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="40" file="0060" n="60" rhead="GNOMONICES"/>
        </div>
        <div xml:id="echoid-div142" type="section" level="1" n="41">
          <head xml:id="echoid-head44" xml:space="preserve">COROLLARIVM.</head>
          <p>
            <s xml:id="echoid-s2662" xml:space="preserve">EX his ſequitur, polos circulorum horas ab ortu, vel occaſu monſtrantium diuidere parallelum per
              <lb/>
              <note position="left" xlink:label="note-0060-01" xlink:href="note-0060-01a" xml:space="preserve">Poli circulorũ
                <lb/>
              horas ab or uel
                <lb/>
              otc. indicantiũ
                <lb/>
              partiuntur pa-
                <lb/>
              rallelũ per ver-
                <lb/>
              ticem loci de-
                <lb/>
              ſeriptum in 24.
                <lb/>
              partes æquales.</note>
            verticem loci, ſiue polum Horizontis deſcriptum in partes 24. </s>
            <s xml:id="echoid-s2663" xml:space="preserve">æquales, initio facto à Meridia no circulo:
              <lb/>
            </s>
            <s xml:id="echoid-s2664" xml:space="preserve">quia & </s>
            <s xml:id="echoid-s2665" xml:space="preserve">puncta, vbi dictus parallelus à circulis horarum à meridie, vel media nocte ſecatur, quæ quidem
              <lb/>
            poli ſunt circulorum horas ab ortu, vel occaſu monſtrantium, vt oſtendimus, eundem parallelum in par-
              <lb/>
            tes 24. </s>
            <s xml:id="echoid-s2666" xml:space="preserve">æquales ſecant, initio facto à Meridiano circulo, vt conſtat ex propos. </s>
            <s xml:id="echoid-s2667" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2668" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2669" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2670" xml:space="preserve">Theodoſii.</s>
            <s xml:id="echoid-s2671" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div144" type="section" level="1" n="42">
          <head xml:id="echoid-head45" style="it" xml:space="preserve">SCHOLIVM.</head>
          <note position="left" xml:space="preserve">10</note>
          <p style="it">
            <s xml:id="echoid-s2672" xml:space="preserve">VT autem videas, quonam modo partes illæ parallelorum intercipiantur inter duos ſemicirculos
              <lb/>
              <note position="left" xlink:label="note-0060-03" xlink:href="note-0060-03a" xml:space="preserve">Quomodo in
                <lb/>
              circulis horatũ
                <lb/>
              ab or. uel occ.
                <lb/>
              ſumantur ſemi
                <lb/>
              circuli noa con
                <lb/>
              currentes.</note>
            proximos non concurrentes; </s>
            <s xml:id="echoid-s2673" xml:space="preserve">Sint paralleli quotcunque; </s>
            <s xml:id="echoid-s2674" xml:space="preserve">A B C, ſemper apparentium maximus; </s>
            <s xml:id="echoid-s2675" xml:space="preserve">D E F,
              <lb/>
            parallelus ♋; </s>
            <s xml:id="echoid-s2676" xml:space="preserve">G H I, Aequator; </s>
            <s xml:id="echoid-s2677" xml:space="preserve">& </s>
            <s xml:id="echoid-s2678" xml:space="preserve">K L M, parallelus ♑. </s>
            <s xml:id="echoid-s2679" xml:space="preserve">Sumantur in A B C, ſpatia horarum æqua-
              <lb/>
            lia C N, N O, & </s>
            <s xml:id="echoid-s2680" xml:space="preserve">in punctis C, N, O, parallelum A B C, tangant maximi circuli C P H Q, N R S T,
              <lb/>
            O V X Γ, quorum C P H Q, ſit
              <lb/>
              <figure xlink:label="fig-0060-01" xlink:href="fig-0060-01a" number="43">
                <image file="0060-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0060-01"/>
              </figure>
            Horizon. </s>
            <s xml:id="echoid-s2681" xml:space="preserve">Secent aut ſe mutuo
              <lb/>
            C P H Q, N R S T, in Z, & </s>
            <s xml:id="echoid-s2682" xml:space="preserve">α;
              <lb/>
            </s>
            <s xml:id="echoid-s2683" xml:space="preserve">erunt{q́ue} per propoſ. </s>
            <s xml:id="echoid-s2684" xml:space="preserve">11. </s>
            <s xml:id="echoid-s2685" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s2686" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2687" xml:space="preserve">
              <lb/>
            Theodoſii, Z Q α, Z T α, ſemi-
              <lb/>
            circuli, & </s>
            <s xml:id="echoid-s2688" xml:space="preserve">idcirco P Q α, ſemi-
              <lb/>
              <note position="left" xlink:label="note-0060-04" xlink:href="note-0060-04a" xml:space="preserve">20</note>
            circulo minor. </s>
            <s xml:id="echoid-s2689" xml:space="preserve">Sumatur arcus
              <lb/>
            α β, arcui P Z, & </s>
            <s xml:id="echoid-s2690" xml:space="preserve">arcus α γ,
              <lb/>
            arcui Z δ, æqualis; </s>
            <s xml:id="echoid-s2691" xml:space="preserve">eruntq́, P Q
              <lb/>
            α β, δ Z T γ, ſemicirculi non
              <lb/>
            concurrentes, cum mutuo ſe non
              <lb/>
            interſecent. </s>
            <s xml:id="echoid-s2692" xml:space="preserve">Eadem ratione, ſi
              <lb/>
            circuli N R S T, O V X Y, ſe
              <lb/>
            mutuo ſecent in @, & </s>
            <s xml:id="echoid-s2693" xml:space="preserve">θ, ſuma-
              <lb/>
            tur{q́ue} arcus θλ, arcui V ε, æqua-
              <lb/>
            lis, erunt δ Z T γ, V Y θ λ,
              <lb/>
              <note position="left" xlink:label="note-0060-05" xlink:href="note-0060-05a" xml:space="preserve">30</note>
            ſemicirculi nõ coeuntes, vt con-
              <lb/>
            ſtat. </s>
            <s xml:id="echoid-s2694" xml:space="preserve">Eodemq́, modo in circu-
              <lb/>
            lis reliquis maximis parallelum
              <lb/>
            A B C, tangentibus in reliquis
              <lb/>
            ſpatijs horarijs æqualibus inue-
              <lb/>
            niemus ſemicirculos non concur-
              <lb/>
            rentes. </s>
            <s xml:id="echoid-s2695" xml:space="preserve">Spatia igitur P R, R V,
              <lb/>
            H S, S X, Q T, T Y, & </s>
            <s xml:id="echoid-s2696" xml:space="preserve">reli-
              <lb/>
            qua huiuſmodi diximus ſpatijs
              <lb/>
            horarijs C N, N O, & </s>
            <s xml:id="echoid-s2697" xml:space="preserve">alijs eſſe
              <lb/>
              <note position="left" xlink:label="note-0060-06" xlink:href="note-0060-06a" xml:space="preserve">40</note>
            ſimilia, & </s>
            <s xml:id="echoid-s2698" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2699" xml:space="preserve">at que adeo ſpatia
              <lb/>
            cuiuslibet paralleli æqualia in-
              <lb/>
              <note position="left" xlink:label="note-0060-07" xlink:href="note-0060-07a" xml:space="preserve">Circuli dimi-
                <lb/>
              diatas partes,
                <lb/>
              quartas, octa-
                <lb/>
              uas, &c. horarũ
                <lb/>
              ab or. vel occ.
                <lb/>
              monſtrantes.</note>
            ter ſe eſſe, quemadmodum & </s>
            <s xml:id="echoid-s2700" xml:space="preserve">C N, N O, & </s>
            <s xml:id="echoid-s2701" xml:space="preserve">reliqua ſpatia paralleli A B C, æqualia ſunt inter ſe.</s>
            <s xml:id="echoid-s2702" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2703" xml:space="preserve">QVOD ſi alij circuli maximi tangant eundem parallelum in punctis alijs, quibus diuiditur à circu-
              <lb/>
            lis horarijs à meridie, vel media nocte dimidias horas, quartas partes horarum, octauas, & </s>
            <s xml:id="echoid-s2704" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2705" xml:space="preserve">indicanti-
              <lb/>
            bus, indicabunt hi horas dimidias, quartas horarum partes, octauas, & </s>
            <s xml:id="echoid-s2706" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2707" xml:space="preserve">ab ortu, vel occaſu. </s>
            <s xml:id="echoid-s2708" xml:space="preserve">Eadem
              <lb/>
            enim eſt demonſtratio partium, at que horarum integrarum. </s>
            <s xml:id="echoid-s2709" xml:space="preserve">Hi autem circuli non ineptè Horarij ab ortu,
              <lb/>
              <note position="left" xlink:label="note-0060-08" xlink:href="note-0060-08a" xml:space="preserve">Horarii circuli
                <lb/>
              ab or. uel occ.</note>
            vel occaſu poſſunt appellari.</s>
            <s xml:id="echoid-s2710" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2711" xml:space="preserve">HORVM porrò circulorum ſemicir culi inter bina puncta contactuum poſiti, quorum vnum ſemper
              <lb/>
            eſt horæ alicuius à meridie, & </s>
            <s xml:id="echoid-s2712" xml:space="preserve">alterum horæ eiuſdem à media nocte, vt patet exijs, quæ in ſcholio præce-
              <lb/>
              <note position="left" xlink:label="note-0060-09" xlink:href="note-0060-09a" xml:space="preserve">Qui ſemicirculi
                <lb/>
              ad horas ab or-
                <lb/>
              tu, & qui ad ho-
                <lb/>
              ras ab occaſu
                <lb/>
              pertineant.</note>
              <note position="left" xlink:label="note-0060-10" xlink:href="note-0060-10a" xml:space="preserve">50</note>
            dentis propoſ. </s>
            <s xml:id="echoid-s2713" xml:space="preserve">ſcripſimus, procedendo per puncta horaria æquinoctialis circuli infra Horizontem, initio
              <lb/>
            facto à ſemicirculo Horizontis occidentali, procedendo{q́ue} ab ortu in occaſum, ſeu contra ſucceſſionem
              <lb/>
            ſignorum, pertinent ad horas ab occaſu inchoatas, ita vt ſemicirculus Horizontis occidentalis indicet
              <lb/>
            horam 24. </s>
            <s xml:id="echoid-s2714" xml:space="preserve">ab occaſu, ſemicirculus autem proximus occidentalis infra Horizontem dct horam primam
              <lb/>
            ab occaſu, & </s>
            <s xml:id="echoid-s2715" xml:space="preserve">ſequens ad partes occidentales horam ſecundã, & </s>
            <s xml:id="echoid-s2716" xml:space="preserve">ita deinceps, procedendo ſemper verſus
              <lb/>
            occidentales partes, ſeu contra ſucceſſionem ſignorum, donec iterum ad ſemicirculum Horizontis occi-
              <lb/>
            dentalem reuertamur. </s>
            <s xml:id="echoid-s2717" xml:space="preserve">Reliqui autem ſemicirculi, qui incedunt per puncta horaria æquinoctialis circuli
              <lb/>
            ſupra Horizontem, initio facto à ſemicirculo Horizontis orient ali, procedendoq́, ab ortu in occaſum, hoc
              <lb/>
            eſt, contra ſucceſſionem ſignorum, ad horas ab ortu Solis ſpectant, ita vt ſemicirculus Horizontis orier-
              <lb/>
            talis monſtret horam 24. </s>
            <s xml:id="echoid-s2718" xml:space="preserve">ab ortu, proximus autem ſemicirculus orient alis ſupra Horizontem exhibeat
              <lb/>
            @oram primam ab ortu, & </s>
            <s xml:id="echoid-s2719" xml:space="preserve">ſequens contra ſucceſſionem ſignorum horam ſecundam, & </s>
            <s xml:id="echoid-s2720" xml:space="preserve">ita deinceps, </s>
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