">IN plano aliquo ducantur duæ rectæ A B, C D, ſeſe ad angulos rectos ſecantes in
              <lb/>
              <note position="left" xlink:label="note-0310-02" xlink:href="note-0310-02a" xml:space="preserve">Conſtructio ho
                <lb/>
              rologii Aſtrono
                <lb/>
              mici à Vertica-
                <lb/>
              li declinantis.</note>
            E. </s>
            <s xml:id="echoid-s19906" xml:space="preserve">Deinde ad rectam C D, in puncto E, conſtituatur angulus declinationis plani,
              <lb/>
            in quo horologium ponendum eſt, quæ qua ratione inquiratur, demonſtrauimus
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s19907" xml:space="preserve">23. </s>
            <s xml:id="echoid-s19908" xml:space="preserve">primi libri. </s>
            <s xml:id="echoid-s19909" xml:space="preserve">Hoc autem ordine conſtituendus erit hic angulus. </s>
            <s xml:id="echoid-s19910" xml:space="preserve">Si pla-
              <lb/>
            num declinat à meridie, conſtituendus erit angulus declinationis infra rectam
              <lb/>
            A B, verſus quidem punctum A, ſi in ortum vergit, ſi verò in occaſum, verſus B.
              <lb/>
            </s>
            <s xml:id="echoid-s19911" xml:space="preserve">Si autem planum à ſeptentrione declinat, erit angulus conſtituendus ſupra rectam A B, verſus
              <lb/>
              <note position="left" xlink:label="note-0310-03" xlink:href="note-0310-03a" xml:space="preserve">Horologiam,
                <lb/>
              quod deſcribi-
                <lb/>
              t
                <unsure/>
              ur, declinat à
                <lb/>
              meridie in or-
                <lb/>
              c
                <unsure/>
              um grad. 30.</note>
              <note position="left" xlink:label="note-0310-04" xlink:href="note-0310-04a" xml:space="preserve">20</note>
            quidem B, ſi in ortum vergit, ſi verò in occaſum, verſus A. </s>
            <s xml:id="echoid-s19912" xml:space="preserve">In propoſito exemplo ponimus planũ
              <lb/>
              <figure xlink:label="fig-0310-01" xlink:href="fig-0310-01a" number="214">
                <image file="0310-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0310-01"/>
              </figure>
              <note position="left" xlink:label="note-0310-05" xlink:href="note-0310-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0310-06" xlink:href="note-0310-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0310-07" xlink:href="note-0310-07a" xml:space="preserve">50</note>
            declinare à meridie in ortum grad. </s>
            <s xml:id="echoid-s19913" xml:space="preserve">30. </s>
            <s xml:id="echoid-s19914" xml:space="preserve">idcirco angulus declinationis D E F, conſtitutus eſt infra
              <lb/>
            rectam A B, verſus A; </s>
            <s xml:id="echoid-s19915" xml:space="preserve">qui quidem angulus facile conſtituetur, ſi ex E, arcus circuli deſcribatur,
              <lb/>
            in eoq́ue declinatio ſupputetur à recta C D. </s>
            <s xml:id="echoid-s19916" xml:space="preserve">Nam E F, recta ex E, per finem ſupputationis educta
              <lb/>
              <note position="left" xlink:label="note-0310-08" xlink:href="note-0310-08a" xml:space="preserve">Linea declina-
                <lb/>
              tionis quæ ſit
                <lb/>
              in horologio de
                <lb/>
              cli nante.</note>
            conſtituet angulum declinationis in puncto E. </s>
            <s xml:id="echoid-s19917" xml:space="preserve">Atque recta E F, dici poteſt linea declinationis.</s>
            <s xml:id="echoid-s19918" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19919" xml:space="preserve">POST hæc in recta A B, ſumpto puncto quocunque β, ſiue ad dextram ipſius E, ſiue ad </s>
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