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-s16637" xml:space="preserve">
              <pb o="248" file="0264" n="264" rhead="GNOMONICES"/>
            lorum, & </s>
            <s xml:id="echoid-s16638" xml:space="preserve">plani horologij. </s>
            <s xml:id="echoid-s16639" xml:space="preserve">Cum igitur communes hę ſectiones parallelæ ſint, ex propoſ. </s>
            <s xml:id="echoid-s16640" xml:space="preserve">18. </s>
            <s xml:id="echoid-s16641" xml:space="preserve">ſupe-
              <lb/>
            rioris lib. </s>
            <s xml:id="echoid-s16642" xml:space="preserve">propterea quòd planum horologij æquidiſtat communi ſectioni illorum circulorum,
              <lb/>
              <figure xlink:label="fig-0264-01" xlink:href="fig-0264-01a" number="186">
                <image file="0264-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0264-01"/>
              </figure>
              <note position="left" xlink:label="note-0264-01" xlink:href="note-0264-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0264-02" xlink:href="note-0264-02a" xml:space="preserve">20</note>
            nempe axi Verticalis circuli, erunt rectæ ipſi horizontali lineæ parallelæ, ac per puncta lineæ æqui
              <lb/>
            noctialis educte, communes ſectiones eirculorum domorum cæleſtium, & </s>
            <s xml:id="echoid-s16643" xml:space="preserve">plani horologij. </s>
            <s xml:id="echoid-s16644" xml:space="preserve">Quod
              <lb/>
            eſt propoſitum.</s>
            <s xml:id="echoid-s16645" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16646" xml:space="preserve">SECVNDVM vero ſententiam Campani, Domus cæleſtes Verticalem circulum diuiden-
              <lb/>
              <note position="left" xlink:label="note-0264-03" xlink:href="note-0264-03a" xml:space="preserve">Deſcriptio do-
                <lb/>
              morum cœle-
                <lb/>
              ſtium ſecun dũ
                <lb/>
              Campanũ, in
                <lb/>
              eodem Meri-
                <lb/>
              diano horolo
                <lb/>
              gio.</note>
              <note position="left" xlink:label="note-0264-04" xlink:href="note-0264-04a" xml:space="preserve">30</note>
            tes in 12. </s>
            <s xml:id="echoid-s16647" xml:space="preserve">partes æquales delineabuntur hac ratione. </s>
            <s xml:id="echoid-s16648" xml:space="preserve">Per A, demittatur ad horizontalem lineam
              <lb/>
            A B, perdicularis A D, quæ erit communis ſectio Verticalis circuli & </s>
            <s xml:id="echoid-s16649" xml:space="preserve">plani horologij, vt demon-
              <lb/>
            ſtrauimus propoſ. </s>
            <s xml:id="echoid-s16650" xml:space="preserve">28. </s>
            <s xml:id="echoid-s16651" xml:space="preserve">huius libri. </s>
            <s xml:id="echoid-s16652" xml:space="preserve">Deinde in linea horizontali ſum pta recta A B, ſtylo A E, æqua-
              <lb/>
            li, deſcribatur ex B, ad quodcunque interuallum circulus, qui in 12. </s>
            <s xml:id="echoid-s16653" xml:space="preserve">partes æquales ſecetur, initio
              <lb/>
            facto à linea horizontali, ac per centrum B, & </s>
            <s xml:id="echoid-s16654" xml:space="preserve">diuiſionum puncta rectæ occultæ tranſmittantur
              <lb/>
            ſecantes rectam A D, in punctis, per quæ lineæ horizontali parallelæ actæ erunt lineæ cæleſtiũ do-
              <lb/>
            morum. </s>
            <s xml:id="echoid-s16655" xml:space="preserve">Circumducto enim circulo ex B, deſcripto circa rectam A D, donec rectus ſit ad horolo-
              <lb/>
              <note position="left" xlink:label="note-0264-05" xlink:href="note-0264-05a" xml:space="preserve">Demonſtratio
                <lb/>
              deſcriptionis
                <lb/>
              domo@um cœle
                <lb/>
              ſtium ſeoundũ
                <lb/>
              Campanum.</note>
            gij planum, centrumque B, cum centro mundi coniungatur, ita vt recta A B, eadem ſiat, quæ linea
              <lb/>
            ſtyli, & </s>
            <s xml:id="echoid-s16656" xml:space="preserve">circulus ipſe in plano circuli Verticalis conſtituatur; </s>
            <s xml:id="echoid-s16657" xml:space="preserve">erunt rectæ per centrum B, tranſeun
              <lb/>
            tes, comunes ſectiones circulorum domorum cæleſtium, (ex quorum numero etiam eſt Horizon
              <lb/>
              <note position="left" xlink:label="note-0264-06" xlink:href="note-0264-06a" xml:space="preserve">40</note>
            per rectam A B, incedens) & </s>
            <s xml:id="echoid-s16658" xml:space="preserve">Verticalis circuli. </s>
            <s xml:id="echoid-s16659" xml:space="preserve">Nam horum circulorũ, & </s>
            <s xml:id="echoid-s16660" xml:space="preserve">Verticalis ſectiones com
              <lb/>
            munes Verticalem, & </s>
            <s xml:id="echoid-s16661" xml:space="preserve">proinde, ex demonſtratis à nobis in ſphærã, & </s>
            <s xml:id="echoid-s16662" xml:space="preserve">circulũ ſibi concentricum ex
              <lb/>
            B, deſcriptum ſecant in partes 12. </s>
            <s xml:id="echoid-s16663" xml:space="preserve">æquales, ac per mundi centrum ducuntur. </s>
            <s xml:id="echoid-s16664" xml:space="preserve">Igitur dicti circuli
              <lb/>
            plano horologij occurrent in punctis, in quibus rectæ ex B, emiſſæ rectam A D, ſecant; </s>
            <s xml:id="echoid-s16665" xml:space="preserve">ac idcirco
              <lb/>
            per eadem illa puncta rectæ AD, tranſibunt communes ſectiones eorundem circulorum, & </s>
            <s xml:id="echoid-s16666" xml:space="preserve">plani
              <lb/>
            horologij. </s>
            <s xml:id="echoid-s16667" xml:space="preserve">Cum igitur communes hæ ſectiones ſint parallelæ, per propoſ. </s>
            <s xml:id="echoid-s16668" xml:space="preserve">18. </s>
            <s xml:id="echoid-s16669" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s16670" xml:space="preserve">quod
              <lb/>
            planum horologij communi ſectioni illorum circulorum, nempe axi Verticalis circuli, æquidi-
              <lb/>
            ſtet, liquido conſtat, rectas ipſi horizontali lineæ pallalelas per puncta lineæ A D, eductas, com-
              <lb/>
            munes eſſe ſectiones circulorum domorum cæleſtium, & </s>
            <s xml:id="echoid-s16671" xml:space="preserve">plani horologij. </s>
            <s xml:id="echoid-s16672" xml:space="preserve">Domos igitur cæleſtes
              <lb/>
            in eodem horologio Meridiano deſcripſimus. </s>
            <s xml:id="echoid-s16673" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s16674" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">50</note>
        </div>
        <div xml:id="echoid-div854" type="section" level="1" n="205">
          <head xml:id="echoid-head208" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s16675" xml:space="preserve">MANIFESTVM eſt aute
              <unsure/>
            m, lineas domorum cæleſtium ſecundum priorem modum per ea pun
              <lb/>
              <note position="left" xlink:label="note-0264-08" xlink:href="note-0264-08a" xml:space="preserve">Per quas horas
                <lb/>
              in æquinoctiali
                <lb/>
              linea ducantur
                <lb/>
              domus cœleſtes
                <lb/>
              ſecundum Ioa.
                <lb/>
              Regiom.</note>
            cta lineæ æquinoctialis duci, per quæ lineę horariæ à linea horizontali duabus, & </s>
            <s xml:id="echoid-s16676" xml:space="preserve">quatuor horis diſtantes
              <lb/>
            ducuntur, quales ſunt in orientali horologio horæ 8. </s>
            <s xml:id="echoid-s16677" xml:space="preserve">& </s>
            <s xml:id="echoid-s16678" xml:space="preserve">10. </s>
            <s xml:id="echoid-s16679" xml:space="preserve">poſt mediam noctem, in occidentali vero 2. </s>
            <s xml:id="echoid-s16680" xml:space="preserve">& </s>
            <s xml:id="echoid-s16681" xml:space="preserve">
              <lb/>
            4. </s>
            <s xml:id="echoid-s16682" xml:space="preserve">poſt meridiem. </s>
            <s xml:id="echoid-s16683" xml:space="preserve">Et quoni
              <unsure/>
            am quælibet domus complectitur grad. </s>
            <s xml:id="echoid-s16684" xml:space="preserve">30. </s>
            <s xml:id="echoid-s16685" xml:space="preserve">ſi quælibet pars duodecima circuli
              <lb/>
            ex E, vel B, deſcripti in 30. </s>
            <s xml:id="echoid-s16686" xml:space="preserve">partes, vel pauciores æquales diuidatur, pro magnitudine horologii, cęteraq́,
              <lb/>
            fiant, quę prius, deſcriptæ erunt lineę aliorum circulorum poſitionum per partes domorum cęleſtiũ tran-
              <lb/>
            ſeuntium. </s>
            <s xml:id="echoid-s16687" xml:space="preserve">In exemplo ſingulę domus diuiſę ſunt bifariam, ita vt inter quaſcunque binas lineas cadant
              <lb/>
            grad. </s>
            <s xml:id="echoid-s16688" xml:space="preserve">15. </s>
            <s xml:id="echoid-s16689" xml:space="preserve">vt figurę indicant.</s>
            <s xml:id="echoid-s16690" xml:space="preserve"/>
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