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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          <p>
            <s xml:id="echoid-s19472" xml:space="preserve">
              <pb o="288" file="0304" n="304" rhead="GNOMONICES"/>
            tentium maximus. </s>
            <s xml:id="echoid-s19473" xml:space="preserve">Cum enim hic arcus circulus ſit, ex coroll. </s>
            <s xml:id="echoid-s19474" xml:space="preserve">propoſ, 4. </s>
            <s xml:id="echoid-s19475" xml:space="preserve">ſuperioris libri, & </s>
            <s xml:id="echoid-s19476" xml:space="preserve">eum
              <lb/>
            per propoſ. </s>
            <s xml:id="echoid-s19477" xml:space="preserve">14. </s>
            <s xml:id="echoid-s19478" xml:space="preserve">eiuſdem libri tangant horæ ab ortu, vel occaſu in punctis, in quibus eundem horę
              <lb/>
            à meridie, vel media nocte ſecant, manifeſtum eſt, lineas dictum circulum tangentes in punctis
              <lb/>
              <figure xlink:label="fig-0304-01" xlink:href="fig-0304-01a" number="210">
                <image file="0304-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0304-01"/>
              </figure>
              <note position="left" xlink:label="note-0304-01" xlink:href="note-0304-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0304-02" xlink:href="note-0304-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0304-03" xlink:href="note-0304-03a" xml:space="preserve">30</note>
            horarum à meridie, vel media nocte, hoc eſt, perpendiculares ad lineas horarum à meridie, vel
              <lb/>
            media nocte in punctis, vbi prædictum circulum ſecant, monſtrare horas ab occaſu. </s>
            <s xml:id="echoid-s19479" xml:space="preserve">Quæ autem
              <lb/>
            horæ ab occaſu quibus horis à meridie, vel media nocte reſpondeant in dicto arcu horarum 24.
              <lb/>
            </s>
            <s xml:id="echoid-s19480" xml:space="preserve">docebit tabula ſeptima ſcholii propoſ. </s>
            <s xml:id="echoid-s19481" xml:space="preserve">33. </s>
            <s xml:id="echoid-s19482" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s19483" xml:space="preserve">pro horologio ſuperiori; </s>
            <s xml:id="echoid-s19484" xml:space="preserve">pro inferiori
              <lb/>
            autem idem præſtabit tabula octaua eiuſdem ſcholii. </s>
            <s xml:id="echoid-s19485" xml:space="preserve">Tranſibunt autem neceſſario hæ lineæ tan-
              <lb/>
            gentes per horas à meridie, vel media nocte in arcu diurno horarum 14. </s>
            <s xml:id="echoid-s19486" xml:space="preserve">& </s>
            <s xml:id="echoid-s19487" xml:space="preserve">nocturno horarum 10. </s>
            <s xml:id="echoid-s19488" xml:space="preserve">
              <lb/>
            Ita cernis horam 23. </s>
            <s xml:id="echoid-s19489" xml:space="preserve">ab occaſu tangere arcum diurnum horarum 24. </s>
            <s xml:id="echoid-s19490" xml:space="preserve">in hora 11. </s>
            <s xml:id="echoid-s19491" xml:space="preserve">à meridie, & </s>
            <s xml:id="echoid-s19492" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0304-04" xlink:href="note-0304-04a" xml:space="preserve">Cõmodiſſima
                <lb/>
              deſcriptio eiuſ
                <lb/>
              dem horologii
                <lb/>
              Italici per arcũ
                <lb/>
              diurnũ horatũ
                <lb/>
              24. vna cũ diur
                <lb/>
              no horarũ 14.
                <lb/>
              & nocturno ho
                <lb/>
              rarum 10.</note>
              <note position="left" xlink:label="note-0304-05" xlink:href="note-0304-05a" xml:space="preserve">40</note>
            tranſire per horam 6. </s>
            <s xml:id="echoid-s19493" xml:space="preserve">à meridie in arcu diurno horarum 14. </s>
            <s xml:id="echoid-s19494" xml:space="preserve">Item horam primam ab occaſu tan-
              <lb/>
            gere priorem arcum in hora 1. </s>
            <s xml:id="echoid-s19495" xml:space="preserve">à media nocte, & </s>
            <s xml:id="echoid-s19496" xml:space="preserve">incedere per horam 8. </s>
            <s xml:id="echoid-s19497" xml:space="preserve">à meridie, in arcu noctur-
              <lb/>
            no horarum 10. </s>
            <s xml:id="echoid-s19498" xml:space="preserve">&</s>
            <s xml:id="echoid-s19499" xml:space="preserve">c. </s>
            <s xml:id="echoid-s19500" xml:space="preserve">Itaque commodiſſime hora quæcunque ab occaſu deſcribetur in ſuperiori
              <lb/>
            quidem horologio ex duobus arcubus, quorum vnus ſit diurnus horarum 24. </s>
            <s xml:id="echoid-s19501" xml:space="preserve">& </s>
            <s xml:id="echoid-s19502" xml:space="preserve">alter diurnus ho
              <lb/>
            rarum 14. </s>
            <s xml:id="echoid-s19503" xml:space="preserve">vel nocturnus horarum 10. </s>
            <s xml:id="echoid-s19504" xml:space="preserve">In inferiori autem ex duobus, quorum vnus nocturnus ſit
              <lb/>
            horarum 24. </s>
            <s xml:id="echoid-s19505" xml:space="preserve">& </s>
            <s xml:id="echoid-s19506" xml:space="preserve">alter diurnus horarum 10. </s>
            <s xml:id="echoid-s19507" xml:space="preserve">vel nocturnus horarum 14.</s>
            <s xml:id="echoid-s19508" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19509" xml:space="preserve">IDEM horologium Italicum conſtruemus per lineam horæ 12. </s>
            <s xml:id="echoid-s19510" xml:space="preserve">ab ortu, vel occaſu, vt ex ta-
              <lb/>
              <note position="left" xlink:label="note-0304-06" xlink:href="note-0304-06a" xml:space="preserve">Gõſtructio eiuſ
                <lb/>
              dem horologii
                <lb/>
              Italici per lineã
                <lb/>
              horæ 12. ab or.
                <lb/>
              vel occ. & per
                <lb/>
              lineam horizõ-
                <lb/>
              talem, ſeu hor
                <unsure/>
                <lb/>
              24. ab or
                <unsure/>
              . vel
                <lb/>
              occ.</note>
            bula ſecunda propoſ. </s>
            <s xml:id="echoid-s19511" xml:space="preserve">20. </s>
            <s xml:id="echoid-s19512" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s19513" xml:space="preserve">comſtat. </s>
            <s xml:id="echoid-s19514" xml:space="preserve">Item per lineam horizontalem, ſeu horæ 24. </s>
            <s xml:id="echoid-s19515" xml:space="preserve">ab
              <lb/>
            ortu, vel occaſu, vt ex tabula prima eiuſdem propoſ. </s>
            <s xml:id="echoid-s19516" xml:space="preserve">20. </s>
            <s xml:id="echoid-s19517" xml:space="preserve">colligitur, vt in ſuperioribus dictum eſt.
              <lb/>
            </s>
            <s xml:id="echoid-s19518" xml:space="preserve">Immo
              <unsure/>
            & </s>
            <s xml:id="echoid-s19519" xml:space="preserve">ex tabula tertia eiuſdem propoſ. </s>
            <s xml:id="echoid-s19520" xml:space="preserve">perſpicuum erit, quænam horæ ab occaſu ſe mutuo ſe-
              <lb/>
              <note position="left" xlink:label="note-0304-07" xlink:href="note-0304-07a" xml:space="preserve">50</note>
            cent in linea horæ 6. </s>
            <s xml:id="echoid-s19521" xml:space="preserve">à meridie, vel media nocte, &</s>
            <s xml:id="echoid-s19522" xml:space="preserve">c. </s>
            <s xml:id="echoid-s19523" xml:space="preserve">Linea autem horæ 12. </s>
            <s xml:id="echoid-s19524" xml:space="preserve">ab ortu, vel occaſu hac
              <lb/>
            ratione duci poterit. </s>
            <s xml:id="echoid-s19525" xml:space="preserve">In linea horæ 6. </s>
            <s xml:id="echoid-s19526" xml:space="preserve">à meridie, vel media nocte ex centro E, abſcindatur recta
              <lb/>
            E A, gnomoni æqualis, & </s>
            <s xml:id="echoid-s19527" xml:space="preserve">centro A, ad quodcunque interuallum circulo deſcripto, ſumatur in eo
              <lb/>
              <note position="left" xlink:label="note-0304-08" xlink:href="note-0304-08a" xml:space="preserve">Linea horæ 12.
                <lb/>
              ab or. vel occ.
                <lb/>
              quomodo in
                <lb/>
              equinoctiali ho
                <lb/>
              rologio ducen-
                <lb/>
              da ſit.</note>
            arcus B C, altitudini poli æqualis, initio facto à linea E B, & </s>
            <s xml:id="echoid-s19528" xml:space="preserve">verſus lineam horizontalem progre-
              <lb/>
            diendo. </s>
            <s xml:id="echoid-s19529" xml:space="preserve">Deinde ex C, per centrum A, linea recta ducatur, ſecans meridianam lineam in D. </s>
            <s xml:id="echoid-s19530" xml:space="preserve">Nam
              <lb/>
            recta lineæ horæ 6. </s>
            <s xml:id="echoid-s19531" xml:space="preserve">à meridie, vel media nocte parallela ducta per D, monſtrabit horam 12. </s>
            <s xml:id="echoid-s19532" xml:space="preserve">ab or
              <lb/>
            tu, vel occaſu. </s>
            <s xml:id="echoid-s19533" xml:space="preserve">Intelligatur enim circulus B C, circa meridianam lineam conuerti, vſque dum cũ
              <lb/>
            Meridiano circulo,
              <unsure/>
            & </s>
            <s xml:id="echoid-s19534" xml:space="preserve">eius centrum A, cum mundi centro, ſeu ſtyli vertice coniungatur. </s>
            <s xml:id="echoid-s19535" xml:space="preserve">Quo po
              <lb/>
            ſito, erit B, polus mundi, & </s>
            <s xml:id="echoid-s19536" xml:space="preserve">C, punctum, vbi circulus horæ 12. </s>
            <s xml:id="echoid-s19537" xml:space="preserve">ab ortu, vel occaſu parallelũ om-
              <lb/>
            nium ſemper apparentium maximum tangit, Meridianumq́ue ſecat, quòd hic parallelus Meridia
              <lb/>
            num ſecet in C. </s>
            <s xml:id="echoid-s19538" xml:space="preserve">Quare recta C A, communis erit ſectio circuli horæ 12. </s>
            <s xml:id="echoid-s19539" xml:space="preserve">ab ortu, vel occaſu, &</s>
            <s xml:id="echoid-s19540" xml:space="preserve"/>
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