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="357" file="0373" n="373" rhead="LIBER TERTIVS."/>
          <p style="it">
            <s xml:id="echoid-s23712" xml:space="preserve">SI planum ad Horizontem inclinatum fuerit ſtabile, it a rem aggrediemur. </s>
            <s xml:id="echoid-s23713" xml:space="preserve">In plano ducemus Hori-
              <lb/>
              <note position="right" xlink:label="note-0373-01" xlink:href="note-0373-01a" xml:space="preserve">Qua ratione in
                <lb/>
              plano ad Hori-
                <lb/>
              zonæm in@lina
                <lb/>
              to ſtabili horo-
                <lb/>
              logium ſit con-
                <lb/>
              ſtruendum.</note>
            zonti lineam æquidiſtantem F K, pro linea æquinoctiali, & </s>
            <s xml:id="echoid-s23714" xml:space="preserve">ad eam ducemus per pendicularem H E, pro
              <lb/>
            linea meridiana, quæ illam ſecet in I. </s>
            <s xml:id="echoid-s23715" xml:space="preserve">Deinde ex I, verſus partem inferiorem, ſi centrum horologij infra
              <lb/>
            æquinoctialem lineam cadit, aut verſus ſuperiorem partem, ſi horologij centrum cadit ſupra lineam æqui
              <lb/>
            noctialem, (Id quod ſuperiora ſex præcepta clariſſime docent) transferemus ex portione Analemmatis
              <lb/>
            rectam H I, in lineam meridianam H E, vſque ad punctum H, quod centrum erit horologij. </s>
            <s xml:id="echoid-s23716" xml:space="preserve">Item in ean
              <lb/>
            dem lineam meridianam ex portione Analemmatis transferem{us} rectam I D, ex I, vſque ad E. </s>
            <s xml:id="echoid-s23717" xml:space="preserve">Po-
              <lb/>
            stremo ex E, deſcripto circulo, eoq́, di@iſo in 24 hor{as}, &</s>
            <s xml:id="echoid-s23718" xml:space="preserve">c. </s>
            <s xml:id="echoid-s23719" xml:space="preserve">reliqua perficiem{us}, vt prius.</s>
            <s xml:id="echoid-s23720" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s23721" xml:space="preserve">SI vero idem horologium deſcribendum ſit in plano dato, ſine portione Analemmatis ſeorſum con-
              <lb/>
              <note position="right" xlink:label="note-0373-02" xlink:href="note-0373-02a" xml:space="preserve">Deſcriptio eiuſ
                <lb/>
              dem horologii
                <lb/>
              ad Horizontẽ
                <lb/>
              inclinati pro
                <lb/>
              data ſ@yli lon gi
                <lb/>
              @udine, cuius e-
                <lb/>
              tiam locus da-
                <lb/>
              tus fit, ſine por-
                <lb/>
              tione Analem
                <lb/>
              matis ſeorſum
                <lb/>
              conſtru@ta.</note>
            ſtructa, ad quamcunque longitudinem ſtyli, cuius etiam loc{us} dat{us} ſit, progrediemur hac via. </s>
            <s xml:id="echoid-s23722" xml:space="preserve">Sit lon-
              <lb/>
              <note position="left" xlink:label="note-0373-03" xlink:href="note-0373-03a" xml:space="preserve">10</note>
            gitudo styli data D G, eiusq́, loc{us} in plano horologii punctum G. </s>
            <s xml:id="echoid-s23723" xml:space="preserve">Si igitur planum horologii fuerit quod-
              <lb/>
              <figure xlink:label="fig-0373-01" xlink:href="fig-0373-01a" number="248">
                <image file="0373-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0373-01"/>
              </figure>
              <note position="left" xlink:label="note-0373-04" xlink:href="note-0373-04a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0373-05" xlink:href="note-0373-05a" xml:space="preserve">30</note>
            cunque, vt horologium in eo deſcriptum in proprio deinde fitu collocetur, vel in planum ſtabile, quod ad
              <lb/>
            Horizontem ſit inclinatum, transfer atur, ducem{us} per G, locum ſtyli lineam rectam vtcunque H E, pro
              <lb/>
            linea meridiana: </s>
            <s xml:id="echoid-s23724" xml:space="preserve">Si autem planum horologii proponatur ſtabile, & </s>
            <s xml:id="echoid-s23725" xml:space="preserve">ad Horizontem inclinatum, duce-
              <lb/>
              <note position="left" xlink:label="note-0373-06" xlink:href="note-0373-06a" xml:space="preserve">40</note>
            m{us} per G, lineam Horizonti par allelam D G, ad quam in G, excitabimus perpendicularem H E, pro
              <lb/>
            linea meridiana: </s>
            <s xml:id="echoid-s23726" xml:space="preserve">& </s>
            <s xml:id="echoid-s23727" xml:space="preserve">ex G D, abſcindemus rectam G D, dato ſtylo ęqualem. </s>
            <s xml:id="echoid-s23728" xml:space="preserve">Ex centro autem D, arcum
              <lb/>
            circuli deſcribemus, in eoq́, à recta D G, ad partes G, producta numer abim{us} complementum altitudi-
              <lb/>
            nis poli ſupra planum inclinatum inuentæ, verſus quidẽ partem inferiorem horologii, (quam nunc poni-
              <lb/>
            mus eſſe à puncto G, verſ{us} H) ſi centrũ horologii infra lineam æquinoctialẽ cadit, (quod quando contin-
              <lb/>
            gat, ex ſuperiorib{us} præceptis colligitur) verſ{us} partem autem ſuperiorem, ſi centrum horologii ſupra
              <lb/>
            lineam ęquinoctialem exiſtit; </s>
            <s xml:id="echoid-s23729" xml:space="preserve">& </s>
            <s xml:id="echoid-s23730" xml:space="preserve">ex D, per finem ſupputationis rectam educem{us}, quę meridianam lineã
              <lb/>
            ſecet in H, centro horologii. </s>
            <s xml:id="echoid-s23731" xml:space="preserve">In eodem quoque arcu ab eadem recta D G, verſ{us} oppoſitam partem nu-
              <lb/>
            merabimus ipſam altitudinem poli ſupra planum inclinatum inuentam, & </s>
            <s xml:id="echoid-s23732" xml:space="preserve">per finem numer ationis ex D,
              <lb/>
            rectam ducem{us}, quæ ad D H, perpendicularis erit, ſecabit{q́ue} meridianam lineam in puncto I, per quod
              <lb/>
              <note position="left" xlink:label="note-0373-07" xlink:href="note-0373-07a" xml:space="preserve">50</note>
            ducenda eſt linea æquinoctialis F K, ad meridianam lineam perpendicularis. </s>
            <s xml:id="echoid-s23733" xml:space="preserve">Sumpta iam recta I E, ipſi
              <lb/>
            I D, æquali, deſcripto{q́ue} circulo ex E, qui in partes 24. </s>
            <s xml:id="echoid-s23734" xml:space="preserve">æquales ſecetun, abſoluem{us} reliqua, vt pri{us}.
              <lb/>
            </s>
            <s xml:id="echoid-s23735" xml:space="preserve">Demonſtratio hui{us} rei ab ea non differt, quam in ſcholio propoſ. </s>
            <s xml:id="echoid-s23736" xml:space="preserve">1. </s>
            <s xml:id="echoid-s23737" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s23738" xml:space="preserve">ſcripſim{us}, cum horo-
              <lb/>
            logium horizontale ad datam ſtyli longitudinem conſtrueremus. </s>
            <s xml:id="echoid-s23739" xml:space="preserve">Eſt enim planum ad Horizontem inclin-
              <lb/>
            natum Horizon quidam, vt perſpicuum eſt.</s>
            <s xml:id="echoid-s23740" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s23741" xml:space="preserve">PER Ellipſim quoque in plano horologii deſcriptam, cui{us} maior ſemidiameter eſt H I, minon au-
              <lb/>
              <note position="right" xlink:label="note-0373-08" xlink:href="note-0373-08a" xml:space="preserve">Deſcriptio eiuſ
                <lb/>
              dem horologii
                <lb/>
              beneficio Elli-
                <lb/>
              pſis.</note>
            tem I D, & </s>
            <s xml:id="echoid-s23742" xml:space="preserve">centrum H, deſcribem{us} idem horologium, vt horizont ale deſcripſim{us} in ſcholio propoſ. </s>
            <s xml:id="echoid-s23743" xml:space="preserve">1.
              <lb/>
            </s>
            <s xml:id="echoid-s23744" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s23745" xml:space="preserve">Id quod ex figura, quam in eo ſcholio appoſuimus, facile intelligi poteſt. </s>
            <s xml:id="echoid-s23746" xml:space="preserve">Refert enim ea
              <lb/>
            figur a in regione, cui{us} latitudo complectitur grad. </s>
            <s xml:id="echoid-s23747" xml:space="preserve">60. </s>
            <s xml:id="echoid-s23748" xml:space="preserve">horologium inclinatum ad Horizontem gr. </s>
            <s xml:id="echoid-s23749" xml:space="preserve">18. </s>
            <s xml:id="echoid-s23750" xml:space="preserve">ex
              <lb/>
            parte boreali: </s>
            <s xml:id="echoid-s23751" xml:space="preserve">quia tunc pol{us} arctic{us} habet ſupr a illud planum altitudinem grad, 42. </s>
            <s xml:id="echoid-s23752" xml:space="preserve">quemadmodum
              <lb/>
            & </s>
            <s xml:id="echoid-s23753" xml:space="preserve">ſupra Horizontem illi{us} loci, pro quo illud horizontale horologium conſtruxim{us}.</s>
            <s xml:id="echoid-s23754" xml:space="preserve"/>
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