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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          <pb o="169" file="0189" n="189" rhead="LIBER SECVNDVS."/>
          <p style="it">
            <s xml:id="echoid-s10916" xml:space="preserve">PORRO vſus parallelorum, ſiue arcuum ſignorum Zodiaci in omnibus horologijs eſt, vt per eos ſcia
              <lb/>
              <note position="right" xlink:label="note-0189-01" xlink:href="note-0189-01a" xml:space="preserve">Vſus arcuum
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              ſignorum in ho
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              rologio deſcri-
                <lb/>
              p@o@um, quibus
                <lb/>
              diſcimus, qua
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              in parte Zo-
                <lb/>
              diaci Sol exi-
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              ſtat.</note>
            mus, quonam in ſigno Zodiaci Sol quotidie verſetur. </s>
            <s xml:id="echoid-s10917" xml:space="preserve">Quotieſcunque enim vmbræ extremitas in aliquem
              <lb/>
            arcum in horologio deſcriptum cadit pręcisè, ac proinde toto illo die ab eo minimè recedit, exiſtet neceſ-
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            ſario tunc Sol in prineipio illius ſigni Zodiaci, quod arcus prędictus repræſent at. </s>
            <s xml:id="echoid-s10918" xml:space="preserve">Quando autem non prę-
              <lb/>
            cisè in aliquem arcum cadit vmbra, ſed in ſpatium inter duos arcus concluſum, non verſabitur tunc Sol
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            in principio alicuius ſigni, ſed vel iuxta princi@ium, vel in medio, vel prope finem, vel deniq; </s>
            <s xml:id="echoid-s10919" xml:space="preserve">in alia qua-
              <lb/>
            piam parte illius, pro proportione diſtantiæ vmbrę ab arcu illius ſigni. </s>
            <s xml:id="echoid-s10920" xml:space="preserve">Vt autem cognoſcamus, quodnam
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            duorum ſignorum, quæ cuilibet arcui, (exceptis duobus tropicis) ſunt aſcripta, accipiendum ſit, obſeruan
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            dum erit, quanam in parte anni verſemur. </s>
            <s xml:id="echoid-s10921" xml:space="preserve">Nam cum à duodecimo die Iunij vſque ad diem duodecimum
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            Decembris, percurr at hac tempeſtate Sol hæc ſex ſigna: </s>
            <s xml:id="echoid-s10922" xml:space="preserve">♋, ♌, ♍, ♎, ♏, & </s>
            <s xml:id="echoid-s10923" xml:space="preserve">♐: </s>
            <s xml:id="echoid-s10924" xml:space="preserve">Alia autem ſex, vt ♑,
              <lb/>
              <note position="left" xlink:label="note-0189-02" xlink:href="note-0189-02a" xml:space="preserve">10</note>
            ♒, ♓, ♈, ♉, & </s>
            <s xml:id="echoid-s10925" xml:space="preserve">♊, à die duodecimo Decembris vſque ad duodecimum diem Iunij, facile quibet iudica
              <lb/>
            re poterit, in quonam duorum ſignorum Sol existat. </s>
            <s xml:id="echoid-s10926" xml:space="preserve">Exempli gratia. </s>
            <s xml:id="echoid-s10927" xml:space="preserve">Si in aliquo die inter duodecimũ
              <lb/>
            Iunij, & </s>
            <s xml:id="echoid-s10928" xml:space="preserve">duodecimum Decembris extremitas vmbræ præcisè cadat in arcum, cui appoſita ſunt duo hæc
              <lb/>
            ſigna ♊, & </s>
            <s xml:id="echoid-s10929" xml:space="preserve">♌, exiſtet Sol in principio ♌, non autem in principio ♊: </s>
            <s xml:id="echoid-s10930" xml:space="preserve">Si autem vmbra cadat in ſpatium
              <lb/>
            inter dictum arcum, & </s>
            <s xml:id="echoid-s10931" xml:space="preserve">arcum alium horum duorum ſignorum ♉, & </s>
            <s xml:id="echoid-s10932" xml:space="preserve">♍, comprehenſum, verſabitur Sol
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            in aliquo gradu ♌, non autẽ ingradu aliquo ♊, vel ♍, vel ♉; </s>
            <s xml:id="echoid-s10933" xml:space="preserve">quia illo anni tempore non poteſt eſſe in ♊,
              <lb/>
            vel ♉, vt diximus, ſed vel in ♌, vel in ♍; </s>
            <s xml:id="echoid-s10934" xml:space="preserve">cum ergo Sol moueatur à ♌, in ♍, & </s>
            <s xml:id="echoid-s10935" xml:space="preserve">non è contrario, effici-
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            tur, illum tunc exiſtere in gradu aliquo ♌, non autem ♍. </s>
            <s xml:id="echoid-s10936" xml:space="preserve">Contrarium eſſet intelligendum, ſi in ea parte
              <lb/>
            anni, quæ inter duodecimum diem Decembris, & </s>
            <s xml:id="echoid-s10937" xml:space="preserve">duodecimum diem Iunij ponitur, verſaremur. </s>
            <s xml:id="echoid-s10938" xml:space="preserve">Nam tunc
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            vmbra cadente in arcum ♊, & </s>
            <s xml:id="echoid-s10939" xml:space="preserve">♌, Sol existeret in principio ♊: </s>
            <s xml:id="echoid-s10940" xml:space="preserve">cadente autem vmbra in idem ſpatium
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              <note position="left" xlink:label="note-0189-03" xlink:href="note-0189-03a" xml:space="preserve">20</note>
            inter dictum arcum, & </s>
            <s xml:id="echoid-s10941" xml:space="preserve">arcum ♉, & </s>
            <s xml:id="echoid-s10942" xml:space="preserve">♍, contentum, conſtitutus eſſet Sol in gradu aliquo ♉, quia à ♉, in
              <lb/>
            ♊, proprio motu progreditur. </s>
            <s xml:id="echoid-s10943" xml:space="preserve">& </s>
            <s xml:id="echoid-s10944" xml:space="preserve">ſic de cæteris.</s>
            <s xml:id="echoid-s10945" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div589" type="section" level="1" n="147">
          <head xml:id="echoid-head150" xml:space="preserve">PROBLEMA 3. PROPOSITIO 3.</head>
          <p>
            <s xml:id="echoid-s10946" xml:space="preserve">PARALLELOS arcuum diurnorum in eodem horologio ho-
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            rizontali deſcribere.</s>
            <s xml:id="echoid-s10947" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10948" xml:space="preserve">CVM paralleli arcuum diurnorum æquidiſtent Aequatori, quemadmodum & </s>
            <s xml:id="echoid-s10949" xml:space="preserve">paralleli ſigno
              <lb/>
              <note position="left" xlink:label="note-0189-04" xlink:href="note-0189-04a" xml:space="preserve">30</note>
              <note position="right" xlink:label="note-0189-05" xlink:href="note-0189-05a" xml:space="preserve">Deſcriptio ar-
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              cuum diurnorũ
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              in pradicto ho-
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              rologio norizon
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              tali.</note>
            rum Zodiaci, perſpicuum eſt, eandem eſſe & </s>
            <s xml:id="echoid-s10950" xml:space="preserve">illorum, & </s>
            <s xml:id="echoid-s10951" xml:space="preserve">horum deſcribendorum rationem. </s>
            <s xml:id="echoid-s10952" xml:space="preserve">Itaque
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            ſi in priori modo deſcriptionis pręcedẽte propoſ. </s>
            <s xml:id="echoid-s10953" xml:space="preserve">tradito, loco parallelorum, qui per ſigna Zodia-
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            ci ducuntur, ſumantur paralleli arcuum diurnorum, quorum declinationes propoſ. </s>
            <s xml:id="echoid-s10954" xml:space="preserve">33. </s>
            <s xml:id="echoid-s10955" xml:space="preserve">præceden-
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            tis libri inuentę ſunt: </s>
            <s xml:id="echoid-s10956" xml:space="preserve">in poſteriori autem, loco radiorum Zodiaci ex puncto D, egredientium aſ-
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            ſumantur radii arcuum diurnorum, vt ex his figuris appoſitis patet, in quarum priore continen-
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            tur paralleli, quorum arcus diurni horas continent 8. </s>
            <s xml:id="echoid-s10957" xml:space="preserve">9. </s>
            <s xml:id="echoid-s10958" xml:space="preserve">10. </s>
            <s xml:id="echoid-s10959" xml:space="preserve">11. </s>
            <s xml:id="echoid-s10960" xml:space="preserve">12. </s>
            <s xml:id="echoid-s10961" xml:space="preserve">13. </s>
            <s xml:id="echoid-s10962" xml:space="preserve">14. </s>
            <s xml:id="echoid-s10963" xml:space="preserve">15. </s>
            <s xml:id="echoid-s10964" xml:space="preserve">16. </s>
            <s xml:id="echoid-s10965" xml:space="preserve">in poſteriori
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              <figure xlink:label="fig-0189-01" xlink:href="fig-0189-01a" number="138">
                <image file="0189-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0189-01"/>
              </figure>
              <note position="left" xlink:label="note-0189-06" xlink:href="note-0189-06a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0189-07" xlink:href="note-0189-07a" xml:space="preserve">50</note>
              <gap/>
              <lb/>
            verò radij parallelorum, quorum arcus diurni continent horas. </s>
            <s xml:id="echoid-s10966" xml:space="preserve">0. </s>
            <s xml:id="echoid-s10967" xml:space="preserve">1. </s>
            <s xml:id="echoid-s10968" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10969" xml:space="preserve">3. </s>
            <s xml:id="echoid-s10970" xml:space="preserve">4. </s>
            <s xml:id="echoid-s10971" xml:space="preserve">5. </s>
            <s xml:id="echoid-s10972" xml:space="preserve">6. </s>
            <s xml:id="echoid-s10973" xml:space="preserve">& </s>
            <s xml:id="echoid-s10974" xml:space="preserve">ſic deinceps
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            vſque ad 24. </s>
            <s xml:id="echoid-s10975" xml:space="preserve">vbi totus parallelus eſt arcus diurnus; </s>
            <s xml:id="echoid-s10976" xml:space="preserve">deſcribemus parallelos arcuum diurnorum ea-
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            dem prorſus arte, qua parallelos ſignorum pręcedente propoſ. </s>
            <s xml:id="echoid-s10977" xml:space="preserve">deſcripſimus. </s>
            <s xml:id="echoid-s10978" xml:space="preserve">Qui quidem omnes
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            conicæ ſectiones ſunt, quas vinbra ſtvli deſcribit, ex coroll. </s>
            <s xml:id="echoid-s10979" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s10980" xml:space="preserve">12. </s>
            <s xml:id="echoid-s10981" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s10982" xml:space="preserve">Sole in illis
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            exiſtente. </s>
            <s xml:id="echoid-s10983" xml:space="preserve">Linea autem ęquinoctialis eſt arcus diurnus horarum 12.</s>
            <s xml:id="echoid-s10984" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10985" xml:space="preserve">SVNT autem extrem@e lineę in figura radiorum ex H, eductę lineis extremis ex D, emiſſis pa-
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              <note position="right" xlink:label="note-0189-08" xlink:href="note-0189-08a" xml:space="preserve">28. primi.</note>
            </s>
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