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-s9212" xml:space="preserve">
              <pb o="143" file="0163" n="163" rhead="LIBER SECVNDVS."/>
            in H, & </s>
            <s xml:id="echoid-s9213" xml:space="preserve">I. </s>
            <s xml:id="echoid-s9214" xml:space="preserve">Si igitur per B C, duci intelligatur Horizon ad Meridianum rectus, & </s>
            <s xml:id="echoid-s9215" xml:space="preserve">per HI, planum
              <lb/>
            horologij Horizonti æquidiſtans; </s>
            <s xml:id="echoid-s9216" xml:space="preserve">cum & </s>
            <s xml:id="echoid-s9217" xml:space="preserve">Meridianus, & </s>
            <s xml:id="echoid-s9218" xml:space="preserve">Verticalis ad Horizontem rectus ſit, erit
              <lb/>
            ad eundem communis eorum ſectio A D, perpendicularis, atque adeo & </s>
            <s xml:id="echoid-s9219" xml:space="preserve">ad planum horologij per
              <lb/>
              <note position="right" xlink:label="note-0163-01" xlink:href="note-0163-01a" xml:space="preserve">19. vndec.</note>
            H I, ductum Horizonti parallelum, ex iis, quæ ad pro-
              <lb/>
              <figure xlink:label="fig-0163-01" xlink:href="fig-0163-01a" number="119">
                <image file="0163-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0163-01"/>
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            poſ. </s>
            <s xml:id="echoid-s9220" xml:space="preserve">14. </s>
            <s xml:id="echoid-s9221" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s9222" xml:space="preserve">11. </s>
            <s xml:id="echoid-s9223" xml:space="preserve">Euclidis demonſtrauimus, perpendicu-
              <lb/>
            laris erit. </s>
            <s xml:id="echoid-s9224" xml:space="preserve">Erit ergo H I, in plano horologij linea me-
              <lb/>
            ridiana, ſiue horæ 12. </s>
            <s xml:id="echoid-s9225" xml:space="preserve">vtpote communis ſectio Meri-
              <lb/>
            diani, & </s>
            <s xml:id="echoid-s9226" xml:space="preserve">plani horologij. </s>
            <s xml:id="echoid-s9227" xml:space="preserve">Eſt enim recta H I, in plano
              <lb/>
            rectarum H D, I D, hoc eſt, in plano Meridiani; </s>
            <s xml:id="echoid-s9228" xml:space="preserve">D G,
              <lb/>
              <note position="right" xlink:label="note-0163-02" xlink:href="note-0163-02a" xml:space="preserve">2. vndec.</note>
            gnomon erit, ſiue ſtylus ad planum horologij rectus,
              <lb/>
              <note position="left" xlink:label="note-0163-03" xlink:href="note-0163-03a" xml:space="preserve">10</note>
            atque adeò & </s>
            <s xml:id="echoid-s9229" xml:space="preserve">ad H I, lineam meridianam, per defini-
              <lb/>
            tionem 3. </s>
            <s xml:id="echoid-s9230" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s9231" xml:space="preserve">11. </s>
            <s xml:id="echoid-s9232" xml:space="preserve">Euclidis, perpendicularis, cuius ver-
              <lb/>
            tex D, idem eſt, quod centrum mundi, per propoſ. </s>
            <s xml:id="echoid-s9233" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s9234" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s9235" xml:space="preserve">Locus ſtyli punctum G, in linea meri-
              <lb/>
            diana diſtans à puncto H, in quo axis mundi plano
              <lb/>
            horologij occurrit, & </s>
            <s xml:id="echoid-s9236" xml:space="preserve">quod centrum dicitur horolo-
              <lb/>
            gij, interuallo G H, vel à puncto I, in quo planũ Aequa
              <lb/>
            toris lineam meridianam ſecat interuallo G I. </s>
            <s xml:id="echoid-s9237" xml:space="preserve">Quæ omnia perſpicua ſunt & </s>
            <s xml:id="echoid-s9238" xml:space="preserve">manifeſta, ſi Meridia
              <lb/>
            nus in proprio ſitu intelligatur eſſe poſitus, vt nimirum punctum E, ad polum arcticum ſpectet, & </s>
            <s xml:id="echoid-s9239" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0163-04" xlink:href="note-0163-04a" xml:space="preserve">Portio Analem
                <lb/>
              matis quid di-
                <lb/>
              catur.</note>
            F, vergat in auſtrum. </s>
            <s xml:id="echoid-s9240" xml:space="preserve">Hanc autem figuram appellabimus doctrinæ cauſa portionem Analemma-
              <lb/>
              <note position="left" xlink:label="note-0163-05" xlink:href="note-0163-05a" xml:space="preserve">20</note>
            tis, cum verè pars ſit Analemmatis propoſ. </s>
            <s xml:id="echoid-s9241" xml:space="preserve">1. </s>
            <s xml:id="echoid-s9242" xml:space="preserve">antecedentis lib. </s>
            <s xml:id="echoid-s9243" xml:space="preserve">deſcripti, continens nimirum com-
              <lb/>
            munes ſectiones Meridiani, & </s>
            <s xml:id="echoid-s9244" xml:space="preserve">aliquot circulorum ſphæræ.</s>
            <s xml:id="echoid-s9245" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9246" xml:space="preserve">IAM vero beneficio trianguli D H I, conſtruemus horologium Aſtronomicum horizontale,
              <lb/>
              <note position="right" xlink:label="note-0163-06" xlink:href="note-0163-06a" xml:space="preserve">Horizontalis
                <lb/>
              horologij Aſtro
                <lb/>
              nomici deſcri-
                <lb/>
              ptio.</note>
            hoc modo. </s>
            <s xml:id="echoid-s9247" xml:space="preserve">In lineam rectam H E, ductam vtcunque pro linea meridiana in plano horologij,
              <lb/>
            transferatur H I, linea meridiana portionis Analemmatis, & </s>
            <s xml:id="echoid-s9248" xml:space="preserve">abſcindatur I E, ex recta H E, rectæ
              <lb/>
              <figure xlink:label="fig-0163-02" xlink:href="fig-0163-02a" number="120">
                <image file="0163-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0163-02"/>
              </figure>
              <note position="left" xlink:label="note-0163-07" xlink:href="note-0163-07a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0163-08" xlink:href="note-0163-08a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0163-09" xlink:href="note-0163-09a" xml:space="preserve">50</note>
            DI, in eadem portione Analemmatis æqualis. </s>
            <s xml:id="echoid-s9249" xml:space="preserve">Deinde per I, in plano horologij educatur ad H E,
              <lb/>
            perpendicularis F k: </s>
            <s xml:id="echoid-s9250" xml:space="preserve">Et ex E, deſcribatur circulus ad quodcunque interuallum, quo diuiſo in 24.
              <lb/>
            </s>
            <s xml:id="echoid-s9251" xml:space="preserve">partes æquales, initio facto à linea meridiana H E, producta, ducantur per puncta diuiſionum, & </s>
            <s xml:id="echoid-s9252" xml:space="preserve">
              <lb/>
            centrum E, rectæ occultę ſecantes rectam F K, in punctis, per quæ & </s>
            <s xml:id="echoid-s9253" xml:space="preserve">punctum H, emiſſæ lineę re-
              <lb/>
            ctę dabunt lineas horarias à meridie, vel media nocte in plano, quod Horizonti æquidiſtat; </s>
            <s xml:id="echoid-s9254" xml:space="preserve">ita vt
              <lb/>
            H E, det horam duodecimam meridiei, & </s>
            <s xml:id="echoid-s9255" xml:space="preserve">lineę nobis conuerſis ad horologium poſitæ ad ſini-
              <lb/>
              <note position="right" xlink:label="note-0163-10" xlink:href="note-0163-10a" xml:space="preserve">Ordo horaruæ
                <lb/>
              in horologio
                <lb/>
              horizontali.</note>
            ſtram (Appello autem ſiniſtram partem, in qua punctum F, dextram vero, in qua punctum k)
              <lb/>
            oſtendant horas à meridie, & </s>
            <s xml:id="echoid-s9256" xml:space="preserve">lineę ad dextram poſitæ horas ante meridiem, vel poſt mediam no-
              <lb/>
            ctem, vt numeri ipſi indicant. </s>
            <s xml:id="echoid-s9257" xml:space="preserve">Pro hora verò ſexta eſt ducenda per H, linea C L, ad H E, perpen-
              <lb/>
            dicularis, vel æquidiſtans ipſi F K, monſtrabitq́; </s>
            <s xml:id="echoid-s9258" xml:space="preserve">H C, horam ſextam à meridie, & </s>
            <s xml:id="echoid-s9259" xml:space="preserve">H L, horam
              <lb/>
            ſextam à media nocte.</s>
            <s xml:id="echoid-s9260" xml:space="preserve"/>
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