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-div911" type="section" level="1" n="220">
          <p>
            <s xml:id="echoid-s17962" xml:space="preserve">
              <pb o="265" file="0281" n="281" rhead="LIBER SECVNDVS."/>
            tamen grad. </s>
            <s xml:id="echoid-s17963" xml:space="preserve">360. </s>
            <s xml:id="echoid-s17964" xml:space="preserve">ſi íumma maior fuerit, quàm grad. </s>
            <s xml:id="echoid-s17965" xml:space="preserve">360. </s>
            <s xml:id="echoid-s17966" xml:space="preserve">id eſt, numeros, qui in circulo ex E, de-
              <lb/>
            ſcripto per diametrum opponuntur numeris in ſuperiori horologio ſcriptis. </s>
            <s xml:id="echoid-s17967" xml:space="preserve">Nam portio ablata
              <lb/>
            ab horizontali linea dabit in facie oppoſita, nempe inferiori, Meridiatios circulos, ſi omnes eius
              <lb/>
            partes inuertantur, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s17968" xml:space="preserve">14. </s>
            <s xml:id="echoid-s17969" xml:space="preserve">huius libri demonſtratum eſt. </s>
            <s xml:id="echoid-s17970" xml:space="preserve">Mutantur autem nu-
              <lb/>
            meri inferioris horologii in numeros ſemicirculorum, qui ſemicirculis ſuperioris horologii op-
              <lb/>
            ponuntur, quia Sol in alio ſemicirculo exiſtit, cum vmbra in inferius horologium cadit, & </s>
            <s xml:id="echoid-s17971" xml:space="preserve">in alio,
              <lb/>
            cum in ſuperius, vt propoſ. </s>
            <s xml:id="echoid-s17972" xml:space="preserve">38. </s>
            <s xml:id="echoid-s17973" xml:space="preserve">huius libri docuimus. </s>
            <s xml:id="echoid-s17974" xml:space="preserve">Itaque Meridianos, hoc eſt, circulos longi-
              <lb/>
            tudinum ciuitatum, in eodem polari horologio deſcripſimus. </s>
            <s xml:id="echoid-s17975" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s17976" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div914" type="section" level="1" n="221">
          <head xml:id="echoid-head227" xml:space="preserve">PROBLEMA 43. PROPOSITIO 43.</head>
          <note position="left" xml:space="preserve">10</note>
          <p>
            <s xml:id="echoid-s17977" xml:space="preserve">PARALLELOS ciuitatum, hoc eſt, circulos latitudinum, in eo-
              <lb/>
            dem horologio polari delineare.</s>
            <s xml:id="echoid-s17978" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17979" xml:space="preserve">ACCIPIANTVR paralleli per vertices ciuitatum intra tropicos conſtitutarum (Nam ad
              <lb/>
              <note position="right" xlink:label="note-0281-02" xlink:href="note-0281-02a" xml:space="preserve">Deſcriptio pa-
                <lb/>
              rallelorum ci-
                <lb/>
              uitatum, ſeu la-
                <lb/>
              titudinum in
                <lb/>
              eodem horolo-
                <lb/>
              gio polari.</note>
            aliarum parallelos Sol nunquam peruenit) deſcripti, loco parallelorum per ſigna Zodiaci tran-
              <lb/>
            ſeuntium, & </s>
            <s xml:id="echoid-s17980" xml:space="preserve">cætera omnia fiant, vt de parallelis ſignorum Zodiaci deſcribendis propoſ. </s>
            <s xml:id="echoid-s17981" xml:space="preserve">38. </s>
            <s xml:id="echoid-s17982" xml:space="preserve">huius
              <lb/>
            libri præcepimus, factumq́; </s>
            <s xml:id="echoid-s17983" xml:space="preserve">erit quod proponitur. </s>
            <s xml:id="echoid-s17984" xml:space="preserve">Parallelos ergo ciuitatum, hoc eſt, circulos lati
              <lb/>
            tudinum, in eodem horologio polari delineauimus. </s>
            <s xml:id="echoid-s17985" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s17986" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div916" type="section" level="1" n="222">
          <head xml:id="echoid-head228" xml:space="preserve">PROBLEMA 44. PROPOSITIO 44.</head>
          <note position="left" xml:space="preserve">20</note>
          <p>
            <s xml:id="echoid-s17987" xml:space="preserve">DOMOS cęleſtes in eodem horologio polari deſcribere.</s>
            <s xml:id="echoid-s17988" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17989" xml:space="preserve">SI circulus ex E, deſcriptus, quo vſi ſumus in deſcriptione horarum, ſecetur in 12. </s>
            <s xml:id="echoid-s17990" xml:space="preserve">partes æqua
              <lb/>
              <note position="right" xlink:label="note-0281-04" xlink:href="note-0281-04a" xml:space="preserve">Deſcriptio do-
                <lb/>
              morum cœle
                <lb/>
              ſtium in code
                <unsure/>
                <lb/>
              polari horolo
                <lb/>
              gio, ſecundum
                <lb/>
              Ioan. Regiom.</note>
            les, initio facto à linea meridiana, per puncta autem diuiſionum, & </s>
            <s xml:id="echoid-s17991" xml:space="preserve">centrum E, rectæ ducantur ſe-
              <lb/>
            cantes lin eam æquinoctialem in punctis, dabunt rectæ coniungentes hæc puncta cum puncto D,
              <lb/>
              <figure xlink:label="fig-0281-01" xlink:href="fig-0281-01a" number="196">
                <image file="0281-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0281-01"/>
              </figure>
              <note position="left" xlink:label="note-0281-05" xlink:href="note-0281-05a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0281-06" xlink:href="note-0281-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0281-07" xlink:href="note-0281-07a" xml:space="preserve">50</note>
              <note position="right" xlink:label="note-0281-08" xlink:href="note-0281-08a" xml:space="preserve">Demonſtratio
                <lb/>
              deſcriptionis
                <lb/>
              domorum cœle
                <lb/>
              ſtium ſecundũ
                <lb/>
              loan Region.</note>
            in quo linea horizontalis meridianam lineam interſecat, initia domorum cęleſtium ſecundum do
              <lb/>
            ctrinam Ioan. </s>
            <s xml:id="echoid-s17992" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s17993" xml:space="preserve">vt propoſ. </s>
            <s xml:id="echoid-s17994" xml:space="preserve">20. </s>
            <s xml:id="echoid-s17995" xml:space="preserve">huius libri de Verticali horologio demonſtrauimus; </s>
            <s xml:id="echoid-s17996" xml:space="preserve"/>
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