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-div984" type="section" level="1" n="242">
          <p>
            <s xml:id="echoid-s19204" xml:space="preserve">
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            eſt, communes ſectiones plani horologij, & </s>
            <s xml:id="echoid-s19205" xml:space="preserve">circulorum domorum cœleſtium, per eadem puncta
              <lb/>
            incedent. </s>
            <s xml:id="echoid-s19206" xml:space="preserve">Cum ergo tranſeant etiam per punctum m, vt oſtendimus, erunt rectæ connectentes
              <lb/>
            dicta puncta ve@ticalis lineæ cum puncto m, lineæ domorum cœleſtium. </s>
            <s xml:id="echoid-s19207" xml:space="preserve">Quapropter domos
              <lb/>
            cœleſtes in eodem horologio æquinoctiali deſcripſimus. </s>
            <s xml:id="echoid-s19208" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s19209" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div989" type="section" level="1" n="243">
          <head xml:id="echoid-head250" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s19210" xml:space="preserve">SI lineæ domorum cœleſtium ſuperioris horologij vltra lineam horizontalem producantur, deſcri-
              <lb/>
              <note position="left" xlink:label="note-0300-01" xlink:href="note-0300-01a" xml:space="preserve">Quomodo do-
                <lb/>
              mus cœleſtes vl
                <lb/>
              tra lineam ho-
                <lb/>
              rizontalẽ pro-
                <lb/>
              ductæ exhibeãt
                <lb/>
              eaſdem domos
                <lb/>
              in horologio in
                <lb/>
              feriori.</note>
            ptæ erunt quoque earundem domorum lineæ in horologio inferiori; </s>
            <s xml:id="echoid-s19211" xml:space="preserve">ſi tamen omnes partes portionis ho-
              <lb/>
            rologij, quam horizontalis linea aufert, inuertantur, vt in præcedentibus dictum est, at que in fcholio
              <lb/>
              <note position="left" xlink:label="note-0300-02" xlink:href="note-0300-02a" xml:space="preserve">10</note>
            propoſ. </s>
            <s xml:id="echoid-s19212" xml:space="preserve">14. </s>
            <s xml:id="echoid-s19213" xml:space="preserve">huius libris demonſtr atum.</s>
            <s xml:id="echoid-s19214" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div991" type="section" level="1" n="244">
          <head xml:id="echoid-head251" xml:space="preserve">PROBLEMA 57. PROPOSITIO 57.</head>
          <p>
            <s xml:id="echoid-s19215" xml:space="preserve">SIGNA Zodiaci aſcendentia in eodem æquinoctiali horologio
              <lb/>
            figurare.</s>
            <s xml:id="echoid-s19216" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19217" xml:space="preserve">DVCANTVR ex horologij centro E, lineæ occultæ illarum horarum quibus, Sole exiſten-
              <lb/>
              <note position="left" xlink:label="note-0300-03" xlink:href="note-0300-03a" xml:space="preserve">A ſcendentium
                <lb/>
              ſignorum in eo
                <lb/>
              dem horologio
                <lb/>
              æquinoctiali de
                <lb/>
              lineatio.</note>
            te in principio ♋, ſi de horologio ſuperiori agatur, vel in principio ♑, ſi ſermo ſit de inferiori,
              <lb/>
              <note position="left" xlink:label="note-0300-04" xlink:href="note-0300-04a" xml:space="preserve">20</note>
            principia ſignorum aſcendunt ſupra Horizontem, prout in tertia vel in quarta tabella propoſ. </s>
            <s xml:id="echoid-s19218" xml:space="preserve">9.
              <lb/>
            </s>
            <s xml:id="echoid-s19219" xml:space="preserve">
              <figure xlink:label="fig-0300-01" xlink:href="fig-0300-01a" number="208">
                <image file="0300-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0300-01"/>
              </figure>
              <note position="left" xlink:label="note-0300-05" xlink:href="note-0300-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0300-06" xlink:href="note-0300-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0300-07" xlink:href="note-0300-07a" xml:space="preserve">50</note>
            huius libris apparet, ſumendo etiam horas illorum ſignorum, quæ pluribus horis poſt, & </s>
            <s xml:id="echoid-s19220" xml:space="preserve">ante me
              <lb/>
            ridiem oriuntur, quam in arcu ſemidiurno ♋, vel ♑, contineantur. </s>
            <s xml:id="echoid-s19221" xml:space="preserve">Deinde quoniam in illis
              <lb/>
            punctis tropici ♋, vel ♑, vbi à dictis lineis horarijs ſecatur, ſigna aſcendentia tropicum tangunt,
              <lb/>
            vt oſtendimus propoſ. </s>
            <s xml:id="echoid-s19222" xml:space="preserve">9. </s>
            <s xml:id="echoid-s19223" xml:space="preserve">huius libri, ſi per illa puucta ducantur lineæ tangentes tropicum, hoc
              <lb/>
            eſt, lineæ perpendiculares ad dictas lineas horarias, (hæ enim ex coroll. </s>
            <s xml:id="echoid-s19224" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s19225" xml:space="preserve">16. </s>
            <s xml:id="echoid-s19226" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s19227" xml:space="preserve">3. </s>
            <s xml:id="echoid-s19228" xml:space="preserve"/>
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