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-s18852" xml:space="preserve">
              <pb o="278" file="0294" n="294" rhead="GNOMONICES"/>
            per p, horizontali lineæ, & </s>
            <s xml:id="echoid-s18853" xml:space="preserve">horæ 6. </s>
            <s xml:id="echoid-s18854" xml:space="preserve">parallela ducitur; </s>
            <s xml:id="echoid-s18855" xml:space="preserve">ita vt linea meridiana det nonageſimum
              <lb/>
            Verticalem.</s>
            <s xml:id="echoid-s18856" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s18857" xml:space="preserve">HVIVS rei hanc accipe demonſtrationem. </s>
            <s xml:id="echoid-s18858" xml:space="preserve">Intelligatur circulus ex e, deſcriptus circa ho-
              <lb/>
              <note position="left" xlink:label="note-0294-01" xlink:href="note-0294-01a" xml:space="preserve">Demonſtratio
                <lb/>
              deſcriptionis
                <lb/>
              circulorũ Ver-
                <lb/>
              ticalium.</note>
            rizontalem lineam conuerti, donec cum Horizonte coniungatur, ac propterea eius centrum e,
              <lb/>
              <figure xlink:label="fig-0294-01" xlink:href="fig-0294-01a" number="203">
                <image file="0294-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0294-01"/>
              </figure>
              <note position="left" xlink:label="note-0294-02" xlink:href="note-0294-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0294-03" xlink:href="note-0294-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0294-04" xlink:href="note-0294-04a" xml:space="preserve">30</note>
            cum centro mundi F, propter æqualitatem rectarum m F, m e. </s>
            <s xml:id="echoid-s18859" xml:space="preserve">Erunt rectæ ex centro e, egredien-
              <lb/>
            tes per puncta diuiſionum circuli, communes ſectiones Horizontis, & </s>
            <s xml:id="echoid-s18860" xml:space="preserve">circulorum Verticalium,
              <lb/>
            eò quòd Horizon, & </s>
            <s xml:id="echoid-s18861" xml:space="preserve">circulus ex e, centro mundi, ſeu Horizontis deſcriptus in partes ſimiles diui-
              <lb/>
            dantur à rectis ex centro egredientibus, vt ad finem cap 1. </s>
            <s xml:id="echoid-s18862" xml:space="preserve">in ſphæram demonſtrauimus: </s>
            <s xml:id="echoid-s18863" xml:space="preserve">certum
              <lb/>
            autem eſt, Horizontem, cuius centrum tunc eſt punctum F, vel e, à circulis Verticalibus in partes
              <lb/>
              <note position="left" xlink:label="note-0294-05" xlink:href="note-0294-05a" xml:space="preserve">40</note>
            æquales diuidi per rectas è centro emiſſas. </s>
            <s xml:id="echoid-s18864" xml:space="preserve">Occurrent igitur Verticales circuli plano horologij
              <lb/>
            in illis punctis lineæ horizontalis, in quæ cadunt rectæ illæ occultæ ex e, emiſſæ. </s>
            <s xml:id="echoid-s18865" xml:space="preserve">Quapropter cũ,
              <lb/>
            per propoſ. </s>
            <s xml:id="echoid-s18866" xml:space="preserve">18. </s>
            <s xml:id="echoid-s18867" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s18868" xml:space="preserve">communes ſectiones circulorum Verticalium, & </s>
            <s xml:id="echoid-s18869" xml:space="preserve">plani horologij
              <lb/>
            coeant in puncto p, in quo communis illorum omnium ſectio, nempe axis Horizontis, plano ho-
              <lb/>
            rologij occurrit, erunt rectæ per p, & </s>
            <s xml:id="echoid-s18870" xml:space="preserve">puncta reperta in linea horizontali eductæ, communes ſe-
              <lb/>
            ctiones plani horologij, & </s>
            <s xml:id="echoid-s18871" xml:space="preserve">Verticalium circulorum. </s>
            <s xml:id="echoid-s18872" xml:space="preserve">Sola ſectio communis plani horologij, & </s>
            <s xml:id="echoid-s18873" xml:space="preserve">
              <lb/>
            Verticalis propriè dicti ducenda eſt lineæ horizontali, & </s>
            <s xml:id="echoid-s18874" xml:space="preserve">horæ 6. </s>
            <s xml:id="echoid-s18875" xml:space="preserve">parallela per p. </s>
            <s xml:id="echoid-s18876" xml:space="preserve">Cum enim Ver-
              <lb/>
            ticalis propriè dictus, Horizon, circulus horæ 6. </s>
            <s xml:id="echoid-s18877" xml:space="preserve">& </s>
            <s xml:id="echoid-s18878" xml:space="preserve">Aequator, cui planum horologij æquidiſtat,
              <lb/>
            habeant vnam eandemq́ue communem ſectionem, erunt per propoſ. </s>
            <s xml:id="echoid-s18879" xml:space="preserve">18. </s>
            <s xml:id="echoid-s18880" xml:space="preserve">vel per ſcholium pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s18881" xml:space="preserve">22. </s>
            <s xml:id="echoid-s18882" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s18883" xml:space="preserve">communes ſectiones priorum trium circulorum, & </s>
            <s xml:id="echoid-s18884" xml:space="preserve">plani horologij, qua-
              <lb/>
              <note position="left" xlink:label="note-0294-06" xlink:href="note-0294-06a" xml:space="preserve">50</note>
            les ſi
              <unsure/>
            i
              <unsure/>
            nt linea Verticalis, horizontalis, & </s>
            <s xml:id="echoid-s18885" xml:space="preserve">horæ 6. </s>
            <s xml:id="echoid-s18886" xml:space="preserve">inter ſe parallelæ. </s>
            <s xml:id="echoid-s18887" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s18888" xml:space="preserve">circulos Verticales in ho-
              <lb/>
            rologio eodem æquinoctiali delineauimus. </s>
            <s xml:id="echoid-s18889" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s18890" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div970" type="section" level="1" n="237">
          <head xml:id="echoid-head244" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s18891" xml:space="preserve">SI portio horologij abſciſſa à linea horizontali collocetur in facie inferiori plani, ita vt linea hori-
              <lb/>
              <note position="left" xlink:label="note-0294-07" xlink:href="note-0294-07a" xml:space="preserve">Quiomodo or-
                <lb/>
              tum habeat in-
                <lb/>
              ferius horolo-
                <lb/>
              gium cum Ver
                <lb/>
              ticalibus à ſu-
                <lb/>
              periori æquino
                <lb/>
              ctiali.</note>
            zontalis ſuperiorem locum teneat, & </s>
            <s xml:id="echoid-s18892" xml:space="preserve">pars, quæ in eo ſitu dextra est, mutetur in ſiniſtram, habebimus
              <lb/>
            coſdem Verticales circulos in horologio inferiori, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s18893" xml:space="preserve">14. </s>
            <s xml:id="echoid-s18894" xml:space="preserve">huius libri demonſtrauimus.
              <lb/>
            </s>
            <s xml:id="echoid-s18895" xml:space="preserve">Sed quoniam lineæ Verticales ad vtraſque partes meridianæ eundem ſitum, & </s>
            <s xml:id="echoid-s18896" xml:space="preserve">diſtantiam obtinent, non
              <lb/>
            erit neceſſarium, partem dextram in ſiniſtram mutari, & </s>
            <s xml:id="echoid-s18897" xml:space="preserve">contra.</s>
            <s xml:id="echoid-s18898" xml:space="preserve"/>
          </p>
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