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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            <s xml:id="echoid-s16760" xml:space="preserve">
              <pb o="250" file="0266" n="266" rhead="GNOMONICES"/>
            neceſſarium fere inuenire in tropicis puncta illorum ſignorum, quorum puncta in linea æquino
              <lb/>
            ctiali inuenta adeo propinqua ſunt lineæ horizontali, vt vix ſine errore aliquo linca ſigni aſcenden
              <lb/>
            tis per duo illa puncta vicina duci poſſit, niſi accedat tertium in tropico repertum. </s>
            <s xml:id="echoid-s16761" xml:space="preserve">Quod ſi pun
              <lb/>
            ctum inueniendum ſit in tropico ſupra lineam horizontalem, inueniemus illud, etiamſi tropicus
              <lb/>
              <figure xlink:label="fig-0266-01" xlink:href="fig-0266-01a" number="187">
                <image file="0266-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0266-01"/>
              </figure>
              <note position="left" xlink:label="note-0266-01" xlink:href="note-0266-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0266-02" xlink:href="note-0266-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0266-03" xlink:href="note-0266-03a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0266-04" xlink:href="note-0266-04a" xml:space="preserve">40</note>
            non ſit deſcriptus ſupra horizontalem lineam hac arte. </s>
            <s xml:id="echoid-s16762" xml:space="preserve">Sit inueniendum v. </s>
            <s xml:id="echoid-s16763" xml:space="preserve">g. </s>
            <s xml:id="echoid-s16764" xml:space="preserve">punctum pro ſigno
              <lb/>
            ♍. </s>
            <s xml:id="echoid-s16765" xml:space="preserve">Quoniam Sole exiſtente in principio ♑, ſignum ♍, oritur hora 9. </s>
            <s xml:id="echoid-s16766" xml:space="preserve">min. </s>
            <s xml:id="echoid-s16767" xml:space="preserve">26. </s>
            <s xml:id="echoid-s16768" xml:space="preserve">poſt meridiem, vt
              <lb/>
            ex 4. </s>
            <s xml:id="echoid-s16769" xml:space="preserve">tabella propoſ. </s>
            <s xml:id="echoid-s16770" xml:space="preserve">9. </s>
            <s xml:id="echoid-s16771" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s16772" xml:space="preserve">patet, numerabimus in occidentali horologio à G, verſus F, horas
              <lb/>
            9. </s>
            <s xml:id="echoid-s16773" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s16774" xml:space="preserve">26. </s>
            <s xml:id="echoid-s16775" xml:space="preserve">vel (quod idem eſt) à puncto I, (quoniam circulus in occidentali horologio non eſt in-
              <lb/>
            teger deſcriptus.) </s>
            <s xml:id="echoid-s16776" xml:space="preserve">verſus F, complementum illarum horaru m vſque ad 12. </s>
            <s xml:id="echoid-s16777" xml:space="preserve">hoc eſt, hor. </s>
            <s xml:id="echoid-s16778" xml:space="preserve">2. </s>
            <s xml:id="echoid-s16779" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s16780" xml:space="preserve">34.
              <lb/>
            </s>
            <s xml:id="echoid-s16781" xml:space="preserve">vſque ad punctum O, per quod ducemus rectam occulte tranſeuntem per E, centrum, quæ æqui-
              <lb/>
            noctialem lineam ſecet in L, puncto, per quod verſus arcum ♑, ducemus perpendicularem ad li-
              <lb/>
            neam æquinoctialem L K, quæ tropicum ♑, ſi deſcriptus eſſet, ſecaret in puncto, per quod ſignũ
              <lb/>
            aſcendens ♉, ducendum eſſet. </s>
            <s xml:id="echoid-s16782" xml:space="preserve">Sed quia tropicus ♑, vltra horizontalem lineam non eſt deſcriptus
              <lb/>
            in occidentali horologio, abſcindemus ex linea æquinoctiali infra lineam horizontalem rectam
              <lb/>
              <note position="left" xlink:label="note-0266-05" xlink:href="note-0266-05a" xml:space="preserve">50</note>
            A M, rectæ A L, æqualem, & </s>
            <s xml:id="echoid-s16783" xml:space="preserve">ex M, ad æquinoctialem lineam ducemus perpendicularem M N,
              <lb/>
            quæ tropicum ♑, ſecet in N, & </s>
            <s xml:id="echoid-s16784" xml:space="preserve">rectæ M N, abſcindemus æqualem L K. </s>
            <s xml:id="echoid-s16785" xml:space="preserve">Punctum igitur K, erit
              <lb/>
            illud, per quod & </s>
            <s xml:id="echoid-s16786" xml:space="preserve">tropicus ♑, & </s>
            <s xml:id="echoid-s16787" xml:space="preserve">ſignum aſcendens ♍, ducendum eſt, vt perſpicuum eſt. </s>
            <s xml:id="echoid-s16788" xml:space="preserve">Eadem eſt
              <lb/>
            ratio in cæteris obſeruanda. </s>
            <s xml:id="echoid-s16789" xml:space="preserve">Neque vero mirum tibi videatur, quod acceperimus nonnulla puncta
              <lb/>
            tam in æquinoctiali linea, quàm in tropicis ſupra lineam horizontalem, cum tamen nunquam
              <lb/>
            à Sole illuminetur pars illa horologii, quæ ſupra lineam horizontalem extat: </s>
            <s xml:id="echoid-s16790" xml:space="preserve">quoniam niſi denſi-
              <lb/>
            tas terræ obſiſteret, planum horologii orientalis ſemper à media nocte vſque ad meridiem inte-
              <lb/>
            gris 12. </s>
            <s xml:id="echoid-s16791" xml:space="preserve">horis, quarum vna pars infra horizontalem lineam, altera ſupra eandem continetur, à ra-
              <lb/>
              <note position="left" xlink:label="note-0266-06" xlink:href="note-0266-06a" xml:space="preserve">Qua rationę
                <lb/>
              aſcendentia ſi-
                <lb/>
              gna per doctri-
                <lb/>
              nam conicorũ
                <lb/>
              A poll. deſcribã
                <lb/>
              tur.</note>
            diis ſolaribus illuſtraretur. </s>
            <s xml:id="echoid-s16792" xml:space="preserve">quod idem dices de plano occidentalis horologij à meridie in mediã
              <lb/>
            noctem. </s>
            <s xml:id="echoid-s16793" xml:space="preserve">Vnde tunc illæ horæ indicarent, quænam ſigna Zodiaci Horizontem attingant. </s>
            <s xml:id="echoid-s16794" xml:space="preserve">Quòd ſi
              <lb/>
            lineæ tangentes tropicos ducantur per puncta in tropicis inuenta, (quæ ducentur, vt in coroll.</s>
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