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-s11480" xml:space="preserve">
              <pb o="176" file="0196" n="196" rhead="GNOMONICES"/>
            morum cœleſtium occurrent lineæ æquinoctiali horologij in punctis, in quibus prædictæ rectæ
              <lb/>
            eandem ſecant; </s>
            <s xml:id="echoid-s11481" xml:space="preserve">atque adeo per hæc eadem puncta æquinoctialis lineæ tranſibunt communes ſe-
              <lb/>
            ctiones dictorum circulorum, & </s>
            <s xml:id="echoid-s11482" xml:space="preserve">plani horologii, Cum ergo, per propoſ. </s>
            <s xml:id="echoid-s11483" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11484" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11485" xml:space="preserve">com-
              <lb/>
            munes hæ ſectiones parallelæ ſint inter ſe, immo & </s>
            <s xml:id="echoid-s11486" xml:space="preserve">communi omnium circulorum domorũ cœ-
              <lb/>
            leſtium ſectioni æquidiſtent, vt ex demonſtratione dictę propoſ. </s>
            <s xml:id="echoid-s11487" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11488" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11489" xml:space="preserve">perſpicuum eſt;
              <lb/>
            </s>
            <s xml:id="echoid-s11490" xml:space="preserve">
              <figure xlink:label="fig-0196-01" xlink:href="fig-0196-01a" number="143">
                <image file="0196-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0196-01"/>
              </figure>
              <note position="left" xlink:label="note-0196-01" xlink:href="note-0196-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0196-02" xlink:href="note-0196-02a" xml:space="preserve">20</note>
            (propterea quòd planum horologij communi ſectioni dictorum circulorum æquidiſtat) ſit autẽ
              <lb/>
              <note position="left" xlink:label="note-0196-03" xlink:href="note-0196-03a" xml:space="preserve">16. vndec.</note>
            & </s>
            <s xml:id="echoid-s11491" xml:space="preserve">linea meridiana communi illi ſectioni circulorum domorum cœleſtium parallela, quòd linea
              <lb/>
            meridiana, & </s>
            <s xml:id="echoid-s11492" xml:space="preserve">illa ſectio ſint ſectiones planorum parallelorum, nempe Horizontis, & </s>
            <s xml:id="echoid-s11493" xml:space="preserve">plani horolo-
              <lb/>
              <note position="left" xlink:label="note-0196-04" xlink:href="note-0196-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0196-05" xlink:href="note-0196-05a" xml:space="preserve">9. vndec.</note>
            gii, factæ à Meridiano; </s>
            <s xml:id="echoid-s11494" xml:space="preserve">erunt quoque communes ſectiones circulorum domorum cœleſtium, & </s>
            <s xml:id="echoid-s11495" xml:space="preserve">
              <lb/>
            plani horologii ipſi lineæ meridianæ æquidiſtantes. </s>
            <s xml:id="echoid-s11496" xml:space="preserve">Quocirca rectæ illæ, quæ per puncta æquino-
              <lb/>
            ctialis lineæ ſunt ductæ æquidiſtantes ipſi lineæ meridianæ, communes ſectiones erunt circulorũ
              <lb/>
            domorum cœleſtium, & </s>
            <s xml:id="echoid-s11497" xml:space="preserve">plani horologij, in quas videlicet vmbra ſtyli, ex coroll. </s>
            <s xml:id="echoid-s11498" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s11499" xml:space="preserve">12. </s>
            <s xml:id="echoid-s11500" xml:space="preserve">ſupe-
              <lb/>
            rioris lib. </s>
            <s xml:id="echoid-s11501" xml:space="preserve">cadit, Sole exiſtente in prædictis domorum cœleſtium circulis.</s>
            <s xml:id="echoid-s11502" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11503" xml:space="preserve">AT ſecundum Campani ſententiam, qui præcipit, domorum cœleſtium circulos ita duci de-
              <lb/>
              <note position="left" xlink:label="note-0196-06" xlink:href="note-0196-06a" xml:space="preserve">Deſcriptio do-
                <lb/>
              morum cœle-
                <lb/>
              ſtium in eodem
                <lb/>
              horizontali ho
                <lb/>
              rologio, ſecun-
                <lb/>
              dũ Campanũ.</note>
            bere per communes ſectiones Meridiani, & </s>
            <s xml:id="echoid-s11504" xml:space="preserve">Horizontis, vt Verticalem circulum, non autẽ Aequa-
              <lb/>
            torem, (vt vult Ioan. </s>
            <s xml:id="echoid-s11505" xml:space="preserve">Regiom.) </s>
            <s xml:id="echoid-s11506" xml:space="preserve">in partes 12. </s>
            <s xml:id="echoid-s11507" xml:space="preserve">ęquales partiantur, hac ratione domos cœleſtes deli-
              <lb/>
            neabimus. </s>
            <s xml:id="echoid-s11508" xml:space="preserve">In linea meridiana ſumatur à G, loco ſtyli ſiue ſurſum, ſiue deorſuin verſus recta æqua
              <lb/>
            lis ſtylo vſque ad punctum C, è quo circulus cuiuſuis magnitudinis deſcriptus ſecetur in 12. </s>
            <s xml:id="echoid-s11509" xml:space="preserve">par-
              <lb/>
              <note position="left" xlink:label="note-0196-07" xlink:href="note-0196-07a" xml:space="preserve">40</note>
            tes æquales, pro duodecim domibus cœleſtibus, initio facto à linea meridiana. </s>
            <s xml:id="echoid-s11510" xml:space="preserve">Deinde per centrũ
              <lb/>
            C, & </s>
            <s xml:id="echoid-s11511" xml:space="preserve">puncta diuiſionum rectæ ducantur ſecantes rectam A B, (quæ in hunc tantum finem per lo-
              <lb/>
            cum ſtvli ducaturad lineam meridianam perpendicularis, vel, quod idem eſt, æquinoctiali lineæ
              <lb/>
            parallela, vt ſecari poſſit à dictis rectis) in punctis, per quæ, ſi rectæ ducantur æquidiſtantes lineæ
              <lb/>
            ipſi meridianæ, deſcripti erunt circuli domorum cœleſtium ex doctrina Campani. </s>
            <s xml:id="echoid-s11512" xml:space="preserve">Cuius rei hanc
              <lb/>
            accipe demonſtrationem.</s>
            <s xml:id="echoid-s11513" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11514" xml:space="preserve">SI dictus circulus ex C, deſcriptus, circa rectam A B, intelligatur moueri, donec in plano Ver-
              <lb/>
              <note position="left" xlink:label="note-0196-08" xlink:href="note-0196-08a" xml:space="preserve">Demonſtratio
                <lb/>
              deſcriptionis
                <lb/>
              domorum cœle
                <lb/>
              ſtium ſecundũ
                <lb/>
              Campanum.</note>
            ticalis circuli iaceat, nempe rectus ſit ad planum horologij, atque eius centrum idem ſit, quod
              <lb/>
            mundi, ſeu vertex gnomonis; </s>
            <s xml:id="echoid-s11515" xml:space="preserve">erunt rectæ per centrum C, & </s>
            <s xml:id="echoid-s11516" xml:space="preserve">diuiſionum puncta eductæ, commu-
              <lb/>
            nes ſectiones circulorum cœleſtium domorum, ac Verticalis circuli, atque idcirco cuiuſcunque al-
              <lb/>
              <note position="left" xlink:label="note-0196-09" xlink:href="note-0196-09a" xml:space="preserve">50</note>
            terius, qui in eius plano ex centro mundi deſcribitur, qualis eſt dictus circulus ex C, deſcriptus;
              <lb/>
            </s>
            <s xml:id="echoid-s11517" xml:space="preserve">propterea quòd hic, & </s>
            <s xml:id="echoid-s11518" xml:space="preserve">Verticalis proprie dictus à rectis ex centro C, exeuntibus ſecantur in partes
              <lb/>
            ſimiles, vt ad finem cap. </s>
            <s xml:id="echoid-s11519" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11520" xml:space="preserve">ſphæræ demonſtrauimus. </s>
            <s xml:id="echoid-s11521" xml:space="preserve">Quamobrem circuli domorum cœleſtium
              <lb/>
            occurrent lineæ A B, in punctis, in quibus prædictæ rectæ eandem ſecant: </s>
            <s xml:id="echoid-s11522" xml:space="preserve">ac proinde per hæc ea-
              <lb/>
            dem puncta lineæ A B, incedent communes ſectiones dictorum circulorum, & </s>
            <s xml:id="echoid-s11523" xml:space="preserve">plani horologii. </s>
            <s xml:id="echoid-s11524" xml:space="preserve">
              <lb/>
            Cum ergo hæ ſectiones parallelæ ſint & </s>
            <s xml:id="echoid-s11525" xml:space="preserve">inter ſe, & </s>
            <s xml:id="echoid-s11526" xml:space="preserve">communi eorundem circulorum ſectioni, atq; </s>
            <s xml:id="echoid-s11527" xml:space="preserve">
              <lb/>
            adeo & </s>
            <s xml:id="echoid-s11528" xml:space="preserve">lineæ ipſi meridianæ, vt in ſuperiori deſcriptione oſtenſum eſt; </s>
            <s xml:id="echoid-s11529" xml:space="preserve">erunt rectæ illæ, quæ per
              <lb/>
            dicta puncta lineæ AB, ſunt ductæ æquidiſtantes lineæ meridianæ, communes ſectiones circulo-
              <lb/>
            rum cœleſtium domorum, & </s>
            <s xml:id="echoid-s11530" xml:space="preserve">plani horologij. </s>
            <s xml:id="echoid-s11531" xml:space="preserve">Igitur domos cœleſtes, hoc eſt, communes ſectio-
              <lb/>
            nes, &</s>
            <s xml:id="echoid-s11532" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11533" xml:space="preserve">in eodem horologio horizontali deſcripſimus. </s>
            <s xml:id="echoid-s11534" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s11535" xml:space="preserve"/>
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