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-s15504" xml:space="preserve">
              <pb o="228" file="0248" n="248" rhead="GNOMONICES"/>
            prius, deſcripti erunt alii circuli poſitionum per partes domorum cœleſtium tranſeuntes. </s>
            <s xml:id="echoid-s15505" xml:space="preserve">Id quod & </s>
            <s xml:id="echoid-s15506" xml:space="preserve">in
              <lb/>
            domibus cœleſtibus aliorum horologiorum obſeruandum erit.</s>
            <s xml:id="echoid-s15507" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s15508" xml:space="preserve">QVOD ſi lineæ domorum cœleſtium in auſtrali horologio vltra horizontalem lineam excurrant,
              <lb/>
            exhibebit nobis portio abſciſſa à linea horizontali, ſi inuertatnr, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s15509" xml:space="preserve">14. </s>
            <s xml:id="echoid-s15510" xml:space="preserve">huius libri do-
              <lb/>
            cuimus, eaſdem lineas in horologio horeali, vt in eodem ſcholio demonſtratum eſt.</s>
            <s xml:id="echoid-s15511" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div789" type="section" level="1" n="190">
          <head xml:id="echoid-head193" xml:space="preserve">PROBLEMA 21. PROPOSITIO 21.</head>
          <p>
            <s xml:id="echoid-s15512" xml:space="preserve">SIGNA Zodiaci aſcendentia in eodem Verticali horologio
              <lb/>
              <note position="left" xlink:label="note-0248-01" xlink:href="note-0248-01a" xml:space="preserve">10</note>
            deſcribere.</s>
            <s xml:id="echoid-s15513" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15514" xml:space="preserve">EX prioribus duabus tabellis propoſ. </s>
            <s xml:id="echoid-s15515" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15516" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15517" xml:space="preserve">Sole exiſtente Sole exiſtente in principio ♈,
              <lb/>
              <note position="left" xlink:label="note-0248-02" xlink:href="note-0248-02a" xml:space="preserve">Deſcriptio aſcẽ
                <lb/>
              dentium ſigno-
                <lb/>
              rum in eodem
                <lb/>
              horologio Ver
                <lb/>
              ticali.</note>
            & </s>
            <s xml:id="echoid-s15518" xml:space="preserve">♎, ſumantur horæ, quibus 12. </s>
            <s xml:id="echoid-s15519" xml:space="preserve">ſigna Zodiaci oriuntur, quæ in circulo ex E, deſcripto ſupputen-
              <lb/>
            tur à linea meridiana vel verſus ortum, vel verſus occaſum, prout tabellæ indicant. </s>
            <s xml:id="echoid-s15520" xml:space="preserve">Per fines dein
              <lb/>
              <figure xlink:label="fig-0248-01" xlink:href="fig-0248-01a" number="173">
                <image file="0248-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0248-01"/>
              </figure>
              <note position="left" xlink:label="note-0248-03" xlink:href="note-0248-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0248-04" xlink:href="note-0248-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0248-05" xlink:href="note-0248-05a" xml:space="preserve">40</note>
            de ſupputationum, & </s>
            <s xml:id="echoid-s15521" xml:space="preserve">centrum E, rectæ occultæ educantur ſecantes lineam æquinoctialem in pun-
              <lb/>
            ctis, per quæ lineæ aſcen dentium ſignorum, hoc eſt, communes ſectiones plani horologii, & </s>
            <s xml:id="echoid-s15522" xml:space="preserve">Zo-
              <lb/>
            diaci in ortu ſignorum duci debent. </s>
            <s xml:id="echoid-s15523" xml:space="preserve">Verbi gratia, quoniam Sole exiſtente in æquinoctiali circulo,
              <lb/>
            nempe in principio ♈, principium ♉, oritur hora 4. </s>
            <s xml:id="echoid-s15524" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s15525" xml:space="preserve">51. </s>
            <s xml:id="echoid-s15526" xml:space="preserve">ante meridiem, ſupputandę erunt
              <lb/>
            in horologio auſtrali horæ 4. </s>
            <s xml:id="echoid-s15527" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s15528" xml:space="preserve">51. </s>
            <s xml:id="echoid-s15529" xml:space="preserve">à puncto N, dextram verſus vſq; </s>
            <s xml:id="echoid-s15530" xml:space="preserve">ad punctum A; </s>
            <s xml:id="echoid-s15531" xml:space="preserve">atque per
              <lb/>
            A, & </s>
            <s xml:id="echoid-s15532" xml:space="preserve">centrum E, recta occulta protrahenda ſecans æquinoctialem lineam in B, puncto, per quod
              <lb/>
            traiicienda eſt linea aſcendentis ſigni ♉. </s>
            <s xml:id="echoid-s15533" xml:space="preserve">Nam Sole exiſtente in principio ♈, & </s>
            <s xml:id="echoid-s15534" xml:space="preserve">oriente ♉, hoc eſt,
              <lb/>
            hora 4. </s>
            <s xml:id="echoid-s15535" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s15536" xml:space="preserve">51 ante meridiem, vmbra gnomonis proiicitur in punctum B, vt conſtat ex iis, quæ
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s15537" xml:space="preserve">1. </s>
            <s xml:id="echoid-s15538" xml:space="preserve">huius libri demonſtrata ſunt. </s>
            <s xml:id="echoid-s15539" xml:space="preserve">Non ſecus inquirenda erunt puncta aliorum ſignorum
              <lb/>
            aſcendentium in linea æquinoctiali.</s>
            <s xml:id="echoid-s15540" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">50</note>
          <p>
            <s xml:id="echoid-s15541" xml:space="preserve">POST hęc in linea horizontali notentur ex propoſ. </s>
            <s xml:id="echoid-s15542" xml:space="preserve">14. </s>
            <s xml:id="echoid-s15543" xml:space="preserve">huius libri puncta, in quibus ab ar-
              <lb/>
            cubus ſignorum ſecatur. </s>
            <s xml:id="echoid-s15544" xml:space="preserve">In hæc enim proiicientur vmbræ ſtyli, illis ſignis orientibus, occidenti-
              <lb/>
            busve cuiuſmodi ſunt puncta C, D, F, K, L, M. </s>
            <s xml:id="echoid-s15545" xml:space="preserve">Nam in C, in horologio auſtrali occidunt ♏, & </s>
            <s xml:id="echoid-s15546" xml:space="preserve">
              <lb/>
            ♓; </s>
            <s xml:id="echoid-s15547" xml:space="preserve">in D, ♐, & </s>
            <s xml:id="echoid-s15548" xml:space="preserve">♒; </s>
            <s xml:id="echoid-s15549" xml:space="preserve">in F, ♑; </s>
            <s xml:id="echoid-s15550" xml:space="preserve">At in punctis K, L, M, eadem ſigna oriuntur. </s>
            <s xml:id="echoid-s15551" xml:space="preserve">In horologio autem bo
              <lb/>
            reali in C, occidunt ♉, & </s>
            <s xml:id="echoid-s15552" xml:space="preserve">♍; </s>
            <s xml:id="echoid-s15553" xml:space="preserve">in D, ♊, & </s>
            <s xml:id="echoid-s15554" xml:space="preserve">♌; </s>
            <s xml:id="echoid-s15555" xml:space="preserve">in F, ♋; </s>
            <s xml:id="echoid-s15556" xml:space="preserve">& </s>
            <s xml:id="echoid-s15557" xml:space="preserve">in punctis K, L, M, eadem ſigna oriun-
              <lb/>
            tur, vt perſpicuum eſt, ſi horologium boreale in proprio ſitu collocetur in facie Septentrionali,
              <lb/>
            ita vt centrum horologii H, ſit infra lineam horizontalem, & </s>
            <s xml:id="echoid-s15558" xml:space="preserve">puncta K, L, M, ad dextram partem,
              <lb/>
            & </s>
            <s xml:id="echoid-s15559" xml:space="preserve">C, D, E, ad ſiniſtram. </s>
            <s xml:id="echoid-s15560" xml:space="preserve">Sumimus enim nunc pro horologio boreali totum auſtrale, ſi ſuperior
              <lb/>
            pars mutetur in inferiorem, ita vt centrum H, infra lineam horizontalem poſitum ſit.</s>
            <s xml:id="echoid-s15561" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15562" xml:space="preserve">HÆC autem puncta inueniemus etiam hac ratione in linea horizontali vtriuſque horolo-
              <lb/>
            gii, etiamſi arcus ſignorum in eo non ſint deſcripti. </s>
            <s xml:id="echoid-s15563" xml:space="preserve">Ex quinta tabella propoſ. </s>
            <s xml:id="echoid-s15564" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15565" xml:space="preserve">huius libri </s>
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