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 style="it">
            <s xml:id="echoid-s19656" xml:space="preserve">
              <pb o="290" file="0306" n="306" rhead="GNOMONICES"/>
            dicant eaſdem horas in inferiori, ſi eius partes inuertantur, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s19657" xml:space="preserve">14. </s>
            <s xml:id="echoid-s19658" xml:space="preserve">huius libri de-
              <lb/>
            monſtrauimus.</s>
            <s xml:id="echoid-s19659" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s19660" xml:space="preserve">PORRO horologium Italicum, ac Babylonicum deſcribemus etiam hoc modo, nulla habita ratio-
              <lb/>
              <note position="left" xlink:label="note-0306-01" xlink:href="note-0306-01a" xml:space="preserve">Horologiũ Ita
                <lb/>
              licum ac Baby
                <lb/>
              lonicũ quomo-
                <lb/>
              do conſtruatur,
                <lb/>
              nulla habita ra
                <lb/>
              tione parallelo
                <lb/>
              rum Solis.</note>
            ne parallclorum Solis. </s>
            <s xml:id="echoid-s19661" xml:space="preserve">Ex A, centro cir culus B G F, ad quod cunque interuallum de ſcriptus in partes
              <lb/>
            24. </s>
            <s xml:id="echoid-s19662" xml:space="preserve">æquales ſecetur, ductis diametris per centrum A, & </s>
            <s xml:id="echoid-s19663" xml:space="preserve">quælibet duo puncta oppoſita, excitentur ad
              <lb/>
              <figure xlink:label="fig-0306-01" xlink:href="fig-0306-01a" number="211">
                <image file="0306-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0306-01"/>
              </figure>
              <note position="left" xlink:label="note-0306-02" xlink:href="note-0306-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0306-03" xlink:href="note-0306-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0306-04" xlink:href="note-0306-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0306-05" xlink:href="note-0306-05a" xml:space="preserve">40</note>
            ipſas in extremis punctis lineæ perpendiculares, vel (quod idem eſt) circulum tangentes: </s>
            <s xml:id="echoid-s19664" xml:space="preserve">quas dico
              <lb/>
            horas indicare ab ortu, & </s>
            <s xml:id="echoid-s19665" xml:space="preserve">occaſu in horologio æquinoctiali; </s>
            <s xml:id="echoid-s19666" xml:space="preserve">ita vt ſi quamlibet harum linearum tangen-
              <lb/>
            tium pro
              <unsure/>
            linea horizontali, ſeu horæ 24. </s>
            <s xml:id="echoid-s19667" xml:space="preserve">elegeris, nempe ipſam C D, proxima linea infra hanc
              <lb/>
            ad ſiniſtram monſtret horam 23. </s>
            <s xml:id="echoid-s19668" xml:space="preserve">ab occaſu, inſequens 22. </s>
            <s xml:id="echoid-s19669" xml:space="preserve">& </s>
            <s xml:id="echoid-s19670" xml:space="preserve">c. </s>
            <s xml:id="echoid-s19671" xml:space="preserve">in horologio ſuperiori. </s>
            <s xml:id="echoid-s19672" xml:space="preserve">Proxima
              <lb/>
            verò linea infra eandem horizontalem C D, ad dextram exhibeat horam primam ab ortu, & </s>
            <s xml:id="echoid-s19673" xml:space="preserve">quæ ſe-
              <lb/>
            quitur, ſecundam, & </s>
            <s xml:id="echoid-s19674" xml:space="preserve">c. </s>
            <s xml:id="echoid-s19675" xml:space="preserve">in eodem ſuperiori horologio. </s>
            <s xml:id="echoid-s19676" xml:space="preserve">Quoniam enim vt in præcedenti propoſ. </s>
            <s xml:id="echoid-s19677" xml:space="preserve">docui-
              <lb/>
            mus, demonſtratum{q́ue} eſt propoſ. </s>
            <s xml:id="echoid-s19678" xml:space="preserve">14. </s>
            <s xml:id="echoid-s19679" xml:space="preserve">libri ſuperioris, horæ ab ortu, vel occaſu tangunt paralle-
              <lb/>
            lum omnium ſemper apparentium maximum cuiuſcunque horologii (qui in æquinoctiali horologio cir cu-
              <lb/>
            lus eſt) in punctis, vbi eundem horæ à meridie, vel media nocte ſecant; </s>
            <s xml:id="echoid-s19680" xml:space="preserve">ſi cir culus B G F, intelligatur
              <lb/>
            in horologio æquinoctiali dictus maximus parallelus, erunt puncta diuiſionum ipſius, horæ à meridie,
              <lb/>
              <note position="left" xlink:label="note-0306-06" xlink:href="note-0306-06a" xml:space="preserve">50</note>
            vel media nocte, cũ ipſum in partes æquales 24. </s>
            <s xml:id="echoid-s19681" xml:space="preserve">diſtribuant; </s>
            <s xml:id="echoid-s19682" xml:space="preserve">ac idcirco lineæ tangentes eundem in eiſdem
              <lb/>
            punctis, horas ab ortu, vel occaſu monſtr abunt. </s>
            <s xml:id="echoid-s19683" xml:space="preserve">In horologio inferiori, quod nobis ſubminiſtrat portio
              <lb/>
            abſciſſa à linea horizontali C D, ſi omnes eius partes inuertantur, eadem ratio eſt, ut figura indicat, & </s>
            <s xml:id="echoid-s19684" xml:space="preserve">
              <lb/>
            ex dictis manifeſtum eſſe poteſt.</s>
            <s xml:id="echoid-s19685" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s19686" xml:space="preserve">DVCEMVS autem dictas perpendiculares, ſeu tangentes circulum ſine magno labore, hac ra-
              <lb/>
              <note position="left" xlink:label="note-0306-07" xlink:href="note-0306-07a" xml:space="preserve">Quomodo li-
                <lb/>
              neę horarię pro
                <lb/>
              xime antecedẽ-
                <lb/>
              tis figurę facile
                <lb/>
              ducantur.</note>
            tione. </s>
            <s xml:id="echoid-s19687" xml:space="preserve">Ducta vna perpendiculari, ſeu tangente linea C D, deſcribatur ex A, circulus quantæcunque ma
              <lb/>
            gnitudinis occultus per puncta C, D, tranſiens, qui maior tamen ſit circulo B G F. </s>
            <s xml:id="echoid-s19688" xml:space="preserve">Diuidatur in 24. </s>
            <s xml:id="echoid-s19689" xml:space="preserve">par
              <lb/>
            tes ęquales, principio facto à puncto C, & </s>
            <s xml:id="echoid-s19690" xml:space="preserve">iterum in alias partes 24. </s>
            <s xml:id="echoid-s19691" xml:space="preserve">initio facto à puncto D, cuiusmodi
              <lb/>
            eſt extremus circulus proximè antecedentis figurę punctis notatus. </s>
            <s xml:id="echoid-s19692" xml:space="preserve">Nam quemadmodum recta C D,
              <lb/>
            perpendicularis eſt ad B A, & </s>
            <s xml:id="echoid-s19693" xml:space="preserve">tangit circulum B G F, in B, ducitur{q́ue} per prima puncta diuiſionum, </s>
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