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 xml:id="echoid-div1188" type="section" level="1" n="287">
          <pb o="351" file="0367" n="367" rhead="LIBER TERTIVS."/>
        </div>
        <div xml:id="echoid-div1191" type="section" level="1" n="288">
          <head xml:id="echoid-head298" xml:space="preserve">PROBLEMA 22. PROPOSITIO 22.</head>
          <p>
            <s xml:id="echoid-s23348" xml:space="preserve">HOROLOGIVM Italicum declinans ab Horizonte com-
              <lb/>
            ponere.</s>
            <s xml:id="echoid-s23349" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s23350" xml:space="preserve">SI circulus ex L, deſcriptus ſecetur in arcum diurnum paralleli ♋, a Nb, & </s>
            <s xml:id="echoid-s23351" xml:space="preserve">arcum diurnum
              <lb/>
              <note position="right" xlink:label="note-0367-01" xlink:href="note-0367-01a" xml:space="preserve">Conſt ructio ho
                <lb/>
              rologii Italici
                <lb/>
              ab Horizonte
                <lb/>
              declinantis.</note>
            paralleli ♑, d N e, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s23352" xml:space="preserve">1. </s>
            <s xml:id="echoid-s23353" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s23354" xml:space="preserve">1. </s>
            <s xml:id="echoid-s23355" xml:space="preserve">tradidimus, ita vt rectæ a b, d e, rectam L M, quæ
              <lb/>
            communis ſectio eſt Meridiani, & </s>
            <s xml:id="echoid-s23356" xml:space="preserve">Aequatoris, ſecent ad angulos rectos, deſcribemus horas ab
              <lb/>
              <note position="left" xlink:label="note-0367-02" xlink:href="note-0367-02a" xml:space="preserve">10</note>
              <figure xlink:label="fig-0367-01" xlink:href="fig-0367-01a" number="244">
                <image file="0367-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0367-01"/>
              </figure>
              <note position="left" xlink:label="note-0367-03" xlink:href="note-0367-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0367-04" xlink:href="note-0367-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0367-05" xlink:href="note-0367-05a" xml:space="preserve">40</note>
            occaſu in hoc horologio, quemadmodum in horologio declinante à Verticali propoſ. </s>
            <s xml:id="echoid-s23357" xml:space="preserve">10. </s>
            <s xml:id="echoid-s23358" xml:space="preserve">huius
              <lb/>
            libri factum eſt. </s>
            <s xml:id="echoid-s23359" xml:space="preserve">Exemplum habes in hora 21. </s>
            <s xml:id="echoid-s23360" xml:space="preserve">ab occaſu. </s>
            <s xml:id="echoid-s23361" xml:space="preserve">Nam recta ex m, puncto horæ 21. </s>
            <s xml:id="echoid-s23362" xml:space="preserve">tro
              <lb/>
            pici ♑, ducta per L, ſecat æquinoctialem lineam in n; </s>
            <s xml:id="echoid-s23363" xml:space="preserve">recta autem ex C, per n, ducta ſecat tropicũ
              <lb/>
            ♑, in p, puncto horæ 21. </s>
            <s xml:id="echoid-s23364" xml:space="preserve">&</s>
            <s xml:id="echoid-s23365" xml:space="preserve">c.</s>
            <s xml:id="echoid-s23366" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s23367" xml:space="preserve">SIC etiam ex arcubus diurnis horarum 14. </s>
            <s xml:id="echoid-s23368" xml:space="preserve">& </s>
            <s xml:id="echoid-s23369" xml:space="preserve">10. </s>
            <s xml:id="echoid-s23370" xml:space="preserve">& </s>
            <s xml:id="echoid-s23371" xml:space="preserve">nocturnis horarum 10. </s>
            <s xml:id="echoid-s23372" xml:space="preserve">& </s>
            <s xml:id="echoid-s23373" xml:space="preserve">14. </s>
            <s xml:id="echoid-s23374" xml:space="preserve">eaſdem
              <lb/>
              <note position="left" xlink:label="note-0367-06" xlink:href="note-0367-06a" xml:space="preserve">50</note>
              <note position="right" xlink:label="note-0367-07" xlink:href="note-0367-07a" xml:space="preserve">Deſcriptio e
                <unsure/>
              iuſ
                <lb/>
              dem horologi@
                <lb/>
              Italici ab Hori
                <lb/>
              zon te declinan
                <lb/>
              tis per arcus
                <lb/>
              diurnos, n@-
                <lb/>
              cturnosq́ue.</note>
            horas in hoc horologio, vt in præcedentibus, delineabimus, ſi tamen, cum hora aliqua ab occaſu
              <lb/>
            non habet punctũ in arcubus diurnis, accipiatur eiuſdem numeri hora ab ortu, &</s>
            <s xml:id="echoid-s23375" xml:space="preserve">c. </s>
            <s xml:id="echoid-s23376" xml:space="preserve">Exempli gra-
              <lb/>
            tia, quia hora 12. </s>
            <s xml:id="echoid-s23377" xml:space="preserve">ab occaſu in arcu diurno horarum 14. </s>
            <s xml:id="echoid-s23378" xml:space="preserve">nullum habet punctum ex tabula tertia
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s23379" xml:space="preserve">33. </s>
            <s xml:id="echoid-s23380" xml:space="preserve">primi libri, accipiemus horam 12. </s>
            <s xml:id="echoid-s23381" xml:space="preserve">ab ortu, eamq́ue ſecundum tabulam tertiam dictæ
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s23382" xml:space="preserve">ducemus per horam 5. </s>
            <s xml:id="echoid-s23383" xml:space="preserve">à meridie in arcu diurno horarum 14. </s>
            <s xml:id="echoid-s23384" xml:space="preserve">& </s>
            <s xml:id="echoid-s23385" xml:space="preserve">ſecundum tabulam ſex-
              <lb/>
            tam per horam 6. </s>
            <s xml:id="echoid-s23386" xml:space="preserve">à meridie in arcu nocturno horarum 12. </s>
            <s xml:id="echoid-s23387" xml:space="preserve">Hæc enim producta vltra lineam me-
              <lb/>
            ridianam, hoc eſt, vltra parallelum omnium ſemper apparentium maximum, qui horam 12. </s>
            <s xml:id="echoid-s23388" xml:space="preserve">ab
              <lb/>
            ortu, vel occaſu in linea meridiana tangit, dabit horam 12. </s>
            <s xml:id="echoid-s23389" xml:space="preserve">ab occaſu, vt ſupra oſtendimus. </s>
            <s xml:id="echoid-s23390" xml:space="preserve">Eodern
              <lb/>
            modo pro hora 13. </s>
            <s xml:id="echoid-s23391" xml:space="preserve">ab occaſu duximus horam 13. </s>
            <s xml:id="echoid-s23392" xml:space="preserve">ab ortu per horam 6. </s>
            <s xml:id="echoid-s23393" xml:space="preserve">à meridie in arcu diurno
              <lb/>
            horarum 14. </s>
            <s xml:id="echoid-s23394" xml:space="preserve">& </s>
            <s xml:id="echoid-s23395" xml:space="preserve">per horam 7. </s>
            <s xml:id="echoid-s23396" xml:space="preserve">à meridie in arcu nocturno horarum 12. </s>
            <s xml:id="echoid-s23397" xml:space="preserve">Ita etiam pro hora 14. </s>
            <s xml:id="echoid-s23398" xml:space="preserve">ab
              <lb/>
            @ccaſu, quæ v@icum punctum habet, nempe horam 9. </s>
            <s xml:id="echoid-s23399" xml:space="preserve">à media nocte, in arcu diurno horarum 14.</s>
            <s xml:id="echoid-s23400" xml:space="preserve"/>
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