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>
            <s xml:id="echoid-s33396" xml:space="preserve">
              <pb o="518" file="0534" n="534" rhead="GNOMONICES"/>
            rologii, & </s>
            <s xml:id="echoid-s33397" xml:space="preserve">circuli maximi inclinationem plani ad Horizontem metientis. </s>
            <s xml:id="echoid-s33398" xml:space="preserve">Inuento autẽ, per pro-
              <lb/>
              <note position="left" xlink:label="note-0534-01" xlink:href="note-0534-01a" xml:space="preserve">Deſcriptio horo
                <lb/>
              logii declinãtis
                <lb/>
              à mer. in occ.gr.
                <lb/>
              10. & ad Horizõ
                <lb/>
              tẽ inclinati gr.
                <lb/>
              70. ex tabulis.</note>
            poſ. </s>
            <s xml:id="echoid-s33399" xml:space="preserve">31. </s>
            <s xml:id="echoid-s33400" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s33401" xml:space="preserve">1. </s>
            <s xml:id="echoid-s33402" xml:space="preserve">arcu circuli maximi, cui horologium æquidiſtat, inter circulum maximum, qui in-
              <lb/>
            clinationem plani metitur, & </s>
            <s xml:id="echoid-s33403" xml:space="preserve">Meridianum proprium horologii interiecto, quem in propoſito ho
              <lb/>
            rologio reperimus eſſe gr. </s>
            <s xml:id="echoid-s33404" xml:space="preserve">16. </s>
            <s xml:id="echoid-s33405" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s33406" xml:space="preserve">22. </s>
            <s xml:id="echoid-s33407" xml:space="preserve">computabimus eum à D, verſus ortum, ſiue punctum B,
              <lb/>
            vt in præcedenti horologio diximus, cum hoc horologium declinet à mer. </s>
            <s xml:id="echoid-s33408" xml:space="preserve">in occ. </s>
            <s xml:id="echoid-s33409" xml:space="preserve">vſq; </s>
            <s xml:id="echoid-s33410" xml:space="preserve">ad F. </s>
            <s xml:id="echoid-s33411" xml:space="preserve">Nam
              <lb/>
            recta F C G, erit linea ſtyli, ſeu communis ſectio plani horologii, & </s>
            <s xml:id="echoid-s33412" xml:space="preserve">Meridiani proprii ipſius ho-
              <lb/>
              <note position="left" xlink:label="note-0534-02" xlink:href="note-0534-02a" xml:space="preserve">Linea ſtyli.</note>
            rologii. </s>
            <s xml:id="echoid-s33413" xml:space="preserve">A recta autem K L, rectam F G, ad rectos angulos ſecante numerandæ erunt latitudines
              <lb/>
            vmbrarum, cum ea ſit communis ſectio plani horologii, & </s>
            <s xml:id="echoid-s33414" xml:space="preserve">Verticalis proprii eiuſdem horologii.
              <lb/>
            </s>
            <s xml:id="echoid-s33415" xml:space="preserve">Diuiſa deinde recta H I, in partes quotcunque ſtylo æquales, vt in antecedentibus, inuentaq́ue al-
              <lb/>
            titudine poli ſupra circulum maximum, cui horologium æquidiſtat, quæ in dato horologio con-
              <lb/>
              <note position="left" xlink:label="note-0534-03" xlink:href="note-0534-03a" xml:space="preserve">10</note>
            tinet gr. </s>
            <s xml:id="echoid-s33416" xml:space="preserve">25. </s>
            <s xml:id="echoid-s33417" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33418" xml:space="preserve">18. </s>
            <s xml:id="echoid-s33419" xml:space="preserve">ac propterea eius complementum gr. </s>
            <s xml:id="echoid-s33420" xml:space="preserve">64. </s>
            <s xml:id="echoid-s33421" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33422" xml:space="preserve">42. </s>
            <s xml:id="echoid-s33423" xml:space="preserve">ſi ex C, loco ſtyli deorſum ver
              <lb/>
            ſus in recta C F, (vt in præcedenti horologio diximus) numeretur longitudo vmbræ P. </s>
            <s xml:id="echoid-s33424" xml:space="preserve">5. </s>
            <s xml:id="echoid-s33425" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33426" xml:space="preserve">40.
              <lb/>
            </s>
            <s xml:id="echoid-s33427" xml:space="preserve">reſpondens inuentę altitudini poli, vſque ad H, erit recta H I, ducta ad F G, perpendicularis, linea
              <lb/>
              <note position="left" xlink:label="note-0534-04" xlink:href="note-0534-04a" xml:space="preserve">Linea æquino-
                <lb/>
              ctialis.</note>
            æquinoctialis. </s>
            <s xml:id="echoid-s33428" xml:space="preserve">Quòd ſi ex C, in propoſito exemplo ſurſum verſus in linea F G, ſupputetur lon-
              <lb/>
            gitudo vmbræ P. </s>
            <s xml:id="echoid-s33429" xml:space="preserve">25. </s>
            <s xml:id="echoid-s33430" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33431" xml:space="preserve">23. </s>
            <s xml:id="echoid-s33432" xml:space="preserve">reſpondens altitudini poli inuentæ, reperietur M, centrum horolo-
              <lb/>
              <note position="left" xlink:label="note-0534-05" xlink:href="note-0534-05a" xml:space="preserve">Cen rum horo-
                <lb/>
              logii.</note>
            gii, ita vt recta N O, ſecans F G, in M, ad angulos rectos ſit inſtar lineæ horæ 6. </s>
            <s xml:id="echoid-s33433" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s33434" xml:space="preserve">& </s>
            <s xml:id="echoid-s33435" xml:space="preserve">med.
              <lb/>
            </s>
            <s xml:id="echoid-s33436" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s33437" xml:space="preserve">à
              <unsure/>
            qua arcus horarii pro horis computati numerandi erunt. </s>
            <s xml:id="echoid-s33438" xml:space="preserve">Inuenientur autem eadem duo
              <lb/>
            puncta H, M, per angulum altitudinis poli inuentæ C P H, & </s>
            <s xml:id="echoid-s33439" xml:space="preserve">complementi eiuſdem C P M, vt in
              <lb/>
            ſuperioribus, ſi C P, in recta K L, ſtylo accipiatur æqualis.</s>
            <s xml:id="echoid-s33440" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">20</note>
          <figure number="326">
            <image file="0534-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0534-01"/>
          </figure>
          <note position="left" xml:space="preserve">30</note>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s33441" xml:space="preserve">LINEÆ horariæ ducentur hic, vt in præcedentibus, ſi à punctis K, L, numerentur latitudi-
              <lb/>
            nes vmbrarum, ſuperiores quidem verſus punctum G, & </s>
            <s xml:id="echoid-s33442" xml:space="preserve">inferiores verſus F; </s>
            <s xml:id="echoid-s33443" xml:space="preserve">orientales item à
              <lb/>
            puncto L, & </s>
            <s xml:id="echoid-s33444" xml:space="preserve">occidentales à puncto K, &</s>
            <s xml:id="echoid-s33445" xml:space="preserve">c. </s>
            <s xml:id="echoid-s33446" xml:space="preserve">vt in appoſita ſigura cernitur. </s>
            <s xml:id="echoid-s33447" xml:space="preserve">Pro hora autem 1. </s>
            <s xml:id="echoid-s33448" xml:space="preserve">in-
              <lb/>
            æquali, quod nullum punctum habet in tropico ♋, vel linea æquinoctiali, ſed ſolum punctum
              <lb/>
            Q, in tropico ♑, inueſtigauimus in parallelo ♐, & </s>
            <s xml:id="echoid-s33449" xml:space="preserve">♒, ex eius latitudine vmbræ orientali L R, & </s>
            <s xml:id="echoid-s33450" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0534-09" xlink:href="note-0534-09a" xml:space="preserve">50</note>
            inferiori, vel eius oppoſita K S; </s>
            <s xml:id="echoid-s33451" xml:space="preserve">Item ex longitudine eiuſdem vmbræ P. </s>
            <s xml:id="echoid-s33452" xml:space="preserve">38. </s>
            <s xml:id="echoid-s33453" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33454" xml:space="preserve">15. </s>
            <s xml:id="echoid-s33455" xml:space="preserve">punctum T, ita
              <lb/>
            vt recta QT, per puncta Q, & </s>
            <s xml:id="echoid-s33456" xml:space="preserve">T, eiecta indicet horam 1. </s>
            <s xml:id="echoid-s33457" xml:space="preserve">inæqualem. </s>
            <s xml:id="echoid-s33458" xml:space="preserve">Horizontalis vero linea eſt
              <lb/>
              <note position="left" xlink:label="note-0534-10" xlink:href="note-0534-10a" xml:space="preserve">Lineal horizon-
                <lb/>
              g
                <unsure/>
              alia.</note>
            ipſamet linea horæ 12. </s>
            <s xml:id="echoid-s33459" xml:space="preserve">inæqualis, cum hac hora Sol oriatur, ac occidat, hoc eſt, exiſtat in Hori-
              <lb/>
            zonte. </s>
            <s xml:id="echoid-s33460" xml:space="preserve">Pro qua hora matutina, cum in tropico ♑, Sol oritur, inuenimus punctum V, pro ve-
              <lb/>
            ſpertina vero, cum Sol in eodem tropico occidit, reperimus punctum X, necnon in linea æqui-
              <lb/>
            noctiali punctum I. </s>
            <s xml:id="echoid-s33461" xml:space="preserve">Hæcautem linea horizontalis, ſiue horæ 12. </s>
            <s xml:id="echoid-s33462" xml:space="preserve">inæqualis per tria inuenta pun-
              <lb/>
            cta V, X, I, ducta ſecabit neceſſario rectam D E, ad angulos rectos, ſi nuſquam erratum eſt. </s>
            <s xml:id="echoid-s33463" xml:space="preserve">In ho-
              <lb/>
            rologio Aſtronomico, vel Italico, Babylonicove tranſibit eadem linea per illud punctum, vbi hora
              <lb/>
            6. </s>
            <s xml:id="echoid-s33464" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s33465" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s33466" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s33467" xml:space="preserve">aut hora 12. </s>
            <s xml:id="echoid-s33468" xml:space="preserve">abor vel occ. </s>
            <s xml:id="echoid-s33469" xml:space="preserve">æquinoctialem lineam interſecat: </s>
            <s xml:id="echoid-s33470" xml:space="preserve">quod quidem
              <lb/>
            ſemper erit punctum I. </s>
            <s xml:id="echoid-s33471" xml:space="preserve">Porro ſi longitudo vmbræ Par. </s>
            <s xml:id="echoid-s33472" xml:space="preserve">4. </s>
            <s xml:id="echoid-s33473" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33474" xml:space="preserve">22. </s>
            <s xml:id="echoid-s33475" xml:space="preserve">reſpondens inclinationi plani ad
              <lb/>
            Horizontem transferatur à C, ſurſum verſus in recta D E, vſque ad Z, ducenda eſt per Z, linea </s>
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