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-s11671" xml:space="preserve">
              <pb o="179" file="0199" n="199" rhead="LIBER SECVNDVS."/>
            ctialem lincam in F, per quod ex H, centro horologii recta emittatur ſecans tropicum ♑, in K.
              <lb/>
            </s>
            <s xml:id="echoid-s11672" xml:space="preserve">Nam ex demonſtratis propoſ. </s>
            <s xml:id="echoid-s11673" xml:space="preserve">prima huius lib. </s>
            <s xml:id="echoid-s11674" xml:space="preserve">punctum K, erit illud, in quod vmbra ſtyli cadit il. </s>
            <s xml:id="echoid-s11675" xml:space="preserve">
              <lb/>
              <figure xlink:label="fig-0199-01" xlink:href="fig-0199-01a" number="144">
                <image file="0199-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0199-01"/>
              </figure>
              <note position="left" xlink:label="note-0199-01" xlink:href="note-0199-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0199-02" xlink:href="note-0199-02a" xml:space="preserve">20</note>
            la hora, qua principium ♉, aſcendit, Sole exiſtente in principo ♑, atque adeò per K, tráſibit quo-
              <lb/>
            que communis ſectio plani horologii, & </s>
            <s xml:id="echoid-s11676" xml:space="preserve">Eclipticæ eo tempore. </s>
            <s xml:id="echoid-s11677" xml:space="preserve">Quare recta per puncta C, & </s>
            <s xml:id="echoid-s11678" xml:space="preserve">K,
              <lb/>
            ducta erit communis ſectio plani horologii, & </s>
            <s xml:id="echoid-s11679" xml:space="preserve">Eclipticæ eo tempore, quo principium ♉, ſup ra
              <lb/>
            Horizontem aſcendit, & </s>
            <s xml:id="echoid-s11680" xml:space="preserve">in quam tunc vmbra gnomonis cadit, ex propoſ. </s>
            <s xml:id="echoid-s11681" xml:space="preserve">11. </s>
            <s xml:id="echoid-s11682" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11683" xml:space="preserve">Sole
              <lb/>
            exiſtente ſupra Horizontem in quocunque puncto Eclipticæ. </s>
            <s xml:id="echoid-s11684" xml:space="preserve">Igitur recta C K, dabit ſignum ♉,
              <lb/>
            aſcendens. </s>
            <s xml:id="echoid-s11685" xml:space="preserve">Eodem modo reliqua ſigna aſcendentia deſcribemus, ſumendo ſingula ſigna vnà cum
              <lb/>
              <note position="left" xlink:label="note-0199-03" xlink:href="note-0199-03a" xml:space="preserve">30</note>
            horis ex duabus tabellis, (primò quidem ex alterutra priorum duarum tabellarum, ſecundo autem
              <lb/>
            ex alterutra duarum poſteriorum) vt duo puncta inueniantur, vnum in linea æquinoctiali, & </s>
            <s xml:id="echoid-s11686" xml:space="preserve">in al-
              <lb/>
            terutro tropico alterum, per quæ communis ſectio Eclipticæ, & </s>
            <s xml:id="echoid-s11687" xml:space="preserve">plani horologij incedat, &</s>
            <s xml:id="echoid-s11688" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11689" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11690" xml:space="preserve">CÆTERVM, ex neutra duarum priorum tabellarum accipiendæ ſunt in horologio hori-
              <lb/>
            zontali horæ illorum ſignorum, quæ ſex horis, vel pluribus ante, vel poſt meridiem oriuntur. </s>
            <s xml:id="echoid-s11691" xml:space="preserve">Illæ
              <lb/>
            enim in æquinoctialem lineam non cadunt, vt patet. </s>
            <s xml:id="echoid-s11692" xml:space="preserve">Quare ex vtraque ſunt ſolum aſſumenda in
              <lb/>
            horizontali horologio priora quinque ſigna, quæ primum ſequuntur, qualia ſunt ♉, ♊, ♋, ♌, ♍,
              <lb/>
            ♏, ♐, ♑, ♒, & </s>
            <s xml:id="echoid-s11693" xml:space="preserve">♓. </s>
            <s xml:id="echoid-s11694" xml:space="preserve">Rurſus ex neutra duarum poſteriorum tabellarum ſumendæ ſunt in eodem
              <lb/>
            horologio horizontali horæ illorum ſignorum, quæ tot horis poſt, vel ante meridiem oriuntur,
              <lb/>
            quot in arcu ſemidiurno ♋, vel ♑, continentur, vel pluribus. </s>
            <s xml:id="echoid-s11695" xml:space="preserve">Nam illę horæ tropicos non ſecant,
              <lb/>
              <note position="left" xlink:label="note-0199-04" xlink:href="note-0199-04a" xml:space="preserve">40</note>
            vt conſtat. </s>
            <s xml:id="echoid-s11696" xml:space="preserve">Vnde ex tertia tabella ſumentur tantummodo horæ priorum quinque ſignorum, ſimi
              <lb/>
            liter & </s>
            <s xml:id="echoid-s11697" xml:space="preserve">ex quarta, relicto primo ſigno in vtraque tabella: </s>
            <s xml:id="echoid-s11698" xml:space="preserve">cuiuſmodi ſunt hæc ſigna. </s>
            <s xml:id="echoid-s11699" xml:space="preserve">♌, ♍, ♎, ♏,
              <lb/>
            ♐, ♒, ♓, ♈, ♉, & </s>
            <s xml:id="echoid-s11700" xml:space="preserve">♊. </s>
            <s xml:id="echoid-s11701" xml:space="preserve">Neque verò propterea ſuperuacanea cenſenda ſunt reliqua poſteriora ſex
              <lb/>
            ſigna harum tabularum, quoniam eorum vſus in alijs horologiis, quæ ſequuntur, vt in Meridia-
              <lb/>
            no vtroque, & </s>
            <s xml:id="echoid-s11702" xml:space="preserve">in declinantibus, & </s>
            <s xml:id="echoid-s11703" xml:space="preserve">inclinatis, neceſſarius omnino eſt, vt ex ſequentibus fiet
              <lb/>
            perſpicuum.</s>
            <s xml:id="echoid-s11704" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Deſcriptio ſi-
            <lb/>
          gnorum @Arie-
            <lb/>
          tis, & Libræ a-
            <lb/>
          ſcendentium.</note>
          <p>
            <s xml:id="echoid-s11705" xml:space="preserve">VERVM lineæ ♈, & </s>
            <s xml:id="echoid-s11706" xml:space="preserve">♎, ita deſcribentur. </s>
            <s xml:id="echoid-s11707" xml:space="preserve">Quoniam aſcendente principio ♈, & </s>
            <s xml:id="echoid-s11708" xml:space="preserve">Sole exi-
              <lb/>
            ſtente in principio ♑, meridies inſtat, vt conſtat ex quarta tabella; </s>
            <s xml:id="echoid-s11709" xml:space="preserve">perſpicuum eſt, communem
              <lb/>
            tunc ſectionem plani horologii, & </s>
            <s xml:id="echoid-s11710" xml:space="preserve">Eclipticæ tranſire per illud punctum tropici ♑, per quod me-
              <lb/>
            ridiana linea ducitur. </s>
            <s xml:id="echoid-s11711" xml:space="preserve">Quoniam verò eo tempore Æquator, circulus horæ ſextæ à meridie vel me
              <lb/>
              <note position="left" xlink:label="note-0199-06" xlink:href="note-0199-06a" xml:space="preserve">50</note>
            dia nocte, Ecliptica, & </s>
            <s xml:id="echoid-s11712" xml:space="preserve">Horizon, eandem habent communem ſectionem, vt ex ſphæra materiali li-
              <lb/>
            quet, cui planum horologij æquidiſtat, cum parallelum ſit Horizonti; </s>
            <s xml:id="echoid-s11713" xml:space="preserve">parallelæ erunt, per propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s11714" xml:space="preserve">18. </s>
            <s xml:id="echoid-s11715" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s11716" xml:space="preserve">linea æquinoctialis, linea horæ ſextæ à mer. </s>
            <s xml:id="echoid-s11717" xml:space="preserve">vel med noc. </s>
            <s xml:id="echoid-s11718" xml:space="preserve">& </s>
            <s xml:id="echoid-s11719" xml:space="preserve">communis ſectio
              <lb/>
            Eclipticæ, ac plani horologii. </s>
            <s xml:id="echoid-s11720" xml:space="preserve">Recta igitur æquinoctiali lineæ, vel ipſi lineæ horæ ſextæ parallela
              <lb/>
            per punctum, in quo linea meridiana tropicum ♑, ſecat, educta dabit ſignum ♈, aſcendens. </s>
            <s xml:id="echoid-s11721" xml:space="preserve">Ea-
              <lb/>
            demq́ue ratione recta, quæ per punctum, in quo linea meridiana tropicum ♋, ſecat, lineæ æquino-
              <lb/>
            ctiali ducitur parallela, ſignum ♎, aſcendens dabit: </s>
            <s xml:id="echoid-s11722" xml:space="preserve">quoniam etiam hoc ſignum in meridie ori-
              <lb/>
            tur, Sole exiſtente in princ̃ipio ♋, vt ex tertia tabella manifeſtum eſt, &</s>
            <s xml:id="echoid-s11723" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11724" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Deſctiptio fi-
            <lb/>
          gnorum Cácri,
            <lb/>
          & Capricorni,
            <lb/>
          aſcendentium.</note>
          <p>
            <s xml:id="echoid-s11725" xml:space="preserve">POSTREMO lineæ, ♋, & </s>
            <s xml:id="echoid-s11726" xml:space="preserve">♑ hoc modo poterunt deſcribi. </s>
            <s xml:id="echoid-s11727" xml:space="preserve">Quia aſcendente principio ♋,
              <lb/>
            & </s>
            <s xml:id="echoid-s11728" xml:space="preserve">Sole exiſtente in principio ♑, inſtat hora 4. </s>
            <s xml:id="echoid-s11729" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11730" xml:space="preserve">28. </s>
            <s xml:id="echoid-s11731" xml:space="preserve">poſt meridiem, vt ex quarta tabella con-
              <lb/>
            ſt@t, hoc eſt, Sol tunc, vel principium ♑, occidit, ſecabunt Ecliptica, & </s>
            <s xml:id="echoid-s11732" xml:space="preserve">circulus horæ 4.</s>
            <s xml:id="echoid-s11733" xml:space="preserve"/>
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