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-div1415" type="section" level="1" n="348">
          <pb o="423" file="0439" n="439" rhead="LIBER QVARTVS."/>
          <figure number="291">
            <image file="0439-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0439-01"/>
          </figure>
          <note position="left" xml:space="preserve">10</note>
          <note position="left" xml:space="preserve">20</note>
          <note position="right" xml:space="preserve">Aſcendentia ſi
            <unsure/>
            <lb/>
          gna in eodem
            <lb/>
          horologio.</note>
          <p>
            <s xml:id="echoid-s27736" xml:space="preserve">SIGNA tandem aſcendentia, vt in ſuperioribus, delineabuntur. </s>
            <s xml:id="echoid-s27737" xml:space="preserve">Quapropter horologia ab
              <lb/>
            Horizonte declinantia in ſphæra recta conſtruximus. </s>
            <s xml:id="echoid-s27738" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s27739" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1423" type="section" level="1" n="349">
          <head xml:id="echoid-head362" xml:space="preserve">PROBLEMA 8. PROPOSITIO 8.</head>
          <note position="left" xml:space="preserve">30</note>
          <p>
            <s xml:id="echoid-s27740" xml:space="preserve">HOROLOGIA ad Horizontem inclinata in ſphæra recta
              <lb/>
            delineare.</s>
            <s xml:id="echoid-s27741" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Horologiu@
            <lb/>
          Aſtronomicũ
            <lb/>
          ad Horizõtem
            <lb/>
          ſphęrę rectæ in
            <lb/>
          clinatum quo
            <lb/>
          modo deſcriba
            <lb/>
          tur.</note>
          <p>
            <s xml:id="echoid-s27742" xml:space="preserve">QVONIAM inclinatio plani ad Horizontem in ſphęra recta (loquimur autem de planis ad
              <lb/>
            Meridianũ rectis, & </s>
            <s xml:id="echoid-s27743" xml:space="preserve">quorum circuli maximi quibus æquidiſtant, per polos Meridiani, id eſt, per
              <lb/>
            ſectiones cõmunes Horizontis, & </s>
            <s xml:id="echoid-s27744" xml:space="preserve">Æquatoris ducuntur) altitudinẽ poli ſupra idẽ planũ metitur,
              <lb/>
            ſit vt horologia aſtronomica ad Horizontem inclinata in ſphæra recta deſcribantur, vt horizonta
              <lb/>
            lia in ſphæra obliqua, ſi pro altitudine poli in portione Analemmatis propoſ. </s>
            <s xml:id="echoid-s27745" xml:space="preserve">1. </s>
            <s xml:id="echoid-s27746" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s27747" xml:space="preserve">2. </s>
            <s xml:id="echoid-s27748" xml:space="preserve">accipiatur
              <lb/>
              <note position="left" xlink:label="note-0439-06" xlink:href="note-0439-06a" xml:space="preserve">40</note>
            arcus C E, inclinationi plani ad Horizontẽ æqualis; </s>
            <s xml:id="echoid-s27749" xml:space="preserve">ita vt axis mundi E D, cõmunis ſectio ſit Ho
              <lb/>
            rizontis recti, ac meridiani; </s>
            <s xml:id="echoid-s27750" xml:space="preserve">E, polus mundi, ſiue arcticus, ſiue antarcticus; </s>
            <s xml:id="echoid-s27751" xml:space="preserve">B C, ſectio communis
              <lb/>
            Meridiani, & </s>
            <s xml:id="echoid-s27752" xml:space="preserve">circuli maximi, cui horologiũ æquidiſtat; </s>
            <s xml:id="echoid-s27753" xml:space="preserve">& </s>
            <s xml:id="echoid-s27754" xml:space="preserve">H I, cõmunis ſectio Meridiani, & </s>
            <s xml:id="echoid-s27755" xml:space="preserve">plani
              <lb/>
            horologii. </s>
            <s xml:id="echoid-s27756" xml:space="preserve">Vnde quoniã Horizon rectus, ſiue circulus horæ 6. </s>
            <s xml:id="echoid-s27757" xml:space="preserve">à meridie vel media nocte per axẽ
              <lb/>
            E D, ductus occurrit plano horologii in H, cẽtro horologii, per quod ducitur linea horæ 6. </s>
            <s xml:id="echoid-s27758" xml:space="preserve">à me-
              <lb/>
            ridie, vel media nocte ad meridianam lineam perpendicularis, dabit in hoc horologio linea horæ
              <lb/>
            6. </s>
            <s xml:id="echoid-s27759" xml:space="preserve">à meridie, vel media nocte lineam horizontalem, quæ ſemper ſuperiorem locum occupabit,
              <lb/>
            conſtituto horologio in proprio ſitu. </s>
            <s xml:id="echoid-s27760" xml:space="preserve">Ordo horarum in horologio, quod ex parte auſtrali eleuatur
              <lb/>
              <note position="right" xlink:label="note-0439-07" xlink:href="note-0439-07a" xml:space="preserve">Ordo horarum
                <lb/>
              in prædicto h@
                <lb/>
              rologio.</note>
            ſupra Horizontem, ſpectatq́ue ad boream, idem eſt, qui in horologio horizõtali ſphæræ obliquę,
              <lb/>
            quia polus arcticus, ſupra planum horologij eleuatur; </s>
            <s xml:id="echoid-s27761" xml:space="preserve">adeò vt horizontale horologium, quod ad
              <lb/>
              <note position="left" xlink:label="note-0439-08" xlink:href="note-0439-08a" xml:space="preserve">50</note>
            initium libri 2. </s>
            <s xml:id="echoid-s27762" xml:space="preserve">ad latitudinem grad. </s>
            <s xml:id="echoid-s27763" xml:space="preserve">42. </s>
            <s xml:id="echoid-s27764" xml:space="preserve">deſcripſimus, eleuatum ex parte auſtrali grad. </s>
            <s xml:id="echoid-s27765" xml:space="preserve">42. </s>
            <s xml:id="echoid-s27766" xml:space="preserve">exhi-
              <lb/>
            beat horologium inclinatum grad. </s>
            <s xml:id="echoid-s27767" xml:space="preserve">42. </s>
            <s xml:id="echoid-s27768" xml:space="preserve">in ſphæra recta, ita tamen vt linea horæ 6. </s>
            <s xml:id="echoid-s27769" xml:space="preserve">à meridie, vel
              <lb/>
            media nocte ſit linea horizontalis. </s>
            <s xml:id="echoid-s27770" xml:space="preserve">Quòd ſi horologium ad auſtrum ſpectet, eleueturq́ue ex par-
              <lb/>
            te boreali, erit idem ordo horarum, qui in Verticali horologio ſphærę obliquæ auſtrali, quia po-
              <lb/>
            lus antarcticus eleuatur ſupra planum horologii, adeò vt Verticale horologium ad auſtrum ſpe-
              <lb/>
            ctans, quod in lib. </s>
            <s xml:id="echoid-s27771" xml:space="preserve">2. </s>
            <s xml:id="echoid-s27772" xml:space="preserve">deſcripſimus propoſ. </s>
            <s xml:id="echoid-s27773" xml:space="preserve">13. </s>
            <s xml:id="echoid-s27774" xml:space="preserve">& </s>
            <s xml:id="echoid-s27775" xml:space="preserve">14. </s>
            <s xml:id="echoid-s27776" xml:space="preserve">ad latitudinem grad. </s>
            <s xml:id="echoid-s27777" xml:space="preserve">42. </s>
            <s xml:id="echoid-s27778" xml:space="preserve">eleuatum ex par-
              <lb/>
            te boreali grad. </s>
            <s xml:id="echoid-s27779" xml:space="preserve">48. </s>
            <s xml:id="echoid-s27780" xml:space="preserve">(quanta nimirum eſt poli altitudo ſupra Verticalem circulum) præbeat in
              <lb/>
            ſphæra recta horologium inclinatum grad. </s>
            <s xml:id="echoid-s27781" xml:space="preserve">48. </s>
            <s xml:id="echoid-s27782" xml:space="preserve">ita vt rurſus linea horæ 6. </s>
            <s xml:id="echoid-s27783" xml:space="preserve">à meridie, uel media
              <lb/>
            nocte det lineam horizontalem. </s>
            <s xml:id="echoid-s27784" xml:space="preserve">Quę omnia clara ſunt, & </s>
            <s xml:id="echoid-s27785" xml:space="preserve">perſpicua, ſi horologium ad Horizon-
              <lb/>
              <note position="right" xlink:label="note-0439-09" xlink:href="note-0439-09a" xml:space="preserve">Quando lon-
                <lb/>
              gitudo ſtyli
                <lb/>
              vna cum eius
                <lb/>
              loco data eſt.</note>
            tem inclinatum in proprio ſitu cogitetur eſſe collocatum.</s>
            <s xml:id="echoid-s27786" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27787" xml:space="preserve">QVOD ſi detur longitudo ſtyli, eiuſque locus in plano inclinato, procedemus, vt in </s>
          </p>
        </div>
      </text>
    </echo>
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