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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        <div xml:id="echoid-div1683" type="section" level="1" n="444">
          <p>
            <s xml:id="echoid-s32946" xml:space="preserve">
              <pb o="511" file="0527" n="527" rhead="LIBER QVINTVS."/>
            titudinis poli, hoc eſt, conueniens altitudini Solis in Æquatore, & </s>
            <s xml:id="echoid-s32947" xml:space="preserve">proprio Meridiano horolo-
              <lb/>
            gij conſtituto, eàque beneficio circini ex recta H I, accepta in rectam C D, deorſum verſus tranſ-
              <lb/>
            feratur vſque ad I, erit recta I K, per I, ducta ad D E, perpendicularis, linea æquinoctialis; </s>
            <s xml:id="echoid-s32948" xml:space="preserve">quæ
              <lb/>
              <note position="right" xlink:label="note-0527-01" xlink:href="note-0527-01a" xml:space="preserve">Aequinoctialis
                <lb/>
              linea quomodo
                <lb/>
              ducatur.</note>
              <figure xlink:label="fig-0527-01" xlink:href="fig-0527-01a" number="323">
                <image file="0527-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0527-01"/>
              </figure>
              <note position="left" xlink:label="note-0527-02" xlink:href="note-0527-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0527-03" xlink:href="note-0527-03a" xml:space="preserve">20</note>
            neceſſario, ſi erratum non eſt, rectam C K, quæ ad A B, perpendicularis ducitur, eſtq́ue, vt propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s32949" xml:space="preserve">
              <note position="left" xlink:label="note-0527-04" xlink:href="note-0527-04a" xml:space="preserve">30</note>
            16. </s>
            <s xml:id="echoid-s32950" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s32951" xml:space="preserve">3. </s>
            <s xml:id="echoid-s32952" xml:space="preserve">oſtenſum eſt, communis ſectio plani horologij, & </s>
            <s xml:id="echoid-s32953" xml:space="preserve">Verticalis proprie dicti ipſius Hori-
              <lb/>
            zontis, ſecat in puncto K, quod terminat vmbram horæ 6. </s>
            <s xml:id="echoid-s32954" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s32955" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s32956" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s32957" xml:space="preserve">aut horæ 12. </s>
            <s xml:id="echoid-s32958" xml:space="preserve">ab or.
              <lb/>
            </s>
            <s xml:id="echoid-s32959" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s32960" xml:space="preserve">Sole exiſtente in Æquatore, quæ quidẽ vmbra in præcedẽti tabula continet P. </s>
            <s xml:id="echoid-s32961" xml:space="preserve">20. </s>
            <s xml:id="echoid-s32962" xml:space="preserve">M. </s>
            <s xml:id="echoid-s32963" xml:space="preserve">47. </s>
            <s xml:id="echoid-s32964" xml:space="preserve">
              <lb/>
            Rurſus ſi longitudo vmbræ P. </s>
            <s xml:id="echoid-s32965" xml:space="preserve">16. </s>
            <s xml:id="echoid-s32966" xml:space="preserve">M. </s>
            <s xml:id="echoid-s32967" xml:space="preserve">53. </s>
            <s xml:id="echoid-s32968" xml:space="preserve">reſpondens altitudini poli ſupra circulum maximum,
              <lb/>
            cui horologium æquidiſtat, transferatur à C, ſurſum verſus in rectam C E, vſque ad L, erit L,
              <lb/>
            centrum horologij. </s>
            <s xml:id="echoid-s32969" xml:space="preserve">Quod tamen, vna cum I, puncto æquinoctialis lineæ inueniemus, vt in præ-
              <lb/>
              <note position="right" xlink:label="note-0527-05" xlink:href="note-0527-05a" xml:space="preserve">Centrum horo-
                <lb/>
              logii.</note>
            cedentibus, ſi cum ſtylo C H, cõſtituamus angulum C H I, altitudinis poli ſupra circulum maxi-
              <lb/>
            mum, cui horologium æquidiſtat, & </s>
            <s xml:id="echoid-s32970" xml:space="preserve">alium angulum C H L, cõplementi eiuſdẽ altitudinis poli.
              <lb/>
            </s>
            <s xml:id="echoid-s32971" xml:space="preserve">Quòd ſi per M, ducatur ad D E, perpendicularis M N, erit hæc inſtar lineæ horæ 6. </s>
            <s xml:id="echoid-s32972" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s32973" xml:space="preserve">& </s>
            <s xml:id="echoid-s32974" xml:space="preserve">med. </s>
            <s xml:id="echoid-s32975" xml:space="preserve">
              <lb/>
            noc. </s>
            <s xml:id="echoid-s32976" xml:space="preserve">ſi ipſum horologiũ eſſet horizõtale, & </s>
            <s xml:id="echoid-s32977" xml:space="preserve">à qua numerãdi forentarcus horarij in circulo MPN,
              <lb/>
              <note position="left" xlink:label="note-0527-06" xlink:href="note-0527-06a" xml:space="preserve">40</note>
            ex L, deſcripto, ſi ſupputati eſſent. </s>
            <s xml:id="echoid-s32978" xml:space="preserve">Linea meridiana ducenda eſt ex L, ipſi A B, æquidiſtans, vel ad
              <lb/>
              <note position="right" xlink:label="note-0527-07" xlink:href="note-0527-07a" xml:space="preserve">Linea meridia-
                <lb/>
              na.</note>
            C K, perpendicularis, qualis eſt L O: </s>
            <s xml:id="echoid-s32979" xml:space="preserve">Similiter & </s>
            <s xml:id="echoid-s32980" xml:space="preserve">linea horizõtalis per punctũ K, vbi æquinoctia-
              <lb/>
              <note position="right" xlink:label="note-0527-08" xlink:href="note-0527-08a" xml:space="preserve">Linea horizon-
                <lb/>
              talis.</note>
            lis linea, & </s>
            <s xml:id="echoid-s32981" xml:space="preserve">recta C K, ad A B, ducta perpendicularis ſeſe interſecant, quod quidẽ punctũ, vt dixi-
              <lb/>
            mus, terminus eſt, atq; </s>
            <s xml:id="echoid-s32982" xml:space="preserve">finis vmbræ horæ 6. </s>
            <s xml:id="echoid-s32983" xml:space="preserve">à mer. </s>
            <s xml:id="echoid-s32984" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s32985" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s32986" xml:space="preserve">aut horæ 12. </s>
            <s xml:id="echoid-s32987" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s32988" xml:space="preserve">vel occ. </s>
            <s xml:id="echoid-s32989" xml:space="preserve">Sole
              <lb/>
            exiſtente in Æquatore. </s>
            <s xml:id="echoid-s32990" xml:space="preserve">Quod tamen punctũ K, reperietur etiã hoc modo. </s>
            <s xml:id="echoid-s32991" xml:space="preserve">In recta A B, ſumpta re-
              <lb/>
            cta C a, ſtylo æquali, & </s>
            <s xml:id="echoid-s32992" xml:space="preserve">in a, fiat angulus C a K, cõplemẽti declinationis ab Horizõte. </s>
            <s xml:id="echoid-s32993" xml:space="preserve">Recta enim
              <lb/>
            a K, ſecabit rectam C K, in puncto K, vbi hora 12. </s>
            <s xml:id="echoid-s32994" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s32995" xml:space="preserve">lineam æquinoctialem interſecat.</s>
            <s xml:id="echoid-s32996" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s32997" xml:space="preserve">IAM vero, ſi latitudines vmbrarũ in circulo A F D G, rite ſupputentur, oriẽtales quidẽ à pun
              <lb/>
            cto F, occidẽtales vero à puncto G, verſus boream B, aut verſus auſtrum A, prout tabellę indicant,
              <lb/>
            deſcribetur horologiũ hoc, ſicut & </s>
            <s xml:id="echoid-s32998" xml:space="preserve">præcedẽtia. </s>
            <s xml:id="echoid-s32999" xml:space="preserve">Ita vides, ex latitudine vmbræ F Q, orientali, ac
              <lb/>
              <note position="left" xlink:label="note-0527-09" xlink:href="note-0527-09a" xml:space="preserve">50</note>
            boreali, vel eius oppoſita G Q, gr. </s>
            <s xml:id="echoid-s33000" xml:space="preserve">19. </s>
            <s xml:id="echoid-s33001" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33002" xml:space="preserve">57. </s>
            <s xml:id="echoid-s33003" xml:space="preserve">quæ horæ 4. </s>
            <s xml:id="echoid-s33004" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33005" xml:space="preserve">in tropico ♋, debetur, atque ex lon-
              <lb/>
            gitudine vmbræ eiuſdẽ horæ P. </s>
            <s xml:id="echoid-s33006" xml:space="preserve">53. </s>
            <s xml:id="echoid-s33007" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33008" xml:space="preserve">11. </s>
            <s xml:id="echoid-s33009" xml:space="preserve">inuentum eſſe R, punctũ horæ 4. </s>
            <s xml:id="echoid-s33010" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33011" xml:space="preserve">in tropico ♋.
              <lb/>
            </s>
            <s xml:id="echoid-s33012" xml:space="preserve">Item ex F S, latitudine vmbræ orientali, auſtraliq́ue, gr. </s>
            <s xml:id="echoid-s33013" xml:space="preserve">13. </s>
            <s xml:id="echoid-s33014" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33015" xml:space="preserve">18. </s>
            <s xml:id="echoid-s33016" xml:space="preserve">vel eius oppoſita G S, eiuſ-
              <lb/>
            dem horæ 4. </s>
            <s xml:id="echoid-s33017" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33018" xml:space="preserve">in Æquatore, vel certe ex longitudine vmbræ P. </s>
            <s xml:id="echoid-s33019" xml:space="preserve">37. </s>
            <s xml:id="echoid-s33020" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33021" xml:space="preserve">9. </s>
            <s xml:id="echoid-s33022" xml:space="preserve">quæ eidem horæ
              <lb/>
            cõgruit in Æquatore, repertũ eſſe T, pro dicta hora in linea ęquinoctiali. </s>
            <s xml:id="echoid-s33023" xml:space="preserve">Deniq; </s>
            <s xml:id="echoid-s33024" xml:space="preserve">ex FV, latitudine
              <lb/>
            vmbræ orientali, & </s>
            <s xml:id="echoid-s33025" xml:space="preserve">auſtrali gr. </s>
            <s xml:id="echoid-s33026" xml:space="preserve">47. </s>
            <s xml:id="echoid-s33027" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33028" xml:space="preserve">21. </s>
            <s xml:id="echoid-s33029" xml:space="preserve">vel eius oppoſita G V, quæ eidẽ horæ 4. </s>
            <s xml:id="echoid-s33030" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33031" xml:space="preserve">reſpõdet
              <lb/>
            in tropico ♑; </s>
            <s xml:id="echoid-s33032" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s33033" xml:space="preserve">ex eiuſdẽ horæ vmbra P. </s>
            <s xml:id="echoid-s33034" xml:space="preserve">38. </s>
            <s xml:id="echoid-s33035" xml:space="preserve">M. </s>
            <s xml:id="echoid-s33036" xml:space="preserve">18. </s>
            <s xml:id="echoid-s33037" xml:space="preserve">deprehẽſum eſſe X, punctũ pro hora 4. </s>
            <s xml:id="echoid-s33038" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33039" xml:space="preserve">
              <lb/>
            in tropico ♑, &</s>
            <s xml:id="echoid-s33040" xml:space="preserve">c. </s>
            <s xml:id="echoid-s33041" xml:space="preserve">Tranſibit autẽ neceſſario hora 6. </s>
            <s xml:id="echoid-s33042" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33043" xml:space="preserve">per punctũ O, vbi linea meridiana æqui-
              <lb/>
            noctialem lineã ſecat. </s>
            <s xml:id="echoid-s33044" xml:space="preserve">Hora 14. </s>
            <s xml:id="echoid-s33045" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33046" xml:space="preserve">quia nimis procul æquinoctialem lineam ſecat, ducta eſt
              <lb/>
            per punctum in tropico ♋, inuentũ, & </s>
            <s xml:id="echoid-s33047" xml:space="preserve">per punctum Y, in quo linea horæ 10. </s>
            <s xml:id="echoid-s33048" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33049" xml:space="preserve">meridianam
              <lb/>
            lineam ſecat: </s>
            <s xml:id="echoid-s33050" xml:space="preserve">Et hora 15. </s>
            <s xml:id="echoid-s33051" xml:space="preserve">ab or. </s>
            <s xml:id="echoid-s33052" xml:space="preserve">ducta eſt per punctum in tropico ♋, inuentum, & </s>
            <s xml:id="echoid-s33053" xml:space="preserve">per punctũ </s>
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