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-s41652" xml:space="preserve">
              <pb o="635" file="0651" n="651" rhead="LIBER OCTAVVS."/>
            ſe coaptentur ad commune latus per A, ductum, vt A B C D, circa illud latus moueri poſſit, ſeu
              <lb/>
            eleuari, & </s>
            <s xml:id="echoid-s41653" xml:space="preserve">deprimi ad altitudinem Aequatoris, ſeu ad cõplementũ altitudinis poli, in quadrante
              <lb/>
            H I K, qui in H, ita accommodetur, vt, cum claudendum eſt horologiũ, inclinari poſſit, & </s>
            <s xml:id="echoid-s41654" xml:space="preserve">poni
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            ſuper planum A E F G. </s>
            <s xml:id="echoid-s41655" xml:space="preserve">Poſtreḿo centrum circuli perforetur, vt axis æneus cuiuſcunque longitu
              <lb/>
            dinis per foramen im mitti poſſit ad angulos rectos ipſi plano: </s>
            <s xml:id="echoid-s41656" xml:space="preserve">atque in plano A E F G, ſtatuatur
              <lb/>
            acus Magnete illita, vt beneficio ipſius horologium ita collocari poſſit in plano, quod Horizonti
              <lb/>
            æquidiſtet, vt A, ad boream, & </s>
            <s xml:id="echoid-s41657" xml:space="preserve">F, ad auſtrum vergat, lateraq́ue per E, & </s>
            <s xml:id="echoid-s41658" xml:space="preserve">G, ducta meridianam li-
              <lb/>
            neam referant. </s>
            <s xml:id="echoid-s41659" xml:space="preserve">Hunc enim ſitum obtinente horologio, ſi planum A B C D, firmetur in quadran
              <lb/>
            te H I K, ad altitudinem Aequatoris, indicabit axis horas à mer. </s>
            <s xml:id="echoid-s41660" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s41661" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s41662" xml:space="preserve">in exteriori quidem
              <lb/>
            facie plani A B C D, Sole exiſtente in ſemicirculo Eclipticæ boreali, in interiori vero, eodem exi-
              <lb/>
              <note position="left" xlink:label="note-0651-01" xlink:href="note-0651-01a" xml:space="preserve">10</note>
            ſtente in auſtrali ſemicirculo Eclipticæ. </s>
            <s xml:id="echoid-s41663" xml:space="preserve">Si autem excindatur pars intra circulum, relicta tantum
              <lb/>
            portione L M, vt cẽtrum cum axe ſuſtineat, apparebit vmbra axis in horis faciei exterioris, etiamſi
              <lb/>
            Sol in ſignis auſtralibus exiſtat. </s>
            <s xml:id="echoid-s41664" xml:space="preserve">Quòd ſi imponatur alius circulus mobilis intra priorem, diui-
              <lb/>
            ſus in 24. </s>
            <s xml:id="echoid-s41665" xml:space="preserve">horas æquales ab or. </s>
            <s xml:id="echoid-s41666" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s41667" xml:space="preserve">ponaturq́; </s>
            <s xml:id="echoid-s41668" xml:space="preserve">hora meridiei, more Italorum, vel Babylonio-
              <lb/>
            rum, ſupra rectam A C, verſus punctum A, indicabit eiuſdem axis vmbra horas ab or. </s>
            <s xml:id="echoid-s41669" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s41670" xml:space="preserve">in
              <lb/>
            hoc poſteriori circulo.</s>
            <s xml:id="echoid-s41671" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s41672" xml:space="preserve">LOCO quadrantis H I K, confici poterit ſcala latitudinum regionum hoc modo. </s>
            <s xml:id="echoid-s41673" xml:space="preserve">Deſcripto
              <lb/>
              <note position="right" xlink:label="note-0651-02" xlink:href="note-0651-02a" xml:space="preserve">Con@tructio ſea
                <lb/>
              læ latitudinum
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              regionum.</note>
            ſemicirculo ex centro A, cuius ſemidiameter A B, diametrum ad rectos angulos ſecans æqualis
              <lb/>
            ſit vni lateri quadrati A B C D, eoq́ue diuiſo in 180. </s>
            <s xml:id="echoid-s41674" xml:space="preserve">partes æquales, (Nos in. </s>
            <s xml:id="echoid-s41675" xml:space="preserve">18. </s>
            <s xml:id="echoid-s41676" xml:space="preserve">diuiſimus, vt
              <lb/>
              <note position="left" xlink:label="note-0651-03" xlink:href="note-0651-03a" xml:space="preserve">20</note>
              <figure xlink:label="fig-0651-01" xlink:href="fig-0651-01a" number="421">
                <image file="0651-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0651-01"/>
              </figure>
              <note position="left" xlink:label="note-0651-04" xlink:href="note-0651-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0651-05" xlink:href="note-0651-05a" xml:space="preserve">40</note>
            ſingulæ partes complectantur grad. </s>
            <s xml:id="echoid-s41677" xml:space="preserve">10.) </s>
            <s xml:id="echoid-s41678" xml:space="preserve">ſi bina puncta à puncto B, æqualiter remota rectis linei@
              <lb/>
            occultis iungantur, ſecabitur recta A B, in 90@ partes inæquales pro 90. </s>
            <s xml:id="echoid-s41679" xml:space="preserve">gradibus altitudinum poli,
              <lb/>
              <note position="left" xlink:label="note-0651-06" xlink:href="note-0651-06a" xml:space="preserve">50</note>
            quorum numerus à puncto A, incipit. </s>
            <s xml:id="echoid-s41680" xml:space="preserve">Si igitur partes rectæ A B, transferantur in quadratum
              <lb/>
            A E F G, prope latus per E, ductum, facto initio à communi ſectione quadratorum A B C D,
              <lb/>
            A E F G, & </s>
            <s xml:id="echoid-s41681" xml:space="preserve">in diametro B D, prope punctum B, ſtylus annectatur volubilis, qui dimidio vnius
              <lb/>
            lateris quadrati ſit æqualis, parata erit ſcala latitudinum regionum. </s>
            <s xml:id="echoid-s41682" xml:space="preserve">Si enim extremum illius ſty-
              <lb/>
            li ſtatuatur in eo numero graduum, qui altitudinem poli (non Aequatoris) indicat, eleuatum erit
              <lb/>
            quadratum A B C D, ſecundum altitudinem Aequatoris, ac proinde Aequatorem referet, ſicut
              <lb/>
              <note position="right" xlink:label="note-0651-07" xlink:href="note-0651-07a" xml:space="preserve">Compofitio dio
                <lb/>
              ptræ, per quam
                <lb/>
              ſine acu Magne
                <lb/>
              te illita horolo-
                <lb/>
              gium proprium
                <lb/>
              ſitum habeat, &
                <lb/>
              hora indicetur
                <lb/>
              ſine axe.</note>
            prius, cum in quadrante H I K, eleuabatur ſecundum altitudinem Aequatoris, aut ſecundum com
              <lb/>
            plementum altitudinis poli.</s>
            <s xml:id="echoid-s41683" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s41684" xml:space="preserve">QVOD ſi vti nolimus acu Magnete illita, paranda erit dioptra cum linea fiduciæ, quæ nos
              <lb/>
            in cognitionem lineæ meridianæ, & </s>
            <s xml:id="echoid-s41685" xml:space="preserve">horæ ſine axe per centrum quadrati A B C D, immiſſo, ducet,
              <lb/>
            hac ratione. </s>
            <s xml:id="echoid-s41686" xml:space="preserve">Linea fiduciæ C D, æqualis ſit diametro quadrati A B C D, ita vt circa </s>
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