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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          <p style="it">
            <s xml:id="echoid-s22568" xml:space="preserve">
              <pb o="338" file="0354" n="354" rhead="GNOMONICES"/>
            horologii: </s>
            <s xml:id="echoid-s22569" xml:space="preserve">vel certè ſi triangulum C I G, rectum ſiatuatur ad horologij planum, vmbra axis C I, hor{as}
              <lb/>
            indicabit, veluti in ſuperioribus dictum eſt.</s>
            <s xml:id="echoid-s22570" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s22571" xml:space="preserve">SI inipſo plano declinante ab Horizonte, quod ſtabile ſit, quale eſſet tectum aliquod directè ortum,
              <lb/>
              <note position="left" xlink:label="note-0354-01" xlink:href="note-0354-01a" xml:space="preserve">Q@i
                <unsure/>
              ratloae
                <lb/>
              @n plano @abili
                <lb/>
              declinante ab
                <lb/>
              Horizonte de-
                <lb/>
              ſcribendum ſit
                <lb/>
              borologium.</note>
            vel occaſum reſpiciens, ita vt neque in meridiem, neque in borcam deflecteret, (quod qua ratione ſit ex-
              <lb/>
            plorandum, docuimus propoſ. </s>
            <s xml:id="echoid-s22572" xml:space="preserve">23. </s>
            <s xml:id="echoid-s22573" xml:space="preserve">primi libri) borologium ſit deſcribendum, non au
              <unsure/>
            @@m in quouis alio pla-
              <lb/>
            no, ex quo in planum declinans transferatur, vt in hac propoſ. </s>
            <s xml:id="echoid-s22574" xml:space="preserve">feci@@us, ducenda erit in plano declinan-
              <lb/>
            te recta C D, Horizonti æquidiſtans pro linea meridiana, & </s>
            <s xml:id="echoid-s22575" xml:space="preserve">ad eam perpendicularis excitanda A B,
              <lb/>
            reliqua autem conſtruenda, vt in primo modo dixim{us}. </s>
            <s xml:id="echoid-s22576" xml:space="preserve">Quòd ſi poſterioribus duobus modis rem per age-
              <lb/>
            re malueris, ducenda quo que erit ante omnia pro linea meridiana recta C D, Horizonti æquid@ſtans, de-
              <lb/>
            inde ducenda recta C P, it @ vt rectæ C D, C P, inter cipiant arcum D P, vt in tertio modo dictum eſt,
              <lb/>
              <note position="left" xlink:label="note-0354-02" xlink:href="note-0354-02a" xml:space="preserve">10</note>
            verſus quid@m partes orient ales horologii ſuperioris, & </s>
            <s xml:id="echoid-s22577" xml:space="preserve">occaſum reſpicientis; </s>
            <s xml:id="echoid-s22578" xml:space="preserve">verſus autem occidentales
              <lb/>
            partes ſuperioris horologii, & </s>
            <s xml:id="echoid-s22579" xml:space="preserve">ſpect antis ad ortum, & </s>
            <s xml:id="echoid-s22580" xml:space="preserve">c. </s>
            <s xml:id="echoid-s22581" xml:space="preserve">Reliqua omnia fiãt omnino, vt in propoſ. </s>
            <s xml:id="echoid-s22582" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22583" xml:space="preserve">huius
              <lb/>
            libri præcepimus, hoc eſt, ducatur ad C P, linea G H, perpendicularis pro linea æquinoctiali, & </s>
            <s xml:id="echoid-s22584" xml:space="preserve">c.</s>
            <s xml:id="echoid-s22585" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s22586" xml:space="preserve">S I lineamenta horologij ſuperioris ad occaſum ſpectantis ordinem inter ſe permutent, vt ſiniſtra in
              <lb/>
              <note position="left" xlink:label="note-0354-03" xlink:href="note-0354-03a" xml:space="preserve">Quo pa@o ex
                <lb/>
              horologio ad
                <lb/>
              occaſum ſpectã
                <lb/>
              te fiat aliud ſpe
                <lb/>
              ctã@ ad ortum,
                <lb/>
              & contra.</note>
            dextra, & </s>
            <s xml:id="echoid-s22587" xml:space="preserve">dextra in ſiniſtra con@ertantur, (vocamus autem nunc partem dextram, ſinistramve, quæ
              <lb/>
            nobis ad horologium conuerſis, & </s>
            <s xml:id="echoid-s22588" xml:space="preserve">ad a@ſtrum, dextra eſt, vel ſiniſtra) adeo vt eum ſitum nanciſcantur,
              <lb/>
            quem haberent in facie oppoſita plani deſcripta, it a vt ſingulæ lineæ ſingulis lineis congruerent; </s>
            <s xml:id="echoid-s22589" xml:space="preserve">confe-
              <lb/>
            ctum erit horologium aliud ſuperius ad ortum ſpectans, totidemq́, gradib{us}, quot illud, ab Horizonte
              <lb/>
            declinans: </s>
            <s xml:id="echoid-s22590" xml:space="preserve">commutatis tamen horarum numeris in earundem complementa vſque ad 12 qu@madmodũ
              <lb/>
            de horologio declinante à Verticali diximus in ſcbolio propoſ. </s>
            <s xml:id="echoid-s22591" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22592" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s22593" xml:space="preserve">Eadem enim demonstratio
              <lb/>
              <note position="left" xlink:label="note-0354-04" xlink:href="note-0354-04a" xml:space="preserve">20</note>
            huc accommodari poterit. </s>
            <s xml:id="echoid-s22594" xml:space="preserve">Eadem ratione ex horologio ſuperiori ad ortum ſpectante conſlruetur aliud
              <lb/>
            ſuperius ſpectans ad occaſum, ſi illa permutatio linearum, & </s>
            <s xml:id="echoid-s22595" xml:space="preserve">horarum fiat. </s>
            <s xml:id="echoid-s22596" xml:space="preserve">Idem{q́ue} dicendum est de in-
              <lb/>
            feriori horologio.</s>
            <s xml:id="echoid-s22597" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s22598" xml:space="preserve">IAM verò ſi horologium ſuperius quodcunque inuertatur, ita vt nobis conuerſis ad ipſum verſus
              <lb/>
              <note position="left" xlink:label="note-0354-05" xlink:href="note-0354-05a" xml:space="preserve">Qua ratione ex
                <lb/>
              Superiore horo
                <lb/>
              logio declin an
                <lb/>
              teab Horizon-
                <lb/>
              te gignatur In-
                <lb/>
              ferius horolo-
                <lb/>
              gium in facie
                <lb/>
              oppoſita plani
                <lb/>
              horologii de-
                <lb/>
              ſcribeadum.</note>
            ortum, ſi in occaſum ſpectet, aut verſus occaſum, ſi ſpectet in ortum, pars ſuperior fiat inferior, & </s>
            <s xml:id="echoid-s22599" xml:space="preserve">con-
              <lb/>
            tra; </s>
            <s xml:id="echoid-s22600" xml:space="preserve">(quę mutatio facile percipietur, ſi intelligatur planum horologii circa rectam C D, circumuolui, do-
              <lb/>
            nec lineamenta ipſius ad Nadir ſpectent, iaceant{q́ue} in facie plani oppoſita, ac inferiori) & </s>
            <s xml:id="echoid-s22601" xml:space="preserve">quæ in eo ſitu
              <lb/>
            nobis iterum ad horologium ex altera parte plani conuerſis dextra est, euadat ſiniſtra, & </s>
            <s xml:id="echoid-s22602" xml:space="preserve">è contrario;
              <lb/>
            </s>
            <s xml:id="echoid-s22603" xml:space="preserve">confectum erit horologium inferius eiuſdem declinationis ab Horizonte, ſed in facie plani oppoſita, & </s>
            <s xml:id="echoid-s22604" xml:space="preserve">
              <lb/>
            inferiori collocandum, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s22605" xml:space="preserve">13. </s>
            <s xml:id="echoid-s22606" xml:space="preserve">ſuperioris libri demonſtratum eſt. </s>
            <s xml:id="echoid-s22607" xml:space="preserve">Hoc autem horolo-
              <lb/>
              <note position="left" xlink:label="note-0354-06" xlink:href="note-0354-06a" xml:space="preserve">30</note>
            gium inferius pulchrè exprimunt lineamenta ſuperioris horologii in facie oppoſita deſcripta, vt ſingulæ
              <lb/>
            lineæ ſingulis lineis congruant. </s>
            <s xml:id="echoid-s22608" xml:space="preserve">Nam hacfacta deſcriptione, ſi faciem oppoſitam ad nes conuertam{us},
              <lb/>
            ita vt centrum C, habemus ad dextram, ſi ſuperius horologium ad occaſum ſpecte; </s>
            <s xml:id="echoid-s22609" xml:space="preserve">vel ad ſiniſtram, ſi
              <lb/>
            ſuperius ortum reſpicit, obtinebimus inferius horologium in facie inferiori, & </s>
            <s xml:id="echoid-s22610" xml:space="preserve">oppoſita collocandum.</s>
            <s xml:id="echoid-s22611" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s22612" xml:space="preserve">IMMO eodem labore, & </s>
            <s xml:id="echoid-s22613" xml:space="preserve">opera, quemadmoaum de Verticali horologio declinante in ſcholio pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s22614" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22615" xml:space="preserve">huius libri diximus, quatuor horologia ab Horizonte declinantia inter ſe diuerſa, ſerua
              <unsure/>
            ta tamen
              <lb/>
            eadem ſemper quantitate inclinationis ad Horizontem, deſtribere licebit. </s>
            <s xml:id="echoid-s22616" xml:space="preserve">Si namque horologium ſupe-
              <lb/>
            rius declinans v. </s>
            <s xml:id="echoid-s22617" xml:space="preserve">g. </s>
            <s xml:id="echoid-s22618" xml:space="preserve">ab Horizonte verſus occaſum grad. </s>
            <s xml:id="echoid-s22619" xml:space="preserve">30. </s>
            <s xml:id="echoid-s22620" xml:space="preserve">deſcribamus, partem{q́ue} eius dextram mute-
              <lb/>
            mus in ſiniſtrã, (vocamus nunc partem dextrã, quæ nobis ad horologiũ conuerſis verſus ortum, ſi ipſum
              <lb/>
            ad occaſum ſpectet, vel verſus occaſum, ſi ad ortum portineat, dextra cſt) ex qua quidẽ mutatione fit, vt
              <lb/>
              <note position="left" xlink:label="note-0354-07" xlink:href="note-0354-07a" xml:space="preserve">40</note>
            pars etiam ſup
              <unsure/>
            erior fiat inferior, & </s>
            <s xml:id="echoid-s22621" xml:space="preserve">centrum C, ad boream vergat, ſi nimirum mutatio hæc in inſtitua-
              <lb/>
            tur, vt horologium moueri intelligatur circa eius axem, nempe stylum I K; </s>
            <s xml:id="echoid-s22622" xml:space="preserve">deſcriptum erit quoque ho-
              <lb/>
            rologium inferius ad occaſum ſpectans ab Horizonte declinans grad 30. </s>
            <s xml:id="echoid-s22623" xml:space="preserve">Si verò eiuſdem horologii ſupe-
              <lb/>
            rioris omnia lineamenta defcribantur in alio plano, ita vt quæ ſunt ad dextram ipſius lineæ meridianę
              <lb/>
            C D, fiant ſiniſtra, & </s>
            <s xml:id="echoid-s22624" xml:space="preserve">quę ad ſiniſtram, dextra; </s>
            <s xml:id="echoid-s22625" xml:space="preserve">aut (quod idem eſt) quæ ſita ſunt vltra lineam meridia-
              <lb/>
            nam verſus ortum, collocentur ve rſus occaſum, & </s>
            <s xml:id="echoid-s22626" xml:space="preserve">contra, conſtructum erit aliud horologium ſuperius
              <lb/>
            ortum Solis reſpiciens, & </s>
            <s xml:id="echoid-s22627" xml:space="preserve">ab Horizonte declinans grad. </s>
            <s xml:id="echoid-s22628" xml:space="preserve">30. </s>
            <s xml:id="echoid-s22629" xml:space="preserve">commutatis horarum numeris in earum
              <lb/>
            complementa vſque ad 12. </s>
            <s xml:id="echoid-s22630" xml:space="preserve">Huiuſm
              <unsure/>
            odi ſunt lineamenta ſuperioris horologii ad occaſum ſpectantis in par
              <lb/>
            te oppoſita, & </s>
            <s xml:id="echoid-s22631" xml:space="preserve">inferiori deſcripta, vt ſingulæ lineæ ſingulis lineis reſpondeant, dummodo ita ſtatuatur in
              <lb/>
            plano ſuperiori, quod ad ortum ſpectat, vt eadem pars, in quam cadit hora 6. </s>
            <s xml:id="echoid-s22632" xml:space="preserve">occupet ſuperiorem locũ.
              <lb/>
            </s>
            <s xml:id="echoid-s22633" xml:space="preserve">
              <note position="left" xlink:label="note-0354-08" xlink:href="note-0354-08a" xml:space="preserve">50</note>
            Si denique non ſolum lineamenta orientalia fiant occidentalia, & </s>
            <s xml:id="echoid-s22634" xml:space="preserve">contra, ſed & </s>
            <s xml:id="echoid-s22635" xml:space="preserve">pars ſuperior mutetur
              <lb/>
            in inferiorem, & </s>
            <s xml:id="echoid-s22636" xml:space="preserve">è contrario, ita vt centrum C, rurſus in boream vergat, fabricatum erit horologium
              <lb/>
            inferius ad ortum ſpectans. </s>
            <s xml:id="echoid-s22637" xml:space="preserve">Eadem ratione, ſi deſcribatur horologium ſuperius orientale, deducemus ex
              <lb/>
            eo alia tria ciuſdem declinationis. </s>
            <s xml:id="echoid-s22638" xml:space="preserve">Quæ omnia ex ijs, quæ ad finem ſcholii propoſ. </s>
            <s xml:id="echoid-s22639" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22640" xml:space="preserve">huius libri ſcripſimus,
              <lb/>
            facile colligi poſſunt, cuius etiam ſcholii postrema figura refert typum horologii ſuperioris ad ortum ſpc-
              <lb/>
            ctantis, quod ab Horizonte declinat grad. </s>
            <s xml:id="echoid-s22641" xml:space="preserve">30. </s>
            <s xml:id="echoid-s22642" xml:space="preserve">ſed ad latitudinem loci grad. </s>
            <s xml:id="echoid-s22643" xml:space="preserve">48. </s>
            <s xml:id="echoid-s22644" xml:space="preserve">quia in eo conſtruendo cõ
              <lb/>
            ſtitutus eſt angulus E β C, in figura propoſ. </s>
            <s xml:id="echoid-s22645" xml:space="preserve">1. </s>
            <s xml:id="echoid-s22646" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s22647" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s22648" xml:space="preserve">42. </s>
            <s xml:id="echoid-s22649" xml:space="preserve">quanta nimirum eſt altitudo poli ſupra
              <lb/>
            Verticalem circulum in regione, cuius latitudo continet grad. </s>
            <s xml:id="echoid-s22650" xml:space="preserve">48.</s>
            <s xml:id="echoid-s22651" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s22652" xml:space="preserve">CAETERVM tam Superius horologium orientale, quàm Inferius ſtatim horas monſlrat, orien-
              <lb/>
            te Sole, licet plures horæ in Superiore contineantur, quàm in Inferiore. </s>
            <s xml:id="echoid-s22653" xml:space="preserve">Tam autem Superius, quàm
              <lb/>
            Inferius occidentale horas indicat vſque ad Solis occaſum; </s>
            <s xml:id="echoid-s22654" xml:space="preserve">ita vt tam orientale Superius, & </s>
            <s xml:id="echoid-s22655" xml:space="preserve"/>
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