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-div784" type="section" level="1" n="188">
          <p>
            <s xml:id="echoid-s15444" xml:space="preserve">
              <pb o="227" file="0247" n="247" rhead="LIBER SECVNDVS."/>
            toris; </s>
            <s xml:id="echoid-s15445" xml:space="preserve">cum horum circulorum & </s>
            <s xml:id="echoid-s15446" xml:space="preserve">Aequatoris communes ſectiones, ſecundum Ioan. </s>
            <s xml:id="echoid-s15447" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s15448" xml:space="preserve">Ae-
              <lb/>
            q uatorem, ac proinde & </s>
            <s xml:id="echoid-s15449" xml:space="preserve">circulum ſibi concentricũ ex E, deſcriptum partiantur in 12. </s>
            <s xml:id="echoid-s15450" xml:space="preserve">partes æqua-
              <lb/>
            les, tranſeantq́ue per centrum mundi, in quo nunc punctum E, ponitur. </s>
            <s xml:id="echoid-s15451" xml:space="preserve">Occurrent igitur eiuſmo
              <lb/>
              <figure xlink:label="fig-0247-01" xlink:href="fig-0247-01a" number="172">
                <image file="0247-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0247-01"/>
              </figure>
              <note position="left" xlink:label="note-0247-01" xlink:href="note-0247-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0247-02" xlink:href="note-0247-02a" xml:space="preserve">20</note>
            di eirculi plano horologii in punctis, in quibus lineam æquinoctialem ſecant rectæ per E, trãſmiſ-
              <lb/>
            ſæ; </s>
            <s xml:id="echoid-s15452" xml:space="preserve">atque adeo per eadem illa puncta æquinoctialis lineæ tranſibunt communes ſectiones plani
              <lb/>
              <note position="left" xlink:label="note-0247-03" xlink:href="note-0247-03a" xml:space="preserve">30</note>
            horologii, & </s>
            <s xml:id="echoid-s15453" xml:space="preserve">circulorum cœleſtium domorum: </s>
            <s xml:id="echoid-s15454" xml:space="preserve">Sed hæ communes ſectiones ſecant quoque ſe
              <lb/>
            mutuo in G, ex propoſ. </s>
            <s xml:id="echoid-s15455" xml:space="preserve">18. </s>
            <s xml:id="echoid-s15456" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15457" xml:space="preserve">quòd horum circulorum communis ſectio, nempe axis
              <lb/>
            Verticalis circuli, vel ſectio communis Horizontis, ac Meridiani, plano horologii occurrat in G,
              <lb/>
            vbi linea meridiana lineam horizontalem ſecat, vt perſpicuum eſt ex portione Analemmatis pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s15458" xml:space="preserve">13. </s>
            <s xml:id="echoid-s15459" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s15460" xml:space="preserve">Igitur rectæ ex G, per puncta æquinoctialis lineæ eductæ, communes ſectio-
              <lb/>
            nes erunt plani horologii, & </s>
            <s xml:id="echoid-s15461" xml:space="preserve">circulorum domorum cœleſtium. </s>
            <s xml:id="echoid-s15462" xml:space="preserve">Quod eſt propoſitum.</s>
            <s xml:id="echoid-s15463" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Deſcriptio cœ-
            <lb/>
          leſtium domo-
            <lb/>
          rum ſecundum
            <lb/>
          Campanum in
            <lb/>
          eodem Vertica
            <lb/>
          li horologio.</note>
          <p>
            <s xml:id="echoid-s15464" xml:space="preserve">AT verò ſecundum Campani opinionem, qui circulos domorum cœleſtium ducit per ſectio
              <lb/>
            nes communes Meridiani, & </s>
            <s xml:id="echoid-s15465" xml:space="preserve">Horizontis diuidentes Verticalem circulum propriè dictum in 12.
              <lb/>
            </s>
            <s xml:id="echoid-s15466" xml:space="preserve">partes æquales, ita propoſitum exequemur. </s>
            <s xml:id="echoid-s15467" xml:space="preserve">Ex G, loco ſtyli circulum cuiuſuis magnitudinis de-
              <lb/>
            ſcriptum in 12. </s>
            <s xml:id="echoid-s15468" xml:space="preserve">partes æquales diſtribuemus, initio facto à linea horizontali, vel meridiana. </s>
            <s xml:id="echoid-s15469" xml:space="preserve">Nam
              <lb/>
            rectæ ex G, per diuiſionum puncta emiſſæ dabunt domos cœleſtes, ſecundum Campanum Quod
              <lb/>
              <note position="left" xlink:label="note-0247-05" xlink:href="note-0247-05a" xml:space="preserve">40</note>
            ita oſtendemus.</s>
            <s xml:id="echoid-s15470" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Demonſtratio
            <lb/>
          poſterioris de-
            <lb/>
          ſcriptionis do-
            <lb/>
          morum cœle-
            <lb/>
          ſtium.</note>
          <p>
            <s xml:id="echoid-s15471" xml:space="preserve">QVONIAM circuli domorum cœleſtium ſecant Verticalem circulum, ſecundum Campa-
              <lb/>
            num, in partes æquales, initio facto à communi ſectione Verticalis, & </s>
            <s xml:id="echoid-s15472" xml:space="preserve">Horizontis, atque adeò, & </s>
            <s xml:id="echoid-s15473" xml:space="preserve">
              <lb/>
            circulum, quem planum horologii Verticali circulo æquidiſtans in ſphæra, per propoſ. </s>
            <s xml:id="echoid-s15474" xml:space="preserve">1. </s>
            <s xml:id="echoid-s15475" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s15476" xml:space="preserve">1.
              <lb/>
            </s>
            <s xml:id="echoid-s15477" xml:space="preserve">Theod. </s>
            <s xml:id="echoid-s15478" xml:space="preserve">facit, in totidem partes æquales diuidunt, initio facto à linea horizontali, nempe à com-
              <lb/>
            muni ſectione plani horologii, & </s>
            <s xml:id="echoid-s15479" xml:space="preserve">Horizontis, propterea quòd per polos Verticalis circuli tran-
              <lb/>
            ſeuntes diuidant per propoſ. </s>
            <s xml:id="echoid-s15480" xml:space="preserve">10. </s>
            <s xml:id="echoid-s15481" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s15482" xml:space="preserve">2. </s>
            <s xml:id="echoid-s15483" xml:space="preserve">Theodoſii, Verticalem, eiusq́; </s>
            <s xml:id="echoid-s15484" xml:space="preserve">parallelos in ſegmenta ſi-
              <lb/>
            milia; </s>
            <s xml:id="echoid-s15485" xml:space="preserve">efficitur, vt circuli domorum cœleſtium, atque adeò & </s>
            <s xml:id="echoid-s15486" xml:space="preserve">eorum, ac plani horologii commu
              <lb/>
            nes ſectiones, tranſeant per puncta diuiſionum circuli ex G, deſcripti; </s>
            <s xml:id="echoid-s15487" xml:space="preserve">(Nam punctum G, in quod
              <lb/>
            cadit axis Verticalis circuli, centrum eſt circuli ab horologii plano in ſphera procreati, per propoſ. </s>
            <s xml:id="echoid-s15488" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0247-07" xlink:href="note-0247-07a" xml:space="preserve">50</note>
            10. </s>
            <s xml:id="echoid-s15489" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s15490" xml:space="preserve">1. </s>
            <s xml:id="echoid-s15491" xml:space="preserve">Theodoſii, ac proinde circulus ille, & </s>
            <s xml:id="echoid-s15492" xml:space="preserve">quem ex G, deſcripſimus, in arcus ſimiles diui-
              <lb/>
            duntur à rectis lineis è centro G, egredientibus) ac propterea & </s>
            <s xml:id="echoid-s15493" xml:space="preserve">per punctum G, ex ´propoſ. </s>
            <s xml:id="echoid-s15494" xml:space="preserve">18.
              <lb/>
            </s>
            <s xml:id="echoid-s15495" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15496" xml:space="preserve">in quo nimirum communis ſectio circulorum domorum cœleſtium plano horolo-
              <lb/>
            gii occurrit, & </s>
            <s xml:id="echoid-s15497" xml:space="preserve">in quo r
              <unsure/>
            idem circuli ſe mutuo ſecant. </s>
            <s xml:id="echoid-s15498" xml:space="preserve">Rectæ ergo illæ ex G, emiſſæ per puncta di-
              <lb/>
            uiſionum circuli ex G, deſcripti, communes ſectiones erunt plani horologii, ac circulorum domo
              <lb/>
            rum cœleſtium, ſecundum Campanum. </s>
            <s xml:id="echoid-s15499" xml:space="preserve">Quare domos cœleſtes in eodem horologio Verticali de-
              <lb/>
            ſcripſimus. </s>
            <s xml:id="echoid-s15500" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s15501" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Qua ratione
            <lb/>
          parté
            <unsure/>
          s domorũ
            <lb/>
          cœleſtium in
            <lb/>
          eodem horolo-
            <lb/>
          gio Verticali de
            <lb/>
          ſcribantur.</note>
        </div>
        <div xml:id="echoid-div788" type="section" level="1" n="189">
          <head xml:id="echoid-head192" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s15502" xml:space="preserve">QVIA verò quęlibet domus cœleſtis cõtinet 30. </s>
            <s xml:id="echoid-s15503" xml:space="preserve">gradus, ſi quælibet pars duodecima circuli ex E, vel
              <lb/>
            G, deſeriptiin 30. </s>
            <s xml:id="echoid-s15504" xml:space="preserve">partes, vel pauciores æquales, pro magnitudine horologii, diuidatur, et reliquafiãt, </s>
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