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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              <pb o="236" file="0254" n="254" rhead="GNOMONICES"/>
            gio Boreali, quia à ſtylo remouetur verſus ortum, vmbra ſtyli proijcitur, dum Sol eſt in ſemicirculo oc-
              <lb/>
            cidentali ſupra Horizontem, quocirca eadem illa hora ab occaſu Solis erit numeranda. </s>
            <s xml:id="echoid-s16007" xml:space="preserve">Eadem{q́ue} eſt ratio
              <lb/>
            de cæteris lineis horarijs. </s>
            <s xml:id="echoid-s16008" xml:space="preserve">Itaque horę iſte
              <unsure/>
            23. </s>
            <s xml:id="echoid-s16009" xml:space="preserve">22. </s>
            <s xml:id="echoid-s16010" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16011" xml:space="preserve">10. </s>
            <s xml:id="echoid-s16012" xml:space="preserve">11. </s>
            <s xml:id="echoid-s16013" xml:space="preserve">ab ortu, hę verò 1. </s>
            <s xml:id="echoid-s16014" xml:space="preserve">2. </s>
            <s xml:id="echoid-s16015" xml:space="preserve">13. </s>
            <s xml:id="echoid-s16016" xml:space="preserve">14. </s>
            <s xml:id="echoid-s16017" xml:space="preserve">15. </s>
            <s xml:id="echoid-s16018" xml:space="preserve">ab oc-
              <lb/>
            caſu numerandæ ſunt, vt dictum eſt. </s>
            <s xml:id="echoid-s16019" xml:space="preserve">Quod in aliis quoque horologiis intelligi volumus, etiam inclinatis
              <lb/>
            ad Horizontem, ſumendo inferiora horologia pro Borealibus, vt ſuis locis monebimus.</s>
            <s xml:id="echoid-s16020" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s16021" xml:space="preserve">EX horologio Verticali à nobis deſcripto perſpicuum eſt, Federicum Commandinum in ſuo libro de
              <lb/>
              <note position="left" xlink:label="note-0254-01" xlink:href="note-0254-01a" xml:space="preserve">Federic
                <unsure/>
              us Com
                <lb/>
              mandinus non
                <lb/>
              rectè ducit hor.
                <lb/>
              10. & 11. ab occ.
                <lb/>
              in horologio
                <lb/>
              Boreali Italico.</note>
            horologiorum deſcriptione hallucinatum fuiſſe in lineis horarum 10. </s>
            <s xml:id="echoid-s16022" xml:space="preserve">& </s>
            <s xml:id="echoid-s16023" xml:space="preserve">11. </s>
            <s xml:id="echoid-s16024" xml:space="preserve">horologij Verticalis Itali-
              <lb/>
            ci Septentrionalis. </s>
            <s xml:id="echoid-s16025" xml:space="preserve">Tribuit enim illis eundem prorſus ſitum, quem habent lineæ horarũ 23. </s>
            <s xml:id="echoid-s16026" xml:space="preserve">& </s>
            <s xml:id="echoid-s16027" xml:space="preserve">22. </s>
            <s xml:id="echoid-s16028" xml:space="preserve">quod
              <lb/>
            fieri non poteſt, vt ex noſtra conſtructione conſtat.</s>
            <s xml:id="echoid-s16029" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">10</note>
        </div>
        <div xml:id="echoid-div815" type="section" level="1" n="194">
          <head xml:id="echoid-head197" xml:space="preserve">PROBLEMA 24. PROPOSITIO 24.</head>
          <p>
            <s xml:id="echoid-s16030" xml:space="preserve">HOROLOGIVM Antiquum Verticale conſtituere.</s>
            <s xml:id="echoid-s16031" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16032" xml:space="preserve">CIRCVLO M a N b, diuiſo, vt in propoſ. </s>
            <s xml:id="echoid-s16033" xml:space="preserve">10. </s>
            <s xml:id="echoid-s16034" xml:space="preserve">& </s>
            <s xml:id="echoid-s16035" xml:space="preserve">22. </s>
            <s xml:id="echoid-s16036" xml:space="preserve">huius libri factum eſt, in arcum diur-
              <lb/>
              <note position="left" xlink:label="note-0254-03" xlink:href="note-0254-03a" xml:space="preserve">Deſctiptio ho-
                <lb/>
              rologii Antiqui
                <lb/>
              @etticalis.</note>
            num, & </s>
            <s xml:id="echoid-s16037" xml:space="preserve">nocturnum tropicorum ♋, & </s>
            <s xml:id="echoid-s16038" xml:space="preserve">♑; </s>
            <s xml:id="echoid-s16039" xml:space="preserve">arcus diurnus tam tropici ♋, a N b, quàm tropici ♑,
              <lb/>
              <figure xlink:label="fig-0254-01" xlink:href="fig-0254-01a" number="177">
                <image file="0254-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0254-01"/>
              </figure>
              <note position="left" xlink:label="note-0254-04" xlink:href="note-0254-04a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0254-05" xlink:href="note-0254-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0254-06" xlink:href="note-0254-06a" xml:space="preserve">40</note>
            d N e, ſecetur in partes 12. </s>
            <s xml:id="echoid-s16040" xml:space="preserve">æquales, initio facto à punctis a, & </s>
            <s xml:id="echoid-s16041" xml:space="preserve">d, quæ orientalia ſunt, vt patet, ſi
              <lb/>
            horologium, & </s>
            <s xml:id="echoid-s16042" xml:space="preserve">circulus dictus propriam poſitionem habeant. </s>
            <s xml:id="echoid-s16043" xml:space="preserve">Ex punctis enim diuiſionum inue-
              <lb/>
            niemus puncta horarum inæqualium in vtroque tropico, horologiumq́; </s>
            <s xml:id="echoid-s16044" xml:space="preserve">Antiquum abſoluemus,
              <lb/>
            vt propoſ. </s>
            <s xml:id="echoid-s16045" xml:space="preserve">12. </s>
            <s xml:id="echoid-s16046" xml:space="preserve">huius libri tradidimus. </s>
            <s xml:id="echoid-s16047" xml:space="preserve">Vt exempli gratia, in auſtrali horologio linea recta ex f, pun-
              <lb/>
            cto horæ 4. </s>
            <s xml:id="echoid-s16048" xml:space="preserve">inæqualis tropici ♋, per E, ducta ſecat lineam æquinoctialem in g; </s>
            <s xml:id="echoid-s16049" xml:space="preserve">Recta verò ex H,
              <lb/>
            per g, ducta ſecat tropicum ♋, in h, puncto horæ 4. </s>
            <s xml:id="echoid-s16050" xml:space="preserve">inæqualis. </s>
            <s xml:id="echoid-s16051" xml:space="preserve">Sic etiam recta ex m, puncto ho-
              <lb/>
            ræ 4. </s>
            <s xml:id="echoid-s16052" xml:space="preserve">inæqualis tropici ♑, per E, ducta ſecat æquinoctialem lineam in n; </s>
            <s xml:id="echoid-s16053" xml:space="preserve">& </s>
            <s xml:id="echoid-s16054" xml:space="preserve">recta H n, tropicum
              <lb/>
            ♑, ſecat in p, puncto horæ 4. </s>
            <s xml:id="echoid-s16055" xml:space="preserve">inæqualis, &</s>
            <s xml:id="echoid-s16056" xml:space="preserve">c. </s>
            <s xml:id="echoid-s16057" xml:space="preserve">vt ex demonſtratis propoſ. </s>
            <s xml:id="echoid-s16058" xml:space="preserve">12. </s>
            <s xml:id="echoid-s16059" xml:space="preserve">huius libri liquet. </s>
            <s xml:id="echoid-s16060" xml:space="preserve">Ea-
              <lb/>
            demq́ue ratio de cæteris habenda eſt. </s>
            <s xml:id="echoid-s16061" xml:space="preserve">Pro horologio boreali exemplum non ponimus, tum quia
              <lb/>
            ex dictis in propoſ. </s>
            <s xml:id="echoid-s16062" xml:space="preserve">22. </s>
            <s xml:id="echoid-s16063" xml:space="preserve">huius libri facile deſcribetur, tum etiam, quia ſatius eſt, illud ex auftrali de-
              <lb/>
              <note position="left" xlink:label="note-0254-07" xlink:href="note-0254-07a" xml:space="preserve">50</note>
            riuare, vt in ſequenti ſcholio mox docebimus.</s>
            <s xml:id="echoid-s16064" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16065" xml:space="preserve">QVOD ſi deſcribatur arcus diurnus horarum 6. </s>
            <s xml:id="echoid-s16066" xml:space="preserve">qui in horologio boreali erit horarum 18.
              <lb/>
            </s>
            <s xml:id="echoid-s16067" xml:space="preserve">
              <note position="left" xlink:label="note-0254-08" xlink:href="note-0254-08a" xml:space="preserve">Alia deſcriptio
                <lb/>
              horologii Anti
                <lb/>
              qui Verticalis,
                <lb/>
              ex arcubus diur
                <lb/>
              nis, nocturnis-
                <lb/>
              que.</note>
            conficiemus idem horologium, vt de horizontali dictum eſt propoſ. </s>
            <s xml:id="echoid-s16068" xml:space="preserve">12. </s>
            <s xml:id="echoid-s16069" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s16070" xml:space="preserve">Nam hora
              <lb/>
            1. </s>
            <s xml:id="echoid-s16071" xml:space="preserve">inæqualis in auſtrali horologio ducitur per horam 9 {1/2}. </s>
            <s xml:id="echoid-s16072" xml:space="preserve">à media nocte in arcu diurno horarum
              <lb/>
            6. </s>
            <s xml:id="echoid-s16073" xml:space="preserve">& </s>
            <s xml:id="echoid-s16074" xml:space="preserve">per horam 7. </s>
            <s xml:id="echoid-s16075" xml:space="preserve">à media nocte in arcu diurno horarum 12. </s>
            <s xml:id="echoid-s16076" xml:space="preserve">Item per horam 4 {1/2}. </s>
            <s xml:id="echoid-s16077" xml:space="preserve">à meridie in
              <lb/>
            arcu nocturno horarum 18. </s>
            <s xml:id="echoid-s16078" xml:space="preserve">vt tabulæ in ſcholio propoſ. </s>
            <s xml:id="echoid-s16079" xml:space="preserve">33. </s>
            <s xml:id="echoid-s16080" xml:space="preserve">præcedentis libri poſitæ indicant; </s>
            <s xml:id="echoid-s16081" xml:space="preserve">& </s>
            <s xml:id="echoid-s16082" xml:space="preserve">
              <lb/>
            ſic de cæteris. </s>
            <s xml:id="echoid-s16083" xml:space="preserve">In boreali verò horologio tranſit eadem hora 1. </s>
            <s xml:id="echoid-s16084" xml:space="preserve">inæqualis per horam 4 {1/2}. </s>
            <s xml:id="echoid-s16085" xml:space="preserve">à media
              <lb/>
            nocte in arcu diurno horarum 18. </s>
            <s xml:id="echoid-s16086" xml:space="preserve">& </s>
            <s xml:id="echoid-s16087" xml:space="preserve">per horam 9 {1/2}. </s>
            <s xml:id="echoid-s16088" xml:space="preserve">à meridie in arcu nocturno horarum 6. </s>
            <s xml:id="echoid-s16089" xml:space="preserve">Item
              <lb/>
            per horam 7. </s>
            <s xml:id="echoid-s16090" xml:space="preserve">à meridie in arcu nocturno horarum 12. </s>
            <s xml:id="echoid-s16091" xml:space="preserve">vt eædem tabulæ docent, &</s>
            <s xml:id="echoid-s16092" xml:space="preserve">c. </s>
            <s xml:id="echoid-s16093" xml:space="preserve">Horologium
              <lb/>
            igitur Antiquum Verticale conſtuimus. </s>
            <s xml:id="echoid-s16094" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s16095" xml:space="preserve"/>
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