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-s28860" xml:space="preserve">
              <pb o="440" file="0456" n="456" rhead="GNOMONICES"/>
            ſecet circumferentiam circuli in I. </s>
            <s xml:id="echoid-s28861" xml:space="preserve">Demiſſa enim ex I, ad B D, perpendicularis I G, dabit longitu-
              <lb/>
            dinem ſtyli, eiusq́ue locus erit in G; </s>
            <s xml:id="echoid-s28862" xml:space="preserve">vt paulo ante oſtendimus in horologi
              <unsure/>
            o horizontali.</s>
            <s xml:id="echoid-s28863" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28864" xml:space="preserve">QVOD ſi detur locus duntaxat ſtyli in G, reperiemus omnia alia hoc modo. </s>
            <s xml:id="echoid-s28865" xml:space="preserve">Deſcripto ſemi
              <lb/>
            circulo, vt prius, B I D, erigemus ad lineam meridianam ex G, loco ſtyli perpendicularem G I, quę
              <lb/>
            circulum ſecet in I, ducemusq́ue rectas I B, I A. </s>
            <s xml:id="echoid-s28866" xml:space="preserve">Nam G I, erit longitudo ſtyli; </s>
            <s xml:id="echoid-s28867" xml:space="preserve">I B G, angulus alti
              <lb/>
            tudinis poli ſupra planum; </s>
            <s xml:id="echoid-s28868" xml:space="preserve">& </s>
            <s xml:id="echoid-s28869" xml:space="preserve">I A G, angulus inclinationis, vt ex dictis liquet. </s>
            <s xml:id="echoid-s28870" xml:space="preserve">Vnde, vt prius, alti-
              <lb/>
            tudinem poli ſupra Horizontem colligemus.</s>
            <s xml:id="echoid-s28871" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28872" xml:space="preserve">OFFERATVR tandem nono horologium & </s>
            <s xml:id="echoid-s28873" xml:space="preserve">declinans à Verticali, & </s>
            <s xml:id="echoid-s28874" xml:space="preserve">ad Horizontem in-
              <lb/>
              <note position="left" xlink:label="note-0456-01" xlink:href="note-0456-01a" xml:space="preserve">Explicatio pro-
                <lb/>
              blematis propo
                <lb/>
              fiti in horolo-
                <lb/>
              gio declinante
                <lb/>
              ſimul ac incli-
                <lb/>
              @ato.</note>
            clinatum (cognoſcemus autem huiuſmodi horologium, ſi linea horizontalis neque æquinoctia-
              <lb/>
            li lineæ, vt in inclinatis ad Horizontem, neque lineæ meridianæ, vt in declinantibus ab Hori-
              <lb/>
              <note position="left" xlink:label="note-0456-02" xlink:href="note-0456-02a" xml:space="preserve">10</note>
            zonte, parallela eſt, neque meridianam lineam ad angulos rectos ſecat, neque ſtylus in horizon-
              <lb/>
            tali linea collo
              <unsure/>
            catur, vt in declinantibns à Verticali) in quo linea meridiana E ε; </s>
            <s xml:id="echoid-s28875" xml:space="preserve">æquinoctialis
              <lb/>
            G H; </s>
            <s xml:id="echoid-s28876" xml:space="preserve">horizontalis H M; </s>
            <s xml:id="echoid-s28877" xml:space="preserve">ſtylus K L; </s>
            <s xml:id="echoid-s28878" xml:space="preserve">eiuſque locus in K. </s>
            <s xml:id="echoid-s28879" xml:space="preserve">Ante omnia conſiderandum hic quoque
              <lb/>
              <figure xlink:label="fig-0456-01" xlink:href="fig-0456-01a" number="303">
                <image file="0456-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0456-01"/>
              </figure>
              <note position="left" xlink:label="note-0456-03" xlink:href="note-0456-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0456-04" xlink:href="note-0456-04a" xml:space="preserve">30</note>
            eſt, vt in præcedenti horologio, num propoſitũ horlogium ad meridiem ſpectet, an ad boream;
              <lb/>
            </s>
            <s xml:id="echoid-s28880" xml:space="preserve">quod quidem eodem modo cognoſcemus. </s>
            <s xml:id="echoid-s28881" xml:space="preserve">Deinde ex K, loco ſtyli ad lineam horizontalem per-
              <lb/>
              <note position="left" xlink:label="note-0456-05" xlink:href="note-0456-05a" xml:space="preserve">40</note>
            pendicularis excitetur K M, & </s>
            <s xml:id="echoid-s28882" xml:space="preserve">ad hancalia perpendicularis K N, ſtylo K L, æqualis, iungaturq́ue
              <lb/>
            recta N M. </s>
            <s xml:id="echoid-s28883" xml:space="preserve">Erit enim K M N, angulus inclinationis plani propoſiti ad Horizontem. </s>
            <s xml:id="echoid-s28884" xml:space="preserve">Rurſus ex
              <lb/>
            loco ſtyli ad lineam indicis erigatur perpendidularis K I, ſtylo etiã æqualis, & </s>
            <s xml:id="echoid-s28885" xml:space="preserve">per I, & </s>
            <s xml:id="echoid-s28886" xml:space="preserve">centrũ ho-
              <lb/>
            rologii ρ, (Inuenietur autem linea ſtyli, ſi ex K, ad æquinoctialem lineam perpendicularis duca-
              <lb/>
            tur K G: </s>
            <s xml:id="echoid-s28887" xml:space="preserve">centrum autem horlogii punctum erit, vbi linea meridiana lineam ſtyli interſecat)
              <lb/>
            ducatur recta I ρ e, quæ axis mundi erit. </s>
            <s xml:id="echoid-s28888" xml:space="preserve">Quod ſi horologium centro careat, quod tunc demum
              <lb/>
            continget, cum linea ſtyli, & </s>
            <s xml:id="echoid-s28889" xml:space="preserve">meridiana ſunt parallelæ, ducenda erit per I, linea æquidiſtans lineæ
              <lb/>
            meridianæ, & </s>
            <s xml:id="echoid-s28890" xml:space="preserve">lineæ ſtyli pro axe mundi. </s>
            <s xml:id="echoid-s28891" xml:space="preserve">Poſt hæc ſumpto vtcunque puncto χ, in linea ſtyli, du-
              <lb/>
            catur per illud ad horizontalem lineam perpendicularis E D, ſecans meridianam lineam in E,
              <lb/>
            puncto, in quo conſtituatur cum E D, angulus inclinationis plani D E γ, & </s>
            <s xml:id="echoid-s28892" xml:space="preserve">ad E γ, ex D,
              <lb/>
              <note position="left" xlink:label="note-0456-06" xlink:href="note-0456-06a" xml:space="preserve">50</note>
            puncto vt libet aſſumpto in recta E D, excitetur perpendicularis D γ. </s>
            <s xml:id="echoid-s28893" xml:space="preserve">Abſciſſa autem E δ, ipſi E γ,
              <lb/>
            æquali, ducantur per puncta D, δ, ad D E, duæ perpendi culares D ε, δ θ, quarum D ε, meri-
              <lb/>
            dianam ſecet in ε. </s>
            <s xml:id="echoid-s28894" xml:space="preserve">Per ε, quoque ducta ipſi D E, parallela ſecet δ θ, in θ, atque ex E, per θ, recta
              <lb/>
            emittatur E θ. </s>
            <s xml:id="echoid-s28895" xml:space="preserve">Nam θ E D, erit angulus declinationis plani à Verticali circulo. </s>
            <s xml:id="echoid-s28896" xml:space="preserve">Præterea ex α, vbi
              <lb/>
            linea horæ 6. </s>
            <s xml:id="echoid-s28897" xml:space="preserve">à meridie, vel media nocte rectam A B, quę per E, horizontali lineæ parallela du-
              <lb/>
            citur, interſecat, (eſt autem hora 6
              <unsure/>
            . </s>
            <s xml:id="echoid-s28898" xml:space="preserve">ducenda per ρ, centrum horologii, & </s>
            <s xml:id="echoid-s28899" xml:space="preserve">per punctum H, vbi
              <lb/>
            horizontalis linea, & </s>
            <s xml:id="echoid-s28900" xml:space="preserve">ęquinoctialis ſe interſecant; </s>
            <s xml:id="echoid-s28901" xml:space="preserve">vel certè per punctum H, parallela ducenda eſt
              <lb/>
            lineę meridianę, quando centro caret horologium) excitetur ad lineam declinationis E θ, per-
              <lb/>
            pendicularis α F. </s>
            <s xml:id="echoid-s28902" xml:space="preserve">Poſtremo ad A B, in E, conſtituatur B E φ, angulus inclinationis, deorſum qui-
              <lb/>
            dem in planis ad boream ſpectantibus, ſurſum autem in iis, quę meridiem reſpiciunt, & </s>
            <s xml:id="echoid-s28903" xml:space="preserve"/>
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