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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            <s xml:id="echoid-s11423" xml:space="preserve">
              <pb o="175" file="0195" n="195" rhead="LIBER SECVNDVS."/>
            ab Aequatore abſunt tot gradibus verſus eandem partem ſiue borealem, ſiue auſtralem, (prout paral-
              <lb/>
            lelus ille comprehenſus fuerit in horologio inter boreales, auſtralesve parallelos) quot comprehendun-
              <lb/>
            tur in declinatione illius paralleli. </s>
            <s xml:id="echoid-s11424" xml:space="preserve">Vt ſi v. </s>
            <s xml:id="echoid-s11425" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11426" xml:space="preserve">vmbra ſtyli cadat in parallelum, cuius declinatio comple
              <lb/>
            ctatur grad. </s>
            <s xml:id="echoid-s11427" xml:space="preserve">20. </s>
            <s xml:id="echoid-s11428" xml:space="preserve">incedet Sol per verticem cuiuſcunque ciuitatis, cuius latitudo grad. </s>
            <s xml:id="echoid-s11429" xml:space="preserve">20. </s>
            <s xml:id="echoid-s11430" xml:space="preserve">extiterit ſiue
              <lb/>
            verſus boream, ſiue verſus auſtrum, prout ille parallelus in boream quoque, vel auſtrum declinat in ho-
              <lb/>
            rologio. </s>
            <s xml:id="echoid-s11431" xml:space="preserve">Ita quoque vmbra ſtyli percurrente parallelum ♋, cuius declinatio eſt borealis, & </s>
            <s xml:id="echoid-s11432" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s11433" xml:space="preserve">23.
              <lb/>
            </s>
            <s xml:id="echoid-s11434" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s11435" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11436" xml:space="preserve">perueniet Sol in meridie ad Zenith, verticemve vrbis Aegypti Syenes, propterea quòd eius la-
              <lb/>
            titudo borealis quoque eſt, atque gradus complectitur 23. </s>
            <s xml:id="echoid-s11437" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s11438" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11439" xml:space="preserve">Et ſic de reliquis.</s>
            <s xml:id="echoid-s11440" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div616" type="section" level="1" n="157">
          <head xml:id="echoid-head160" xml:space="preserve">PROBLEMA 8. PROPOSITIO 8.</head>
          <note position="left" xml:space="preserve">10</note>
          <p>
            <s xml:id="echoid-s11441" xml:space="preserve">DOMOS cœleſtes, hoc eſt, communes ſectiones plani horolo-
              <lb/>
            gij, & </s>
            <s xml:id="echoid-s11442" xml:space="preserve">circulorum poſitionum, qui per initia, vel quaſcunque partes
              <lb/>
            domorum cœleſtium ducuntur, in eodem horologio horizontali de-
              <lb/>
            ſcribere.</s>
            <s xml:id="echoid-s11443" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11444" xml:space="preserve">SECVNDVM doctrinam Ioan. </s>
            <s xml:id="echoid-s11445" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s11446" xml:space="preserve">qui docet, circulos domorum cœleſtium (qui
              <lb/>
              <note position="right" xlink:label="note-0195-02" xlink:href="note-0195-02a" xml:space="preserve">Deſcriptio do-
                <lb/>
              morum cœle-
                <lb/>
              ſtium in eodem
                <lb/>
              horologio hori
                <lb/>
              zontali, ſecun-
                <lb/>
              dum Ioan, Re-
                <lb/>
              giom.</note>
            quidem ſunt ex numero circulorum, quos poſitionum dicunt.) </s>
            <s xml:id="echoid-s11447" xml:space="preserve">Aequatorem ſecare in 12. </s>
            <s xml:id="echoid-s11448" xml:space="preserve">partes
              <lb/>
              <note position="left" xlink:label="note-0195-03" xlink:href="note-0195-03a" xml:space="preserve">20</note>
            æquales, tranſireq́; </s>
            <s xml:id="echoid-s11449" xml:space="preserve">per communes ſectiones Horizontis, & </s>
            <s xml:id="echoid-s11450" xml:space="preserve">Meridiani, ita domos cœleſtes in ho-
              <lb/>
            rologio horizontali deſcribemus. </s>
            <s xml:id="echoid-s11451" xml:space="preserve">Circulus iam ſæpius ex E, deſcriptus in partes 360. </s>
            <s xml:id="echoid-s11452" xml:space="preserve">æquales di-
              <lb/>
            uidatur, initio facto à linea meridiana. </s>
            <s xml:id="echoid-s11453" xml:space="preserve">Nos illum diuiſimus in partes 12. </s>
            <s xml:id="echoid-s11454" xml:space="preserve">vt quælibet conſtet gra-
              <lb/>
            dibus 30. </s>
            <s xml:id="echoid-s11455" xml:space="preserve">vnamq́; </s>
            <s xml:id="echoid-s11456" xml:space="preserve">domum conſtituat. </s>
            <s xml:id="echoid-s11457" xml:space="preserve">Per centrum deinde, & </s>
            <s xml:id="echoid-s11458" xml:space="preserve">puncta diuiſionum rectæ ducan-
              <lb/>
            tur ſecantes lineam æquinoctialem in punctis, per quæ ſi rectæ agantur ipſi lineæ meridianæ æqui
              <lb/>
            diſtantes; </s>
            <s xml:id="echoid-s11459" xml:space="preserve">(quod quidem facile fiet, ſi ducatur recta C D, lineæ æquinoctiali parallela ſecans meri-
              <lb/>
              <figure xlink:label="fig-0195-01" xlink:href="fig-0195-01a" number="142">
                <image file="0195-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0195-01"/>
              </figure>
              <note position="left" xlink:label="note-0195-04" xlink:href="note-0195-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0195-05" xlink:href="note-0195-05a" xml:space="preserve">40</note>
            dianam lineam in B; </s>
            <s xml:id="echoid-s11460" xml:space="preserve">& </s>
            <s xml:id="echoid-s11461" xml:space="preserve">omnia puncta lineæ æquinoctialis beneficio circini ex I, accepta trans-
              <lb/>
            ferantur in lineam C D, ex puncto B. </s>
            <s xml:id="echoid-s11462" xml:space="preserve">Nam hac ratione rectę connectentes bina puncta æqualite
              <unsure/>
            r
              <lb/>
            ab I, & </s>
            <s xml:id="echoid-s11463" xml:space="preserve">B, remota, parallelæ erunt) deſcriptæ erunt domus cœleſtes, ſecundum Ioan. </s>
            <s xml:id="echoid-s11464" xml:space="preserve">Regiom.
              <lb/>
            </s>
            <s xml:id="echoid-s11465" xml:space="preserve">
              <note position="left" xlink:label="note-0195-06" xlink:href="note-0195-06a" xml:space="preserve">50</note>
              <note position="right" xlink:label="note-0195-07" xlink:href="note-0195-07a" xml:space="preserve">33. primi.</note>
            Quod ita oſtendi poteſt.</s>
            <s xml:id="echoid-s11466" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s11467" xml:space="preserve">QVONIAM iuxta Ioan. </s>
            <s xml:id="echoid-s11468" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s11469" xml:space="preserve">circuli domorum cœleſtium tranſeunt per communes
              <lb/>
              <note position="right" xlink:label="note-0195-08" xlink:href="note-0195-08a" xml:space="preserve">Demonſtratio
                <lb/>
              deſcriptionis d@
                <lb/>
              morum cœle-
                <unsure/>
                <lb/>
              ſtium ſecundũ
                <lb/>
              Ioan. Regio@.</note>
            ſectiones Meridiani, atque Horizontis, diuiduntq́ Æquatorem in partes æquales, initio facto à Me
              <lb/>
            ridiano circulo, qui initium eſt domus decimæ cœleſtis, quam domus vndecima, & </s>
            <s xml:id="echoid-s11470" xml:space="preserve">duodecima ſe-
              <lb/>
            quuntur verſus ortum; </s>
            <s xml:id="echoid-s11471" xml:space="preserve">prima autem incipit ab ipſo Horizonte ex parte orientis, latetq́; </s>
            <s xml:id="echoid-s11472" xml:space="preserve">tota ſub
              <lb/>
            Horizonte, & </s>
            <s xml:id="echoid-s11473" xml:space="preserve">reliquæ deinceps eodem ordine ſub Horizonte ponuntur vſque ad initium ſeptimæ
              <lb/>
            domus, tribuendo ſingulis domibus grad. </s>
            <s xml:id="echoid-s11474" xml:space="preserve">30. </s>
            <s xml:id="echoid-s11475" xml:space="preserve">fit, vt rectæ per puncta diuiſionum & </s>
            <s xml:id="echoid-s11476" xml:space="preserve">centrum cir-
              <lb/>
            culi ex E, deſcripti, ſint communes ſectiones Æquatoris, & </s>
            <s xml:id="echoid-s11477" xml:space="preserve">circulorum domorũ cœleſtium. </s>
            <s xml:id="echoid-s11478" xml:space="preserve">Nam
              <lb/>
            ſi dictus circulus ex E, deſcriptus circa æquinoctialem lineam circumuolui intelligatur, donec in
              <lb/>
            plano Æquinoctialis circuli poſitus ſit, atque adeò eius centrum in centro mundi, ducentur dicti
              <lb/>
            circuli domorum cœleſtium per illa diuiſionum puncta, & </s>
            <s xml:id="echoid-s11479" xml:space="preserve">centrum mundi E. </s>
            <s xml:id="echoid-s11480" xml:space="preserve">Quare circuli </s>
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