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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              <pb o="110" file="0130" n="130" rhead="GNOMONICES"/>
              <figure xlink:label="fig-0130-01" xlink:href="fig-0130-01a" number="96">
                <image file="0130-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0130-01"/>
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              <note position="left" xlink:label="note-0130-01" xlink:href="note-0130-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0130-02" xlink:href="note-0130-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0130-03" xlink:href="note-0130-03a" xml:space="preserve">30</note>
            cum B D, angulos angulo B D E, hoc eſt, cõplemento altitudinis poli ęquales conſtituent. </s>
            <s xml:id="echoid-s6742" xml:space="preserve">Numeri in no-
              <lb/>
              <note position="left" xlink:label="note-0130-04" xlink:href="note-0130-04a" xml:space="preserve">2@. primi.</note>
            ſtra hac figura ijdem ſunt, qui in figura Andreę Schoneri. </s>
            <s xml:id="echoid-s6743" xml:space="preserve">Satis autẽ eſt, ſi recta E O, æqualis ſumatur ipſi
              <lb/>
            D P. </s>
            <s xml:id="echoid-s6744" xml:space="preserve">Nam puncta inuenta in recta P C, translata in rectam P A, initio ſemper facto a puncto P, dabunt
              <lb/>
            etiam puncta in recta P A, per quæ lineę declinationum ducendę ſunt; </s>
            <s xml:id="echoid-s6745" xml:space="preserve">propterea quòd dictæ parallelæ ais
              <lb/>
            ferunt ex P A, ſegmenta æqualia reſpondentibus ſegmentis rectæ P C: </s>
            <s xml:id="echoid-s6746" xml:space="preserve">nempe rectam P I, æqualem re-
              <lb/>
            ctæ P K, & </s>
            <s xml:id="echoid-s6747" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6748" xml:space="preserve">Quoniam enim in triangulis I L P, K G P, anguli alterni L, G, inter parallelas I L, G K,
              <lb/>
              <note position="left" xlink:label="note-0130-05" xlink:href="note-0130-05a" xml:space="preserve">29. primi.</note>
            æquales ſunt, & </s>
            <s xml:id="echoid-s6749" xml:space="preserve">anguli ad P, recti; </s>
            <s xml:id="echoid-s6750" xml:space="preserve">ſunt autem & </s>
            <s xml:id="echoid-s6751" xml:space="preserve">latera P L, P G, æqualia; </s>
            <s xml:id="echoid-s6752" xml:space="preserve">(Nam recta ducta M E,
              <lb/>
              <note position="left" xlink:label="note-0130-06" xlink:href="note-0130-06a" xml:space="preserve">40</note>
            ſecabitur in N, bifariam, propter æquales arcus A M, A E: </s>
            <s xml:id="echoid-s6753" xml:space="preserve">quod eadem demonſtratione probari po-
              <lb/>
            teſt, qua vſi ſumus in propoſ. </s>
            <s xml:id="echoid-s6754" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6755" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s6756" xml:space="preserve">ad oſtendendum, rectam M N, in Analemmate bifariam ſecari
              <lb/>
            in O. </s>
            <s xml:id="echoid-s6757" xml:space="preserve">Cum ergo in parallelogrammis P M, P E, latera P L, P G, oppoſitis lateribus N M, N E, ęqua
              <lb/>
              <note position="left" xlink:label="note-0130-07" xlink:href="note-0130-07a" xml:space="preserve">34. primi.</note>
            lia ſint, æquales erunt etiam rectæ P L, P G.) </s>
            <s xml:id="echoid-s6758" xml:space="preserve">erunt quoque latera P I, P K, inter ſe æqualia.</s>
            <s xml:id="echoid-s6759" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">26. primi.</note>
          <p style="it">
            <s xml:id="echoid-s6760" xml:space="preserve">QVEMADMODVM autem propoſ. </s>
            <s xml:id="echoid-s6761" xml:space="preserve">19. </s>
            <s xml:id="echoid-s6762" xml:space="preserve">& </s>
            <s xml:id="echoid-s6763" xml:space="preserve">20. </s>
            <s xml:id="echoid-s6764" xml:space="preserve">hui{us} lib. </s>
            <s xml:id="echoid-s6765" xml:space="preserve">tabul{as} cõfecimus AEQVINO-
              <lb/>
            CTIALIS LINEAE, LINEAE XXIIII. </s>
            <s xml:id="echoid-s6766" xml:space="preserve">ABORTV, VEL OCC ASV, & </s>
            <s xml:id="echoid-s6767" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s6768" xml:space="preserve">vt intelligeremus, quænam horæ ab ortu uel occaſu, & </s>
            <s xml:id="echoid-s6769" xml:space="preserve">à meridie vel media nocte ſe mutuo ſecent in vno
              <lb/>
              <note position="left" xlink:label="note-0130-09" xlink:href="note-0130-09a" xml:space="preserve">Tabulæ areuũ
                <lb/>
              diurnorum, &
                <lb/>
              nocturnorum,
                <lb/>
              ex quibus co-
                <lb/>
              guoſcitur, quæ-
                <lb/>
              n@ horæ à mer.
                <lb/>
              uel med noc. &
                <lb/>
              ab or uel occ ſe
                <lb/>
              mu uo interſe-
                <lb/>
              @ent in propo-
                <lb/>
              ſito arcu diur-
                <lb/>
              no, aut noctur-
                <lb/>
              @@.</note>
            eodem{q́ue} puncto illarum linearũ, ita hic proponemus octo alias tabulas arcuũ diurnorum, & </s>
            <s xml:id="echoid-s6770" xml:space="preserve">nocturnorũ,
              <lb/>
            vt ſciamus, quænam horæ ab ortu vel occaſu, et à meridic vel media nocte ſe mutuo ſecent in vno eodem{q́ue}
              <lb/>
            puncto illorum ar cuum in quouis horologio deſcriptorum. </s>
            <s xml:id="echoid-s6771" xml:space="preserve">Plurimum enim hæc res conducet ad deſcriptio
              <lb/>
              <note position="left" xlink:label="note-0130-10" xlink:href="note-0130-10a" xml:space="preserve">50</note>
            nem tam horarum ab ortu, & </s>
            <s xml:id="echoid-s6772" xml:space="preserve">occaſu, quàm inęqualium, vt ſuo loco manifestum erit. </s>
            <s xml:id="echoid-s6773" xml:space="preserve">Constructio autem
              <lb/>
            barum tabularũ ex arcubus diurnis, nocturniſq́, depromitur, vt ex ijs, quę mox dicemus, colligi poteſt. </s>
            <s xml:id="echoid-s6774" xml:space="preserve">In
              <lb/>
            hiſce. </s>
            <s xml:id="echoid-s6775" xml:space="preserve">n. </s>
            <s xml:id="echoid-s6776" xml:space="preserve">tabulis quelibet horæ vel ternæ vel binæ ſe mutuo ſecant in vno eodem{q́ue} puncto arcus illius diur-
              <lb/>
            ni, vel nocturni, quitabulę, in qua deſcriptæ ſunt, præponitur; </s>
            <s xml:id="echoid-s6777" xml:space="preserve">ita vt in quibus punctis horę aſtronomicæ,
              <lb/>
            ſiue a mer. </s>
            <s xml:id="echoid-s6778" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s6779" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s6780" xml:space="preserve">arcum diurnum, nocturnumue cuiuſuis tabulæ ſecant, in ijſdem omnino eundẽ ſe-
              <lb/>
            cent horę ab ortu, vel occaſu, quę illis horis aſtronomicis, ſiue a mer. </s>
            <s xml:id="echoid-s6781" xml:space="preserve">vel med. </s>
            <s xml:id="echoid-s6782" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s6783" xml:space="preserve">poſitę ſunt ad dexterã,
              <lb/>
            vel ſiniſtram. </s>
            <s xml:id="echoid-s6784" xml:space="preserve">Quod facile quiuis intelliget, ſi diligenter conſideret, qua hora à meridie, vel media nocte,
              <lb/>
            & </s>
            <s xml:id="echoid-s6785" xml:space="preserve">ab ortu, vel occaſu Sol oriatur in propoſito arcu diurno, aut in nocturno occidat. </s>
            <s xml:id="echoid-s6786" xml:space="preserve">Quoniam enim (vt
              <lb/>
            paucis aperiam, quo artificio ex ar cubus diurnis, nocturniſq́, huiuſmodi tabulæ ſint compoſitæ.) </s>
            <s xml:id="echoid-s6787" xml:space="preserve">die conti-
              <lb/>
            nente horas 10. </s>
            <s xml:id="echoid-s6788" xml:space="preserve">Sol oritur hora 7. </s>
            <s xml:id="echoid-s6789" xml:space="preserve">à media nocte, vt ſuperſint horæ 5. </s>
            <s xml:id="echoid-s6790" xml:space="preserve">vſque ad horam 12. </s>
            <s xml:id="echoid-s6791" xml:space="preserve">meridiei, & </s>
            <s xml:id="echoid-s6792" xml:space="preserve">
              <lb/>
            aliæ quinqu
              <unsure/>
            e ad occaſum Solis vſque; </s>
            <s xml:id="echoid-s6793" xml:space="preserve">Item hora 14. </s>
            <s xml:id="echoid-s6794" xml:space="preserve">ab occaſu, vt decem hore ſuperſint vſque ad </s>
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