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-div689" type="section" level="1" n="172">
          <pb o="199" file="0219" n="219" rhead="LIBER SECVNDVS."/>
        </div>
        <div xml:id="echoid-div693" type="section" level="1" n="173">
          <head xml:id="echoid-head176" xml:space="preserve">PROBLEMA. 11. PROPOSITIO 11.</head>
          <p>
            <s xml:id="echoid-s13399" xml:space="preserve">HOROLOGIVM Babylonicum horizontale conſtituere.
              <lb/>
            </s>
            <s xml:id="echoid-s13400" xml:space="preserve">Hoc eſt, lineas horarum ab ortu Solis in plano Horizonti æquidiſtan-
              <lb/>
            te deſcribere.</s>
            <s xml:id="echoid-s13401" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13402" xml:space="preserve">EADEM arte, qua in deſcribendis lineis horarum ab occaſu vſi ſumus, deſcribemus lineas
              <lb/>
            horarum ab ortu. </s>
            <s xml:id="echoid-s13403" xml:space="preserve">Hæ enim ab illis non differunt, niſi ſitu, & </s>
            <s xml:id="echoid-s13404" xml:space="preserve">ordine; </s>
            <s xml:id="echoid-s13405" xml:space="preserve">ita vt hora 23. </s>
            <s xml:id="echoid-s13406" xml:space="preserve">ab occaſu
              <lb/>
            translata ad horas ante meridiem ſit hora prima ab ortu, & </s>
            <s xml:id="echoid-s13407" xml:space="preserve">hora 22. </s>
            <s xml:id="echoid-s13408" xml:space="preserve">eodem modo translata ſit ho
              <lb/>
              <note position="left" xlink:label="note-0219-01" xlink:href="note-0219-01a" xml:space="preserve">10</note>
            ra ſecunda, &</s>
            <s xml:id="echoid-s13409" xml:space="preserve">c. </s>
            <s xml:id="echoid-s13410" xml:space="preserve">vt perſpicuum eſt, ſi rectè contemplemur naturam, & </s>
            <s xml:id="echoid-s13411" xml:space="preserve">ſitum iſtorum circulorum
              <lb/>
            horariorum, & </s>
            <s xml:id="echoid-s13412" xml:space="preserve">figuram antecedentis propoſ. </s>
            <s xml:id="echoid-s13413" xml:space="preserve">Quemadmodum ergo pro horologio Italico deſcri
              <lb/>
              <note position="right" xlink:label="note-0219-02" xlink:href="note-0219-02a" xml:space="preserve">Deſcriptio@ ho-
                <lb/>
              rologii Babylo
                <lb/>
              nici horizo@ta-
                <lb/>
              lis.</note>
            bendo ſecundum priorem modum diuiſie
              <unsure/>
            nem circuli M a N b, incepimus à punctis b, & </s>
            <s xml:id="echoid-s13414" xml:space="preserve">e, occi-
              <lb/>
              <figure xlink:label="fig-0219-01" xlink:href="fig-0219-01a" number="152">
                <image file="0219-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0219-01"/>
              </figure>
              <note position="left" xlink:label="note-0219-03" xlink:href="note-0219-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0219-04" xlink:href="note-0219-04a" xml:space="preserve">30</note>
            dentalibus, ita eandem pro horologio Babylonico inchoabimus à punctis a, & </s>
            <s xml:id="echoid-s13415" xml:space="preserve">d, orientalibus;
              <lb/>
            </s>
            <s xml:id="echoid-s13416" xml:space="preserve">ita vt puncta a, d, pertineant ad horam 24. </s>
            <s xml:id="echoid-s13417" xml:space="preserve">ab ortu in vtroque tropico, proxima verò verſus N, ad
              <lb/>
              <note position="left" xlink:label="note-0219-05" xlink:href="note-0219-05a" xml:space="preserve">40</note>
            horam primam, & </s>
            <s xml:id="echoid-s13418" xml:space="preserve">ſequentia ad ſecundam, &</s>
            <s xml:id="echoid-s13419" xml:space="preserve">c. </s>
            <s xml:id="echoid-s13420" xml:space="preserve">Per hæc enim diuiſionum puncta reperiemus in
              <lb/>
            vtroque tropico puncta horarum ab ortu Solis, vt ſupra de punctis horarum ab occaſu diximus.</s>
            <s xml:id="echoid-s13421" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13422" xml:space="preserve">POTEST etiam diuiſio circuli M a N b, initium habere à puncto cuiuſuis horæ ab ortu in
              <lb/>
            cius circunferentia inuentę, vt in pręcedenti propoſ. </s>
            <s xml:id="echoid-s13423" xml:space="preserve">declaratum eſt.</s>
            <s xml:id="echoid-s13424" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13425" xml:space="preserve">IN alijs modis nulla etiam difficultas eſt, ſi pręcepta pręcedentis propoſ. </s>
            <s xml:id="echoid-s13426" xml:space="preserve">rectè intelligantur, & </s>
            <s xml:id="echoid-s13427" xml:space="preserve">
              <lb/>
            tabulæ propoſ. </s>
            <s xml:id="echoid-s13428" xml:space="preserve">19. </s>
            <s xml:id="echoid-s13429" xml:space="preserve">20. </s>
            <s xml:id="echoid-s13430" xml:space="preserve">& </s>
            <s xml:id="echoid-s13431" xml:space="preserve">33. </s>
            <s xml:id="echoid-s13432" xml:space="preserve">ſuperioris libri diligenter expendantur, vt puncta inueniantur, in
              <lb/>
            quibus ſe mutuo interſecant lineæ horarum à meridie vel media nocte, & </s>
            <s xml:id="echoid-s13433" xml:space="preserve">ab ortu vel occaſu.</s>
            <s xml:id="echoid-s13434" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13435" xml:space="preserve">SIT enim exempli gratia deſcribendum horologium Babylonicum iuxta ſecundum modum
              <lb/>
              <note position="right" xlink:label="note-0219-06" xlink:href="note-0219-06a" xml:space="preserve">Alia deſcriptio
                <lb/>
              horologii Baby
                <lb/>
              lonici horizon-
                <lb/>
              talis, ex arcu-
                <lb/>
              bus diurnis.</note>
            per arcus diurnos. </s>
            <s xml:id="echoid-s13436" xml:space="preserve">Hora prima ab ortu tranſit, vt ex tabulis propoſ. </s>
            <s xml:id="echoid-s13437" xml:space="preserve">33. </s>
            <s xml:id="echoid-s13438" xml:space="preserve">præcedentis lib. </s>
            <s xml:id="echoid-s13439" xml:space="preserve">pater, per
              <lb/>
            horam ſextam à media nocte in arcu diurno horaru m 14. </s>
            <s xml:id="echoid-s13440" xml:space="preserve">& </s>
            <s xml:id="echoid-s13441" xml:space="preserve">per horam ſeptimam à media nocte
              <lb/>
              <note position="left" xlink:label="note-0219-07" xlink:href="note-0219-07a" xml:space="preserve">50</note>
            in arcu diurno horarum 12. </s>
            <s xml:id="echoid-s13442" xml:space="preserve">& </s>
            <s xml:id="echoid-s13443" xml:space="preserve">per horam octauam à media nocte in arcu diurno horarum 10.
              <lb/>
            </s>
            <s xml:id="echoid-s13444" xml:space="preserve">Igitur recta linea per haſce horas à med. </s>
            <s xml:id="echoid-s13445" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s13446" xml:space="preserve">ducta dabit horam 1. </s>
            <s xml:id="echoid-s13447" xml:space="preserve">ab ortu Solis; </s>
            <s xml:id="echoid-s13448" xml:space="preserve">& </s>
            <s xml:id="echoid-s13449" xml:space="preserve">ita de reliquis. </s>
            <s xml:id="echoid-s13450" xml:space="preserve">
              <lb/>
            Horæ autem, quæ in arcu diurno horarum 10. </s>
            <s xml:id="echoid-s13451" xml:space="preserve">nulla habent puncta, vt ſunt omnes horæ poſt ho@ã
              <lb/>
            nonam ab ortu in noſtro exemplo, ducendæ erunt per puncta in arcubus diurnis horatum 14. </s>
            <s xml:id="echoid-s13452" xml:space="preserve">& </s>
            <s xml:id="echoid-s13453" xml:space="preserve">
              <lb/>
            12. </s>
            <s xml:id="echoid-s13454" xml:space="preserve">At hora duodecima ab ortu ducenda eſt parallela lineę ęquinoctiali (quia linea horę duodeci
              <lb/>
            mę ab ortu, vel occaſu, & </s>
            <s xml:id="echoid-s13455" xml:space="preserve">linea ęquinoctialis, parallelę ſunt in horologio horizontali, vt ex ſcholio
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s13456" xml:space="preserve">22. </s>
            <s xml:id="echoid-s13457" xml:space="preserve">antecedentis lib. </s>
            <s xml:id="echoid-s13458" xml:space="preserve">manifeſtum eſt) per horam quintam à meridie in arcu diurno hora-
              <lb/>
            rum 14. </s>
            <s xml:id="echoid-s13459" xml:space="preserve">Pro hora deinde 13. </s>
            <s xml:id="echoid-s13460" xml:space="preserve">ab ortu, quoniam ſolum punctum habet horæ ſextę à meridie in a@-
              <lb/>
            cu diurno horarum 14. </s>
            <s xml:id="echoid-s13461" xml:space="preserve">ducemus 13. </s>
            <s xml:id="echoid-s13462" xml:space="preserve">ab occaſu per horam octauam à media nocte in arcu diur-
              <lb/>
            no horarum 14. </s>
            <s xml:id="echoid-s13463" xml:space="preserve">& </s>
            <s xml:id="echoid-s13464" xml:space="preserve">per horam ſeptimam à media nocte in arcu diurno horarum 12. </s>
            <s xml:id="echoid-s13465" xml:space="preserve">Hæc enim vl-
              <lb/>
            tra arcum maximi parallelorum ſemper apparentium producta dabit, vt in ſcholio </s>
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