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-div130" type="section" level="1" n="38">
          <p>
            <s xml:id="echoid-s2535" xml:space="preserve">
              <pb o="38" file="0058" n="58" rhead="GNOMONICES"/>
            A B C D, eoſdem habeant polos) incedentes, atque per centrum E, (quòd omnes circuli maximi
              <lb/>
            per polos paralleli A B C D, tranſeuntes ipſum diuidant bifariam, hoc eſt, per centrum, & </s>
            <s xml:id="echoid-s2536" xml:space="preserve">ad an-
              <lb/>
            gulos rectos, per propoſ. </s>
            <s xml:id="echoid-s2537" xml:space="preserve">15. </s>
            <s xml:id="echoid-s2538" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2539" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2540" xml:space="preserve">Theodoſii) in partes 24. </s>
            <s xml:id="echoid-s2541" xml:space="preserve">æquales, ita vt Meridianus tranſeat per
              <lb/>
              <figure xlink:label="fig-0058-01" xlink:href="fig-0058-01a" number="42">
                <image file="0058-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0058-01"/>
              </figure>
              <note position="left" xlink:label="note-0058-01" xlink:href="note-0058-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0058-02" xlink:href="note-0058-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0058-03" xlink:href="note-0058-03a" xml:space="preserve">30</note>
            rectam A C. </s>
            <s xml:id="echoid-s2542" xml:space="preserve">Dico hos circulos maximos indicare horas æquales à meridie, vel media nocte nu-
              <lb/>
              <note position="left" xlink:label="note-0058-04" xlink:href="note-0058-04a" xml:space="preserve">40</note>
            meratas. </s>
            <s xml:id="echoid-s2543" xml:space="preserve">Cum enim tranſeant per polos Aequatoris, & </s>
            <s xml:id="echoid-s2544" xml:space="preserve">parallelorũ omniũ, ſecabunt omnes paral-
              <lb/>
            lelos, per propoſ. </s>
            <s xml:id="echoid-s2545" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2546" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2547" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2548" xml:space="preserve">Theodoſii, in partes ſimiles: </s>
            <s xml:id="echoid-s2549" xml:space="preserve">Ac propterea cùm partes paralleli A B C D,
              <lb/>
            ponantur æquales, erunt & </s>
            <s xml:id="echoid-s2550" xml:space="preserve">partes cuiuslibet paralleli inter ſe æquales. </s>
            <s xml:id="echoid-s2551" xml:space="preserve">Quare illas Sol motu diur-
              <lb/>
            no æqualibus 24. </s>
            <s xml:id="echoid-s2552" xml:space="preserve">temporibus percurret, initio facto à meridie, vel media nocte: </s>
            <s xml:id="echoid-s2553" xml:space="preserve">Sed 24. </s>
            <s xml:id="echoid-s2554" xml:space="preserve">hæc tem
              <lb/>
            pora æqualia, horæ ſunt æquales 24. </s>
            <s xml:id="echoid-s2555" xml:space="preserve">à meridie, vel media nocte inchoatæ. </s>
            <s xml:id="echoid-s2556" xml:space="preserve">Igitur circuli illi ma-
              <lb/>
            ximi, horas æquales 24. </s>
            <s xml:id="echoid-s2557" xml:space="preserve">à meridie, vel media nocte numeratas indicant. </s>
            <s xml:id="echoid-s2558" xml:space="preserve">Ac propterea circuli ma-
              <lb/>
            ximi in ſphæra, quorum vnus ſit Meridianus, &</s>
            <s xml:id="echoid-s2559" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2560" xml:space="preserve">quod erat demonſtrandum.</s>
            <s xml:id="echoid-s2561" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Circuli dimi-
            <lb/>
          diatas partes,
            <lb/>
          quartas, octa-
            <lb/>
          uas, &c. horarũ
            <lb/>
          à mer, uel med.
            <lb/>
          noc. indicantes.</note>
        </div>
        <div xml:id="echoid-div133" type="section" level="1" n="39">
          <head xml:id="echoid-head42" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s2562" xml:space="preserve">QVOD ſi ſingula ſpatia æqualia paralleli A B C D, bifariam ſecentur, & </s>
            <s xml:id="echoid-s2563" xml:space="preserve">hæc dimidia rurſum bi-
              <lb/>
              <note position="left" xlink:label="note-0058-06" xlink:href="note-0058-06a" xml:space="preserve">50</note>
            fariam, & </s>
            <s xml:id="echoid-s2564" xml:space="preserve">ſic deinceps, ducantur autem per diuiſiones, & </s>
            <s xml:id="echoid-s2565" xml:space="preserve">polos paralleli A B C D, circuli maximi, indi-
              <lb/>
            cabunt hi horas dimidias, quartas partes horarum, octauas, & </s>
            <s xml:id="echoid-s2566" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2567" xml:space="preserve">à meridie, vel media nocte. </s>
            <s xml:id="echoid-s2568" xml:space="preserve">Eadẽ enim
              <lb/>
              <note position="left" xlink:label="note-0058-07" xlink:href="note-0058-07a" xml:space="preserve">Horatii circuli
                <lb/>
              à mer. vel med.
                <lb/>
              noc.</note>
            eſt demonſtratio partium, at que horarum integrarum. </s>
            <s xml:id="echoid-s2569" xml:space="preserve">Hi autem circuli maximi recte Horarij à meri-
              <lb/>
            die, vel media nocte appellari poſſunt.</s>
            <s xml:id="echoid-s2570" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2571" xml:space="preserve">CAETERVM horum circulorum ſemicir culi inter duos polos mundi collocati, quos quidem om-
              <lb/>
              <note position="left" xlink:label="note-0058-08" xlink:href="note-0058-08a" xml:space="preserve">Qui ſemicircu-
                <lb/>
              li ad horas. à
                <lb/>
              meridie, & qui
                <lb/>
              ad horas à med.
                <lb/>
              noc. pertineant.</note>
            nes axis mundi dirimit, procedendo à Meridiani ſemicir culo ſupra Horizontem extante per occidentem
              <lb/>
            vſque ad ſemicirculum Meridiani infra Horizontem, indicant horas à meridie, reliqui verò ſemicirculi
              <lb/>
            eaſdem horas à media nocte, vt perſpicuum eſt. </s>
            <s xml:id="echoid-s2572" xml:space="preserve">Vnde non difficile erit cognoſcere, quænam puncta ma-
              <lb/>
            ximi parallelorum ſemper apparentium conueniant horis à meridie, & </s>
            <s xml:id="echoid-s2573" xml:space="preserve">quænam horis à media nocte de-
              <lb/>
            beantur. </s>
            <s xml:id="echoid-s2574" xml:space="preserve">Nam puncta in ſemicirculo A D C, ſi parallelus intelligatur Horizontẽ tangere in infimo pun-
              <lb/>
            cto verſus C, ita vt D, ad occaſum, & </s>
            <s xml:id="echoid-s2575" xml:space="preserve">B, ad ortum vergat, indicant horas à meridie, cum in illis </s>
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