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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        <div xml:id="echoid-div887" type="section" level="1" n="214">
          <p>
            <s xml:id="echoid-s17510" xml:space="preserve">
              <pb o="258" file="0274" n="274" rhead="GNOMONICES"/>
            cuum eſt, ſi rectè conſideretur propria poſitio circuli ex E, deſcripti, vel Æ quatoris in plano ho-
              <lb/>
            rologii polaris, ita vt ad planum horologii rectus ſit. </s>
            <s xml:id="echoid-s17511" xml:space="preserve">Quapropter circuli horarii à meridie, vel
              <lb/>
            media nocte ſecant ęquinoctialem lineam C S, in plano horologii in punctis, in quibus rectæ per
              <lb/>
            centrum E, & </s>
            <s xml:id="echoid-s17512" xml:space="preserve">puncta diuiſionum circuli ex E, deſcripti ductæ eidem occurrunt, ac propterea per
              <lb/>
            hęc puncta ducẽdæ ſunt communes ſectiones circulorum eorundem, ac plani horologii, quæ qui-
              <lb/>
            dem ſunt horarię lineæ à meridie, vel media nocte. </s>
            <s xml:id="echoid-s17513" xml:space="preserve">Quamobrẽ cũ ex coroll propoſ. </s>
            <s xml:id="echoid-s17514" xml:space="preserve">22. </s>
            <s xml:id="echoid-s17515" xml:space="preserve">ſuperioris
              <lb/>
            lib. </s>
            <s xml:id="echoid-s17516" xml:space="preserve">hæ lineæ horariæ ſint parallelæ in polari horologio, liquido cõſtat, rectas, quę per puncta lineæ
              <lb/>
            C S, ipſi D E, meridianæ lineæ, ſeu lineæ horæ 12. </s>
            <s xml:id="echoid-s17517" xml:space="preserve">parallelæ ducũtur, eſſe lineas horarias à meridie,
              <lb/>
              <note position="left" xlink:label="note-0274-01" xlink:href="note-0274-01a" xml:space="preserve">Linea horæ 6. à
                <lb/>
              mer. vel med.
                <lb/>
              noc. deſcribi ne
                <lb/>
              quit in polari
                <lb/>
              horologio.</note>
            vel media nocte, eo ordine, vt ſupra dictũ eſt. </s>
            <s xml:id="echoid-s17518" xml:space="preserve">Sola linea horæ 6. </s>
            <s xml:id="echoid-s17519" xml:space="preserve">deſcribi non poteſt, ſed euaneſcit,
              <lb/>
            vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s17520" xml:space="preserve">11. </s>
            <s xml:id="echoid-s17521" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s17522" xml:space="preserve">demonſtrauimus. </s>
            <s xml:id="echoid-s17523" xml:space="preserve">Atque hactenus Polare horologium Su-
              <lb/>
              <note position="left" xlink:label="note-0274-02" xlink:href="note-0274-02a" xml:space="preserve">10</note>
            perius, quod Zenith reſpicit, conſtruximus.</s>
            <s xml:id="echoid-s17524" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s17525" xml:space="preserve">IAM verò eædem lineæ horariæ in facie oppoſita plani horologii (quam quidem Sol illuſtrat
              <lb/>
              <note position="left" xlink:label="note-0274-03" xlink:href="note-0274-03a" xml:space="preserve">Horologiũ po-
                <lb/>
              lare Superius in
                <lb/>
              facie oppoſita
                <lb/>
              deſcriptum, ita
                <lb/>
              vt lineæ ſingu-
                <lb/>
              lę ſingulis lineis
                <lb/>
              reſpodeant, dat
                <lb/>
              horologium po
                <lb/>
              lare Interius,
                <lb/>
              dummodo nu
                <lb/>
              meri horarum
                <lb/>
              mutentur in ea
                <lb/>
              rum complemẽ
                <lb/>
              ta vſque ad 12.</note>
            ante horam 6. </s>
            <s xml:id="echoid-s17526" xml:space="preserve">à media nocte, & </s>
            <s xml:id="echoid-s17527" xml:space="preserve">poſt 6. </s>
            <s xml:id="echoid-s17528" xml:space="preserve">à meridie, vt patet) deſcriptæ, ita vt ſingulæ lineæ ſingulis
              <lb/>
            lineis omni ex parte reſpondeant, dabunt quoque horas in horologio polari inferiori, mutato ta-
              <lb/>
            men numero cuiuslibet horæ in complementum eius vſque ad 12. </s>
            <s xml:id="echoid-s17529" xml:space="preserve">adeo vt linea horæ 7. </s>
            <s xml:id="echoid-s17530" xml:space="preserve">à media
              <lb/>
            nocte in ſuperiori horologio ſit linea horæ 5. </s>
            <s xml:id="echoid-s17531" xml:space="preserve">à media nocte in inferiori, &</s>
            <s xml:id="echoid-s17532" xml:space="preserve">c. </s>
            <s xml:id="echoid-s17533" xml:space="preserve">Appellamus horolo
              <lb/>
            gium Superius, quod Zenith reſpicit, Inferius autem, quod Nadir. </s>
            <s xml:id="echoid-s17534" xml:space="preserve">Demonſtratio eadem omnino
              <lb/>
            eſt, quæ prius, ſi circulus ex E, deſcriptus intelligatur circa C S, moueri deorſum verſus, donec E,
              <lb/>
            cum centro mundi coniungatur, &</s>
            <s xml:id="echoid-s17535" xml:space="preserve">c. </s>
            <s xml:id="echoid-s17536" xml:space="preserve">Nam diameter illius ſecans C S, ad angulos rectos erit com
              <lb/>
            munis ſectio Æ quatoris, & </s>
            <s xml:id="echoid-s17537" xml:space="preserve">circuli horæ 12. </s>
            <s xml:id="echoid-s17538" xml:space="preserve">mediæ noctis, &</s>
            <s xml:id="echoid-s17539" xml:space="preserve">c. </s>
            <s xml:id="echoid-s17540" xml:space="preserve">vt facile intelligi poteſt, ſi circulus
              <lb/>
              <note position="left" xlink:label="note-0274-04" xlink:href="note-0274-04a" xml:space="preserve">20</note>
            dictus in propria poſitione concipiatur in plano horologii Inferioris. </s>
            <s xml:id="echoid-s17541" xml:space="preserve">Horologium igitur Aſtro-
              <lb/>
            nomicum polare delineauimus. </s>
            <s xml:id="echoid-s17542" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s17543" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div891" type="section" level="1" n="215">
          <head xml:id="echoid-head221" style="it" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s17544" xml:space="preserve">SI in plano ſtabili, quod circulo horæ 6. </s>
            <s xml:id="echoid-s17545" xml:space="preserve">æquidistet, deſcribendum ſit horologium, non autem in quo-
              <lb/>
              <note position="left" xlink:label="note-0274-05" xlink:href="note-0274-05a" xml:space="preserve">Quomodo in
                <lb/>
              plano ſtabili po
                <lb/>
              lare horologiũ
                <lb/>
              Aſtronomicum
                <lb/>
              conſtruatur.</note>
            cunque plano, vt postea in proprio ſitu collocetur, quemadmodum hactenus factum est à nobis; </s>
            <s xml:id="echoid-s17546" xml:space="preserve">ducenda
              <lb/>
            erit beneficio libellæ, ac perpendiculi in plano dato recta C S, Horizonti æquidiſtans pro linea æquino-
              <lb/>
            ctiali, & </s>
            <s xml:id="echoid-s17547" xml:space="preserve">ad hanc perpendicularis excitanda D E, pro linea meridiana; </s>
            <s xml:id="echoid-s17548" xml:space="preserve">ſumpta deinde in recta D E, lon-
              <lb/>
            gitudine styli A E, at que ex E, deſcripto circulo cuiuslibet magnitudinis, reliqua abſoluenda erunt, vt
              <lb/>
              <note position="left" xlink:label="note-0274-06" xlink:href="note-0274-06a" xml:space="preserve">30</note>
            in Meridiano horologio, vt & </s>
            <s xml:id="echoid-s17549" xml:space="preserve">ante docuimus.</s>
            <s xml:id="echoid-s17550" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Quando datur
            <lb/>
          l@@@@ ſtyli, ei
            <unsure/>
          uſ-
            <lb/>
          que longitudo,
            <lb/>
          qua ratione de-
            <lb/>
          ſcribatur horo-
            <lb/>
          logium Aſtro-
            <lb/>
          nomicum Pola
            <lb/>
          re.</note>
          <p style="it">
            <s xml:id="echoid-s17551" xml:space="preserve">QVOD ſi detur locus ſtyli, vt in A, vna cum eius longitudine, ducenda erit C S, Horizonti æquidi
              <lb/>
            ſtans per A, locum styli, & </s>
            <s xml:id="echoid-s17552" xml:space="preserve">ad C S, ex eodem loco ſtyli A, per pendicularis excitanda D E, &</s>
            <s xml:id="echoid-s17553" xml:space="preserve">c.</s>
            <s xml:id="echoid-s17554" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div893" type="section" level="1" n="216">
          <head xml:id="echoid-head222" xml:space="preserve">PROBLEMA 38. PROPOSITIO 38.</head>
          <p>
            <s xml:id="echoid-s17555" xml:space="preserve">PARALLELOS, ſiue arcus ſignorum Zodiaci in prædicto ho-
              <lb/>
            rologio polari deſcribere.</s>
            <s xml:id="echoid-s17556" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s17557" xml:space="preserve">DESCRIBENTVR arcus ſignorum Zodiaci in horologio polari, quemadmodũ in Mc-
              <lb/>
              <note position="left" xlink:label="note-0274-09" xlink:href="note-0274-09a" xml:space="preserve">Deſcriptio ar-
                <lb/>
              cuum ſig norũ
                <lb/>
              Zodi
                <unsure/>
              ac@ in ho-
                <lb/>
              rologio polari.</note>
              <figure xlink:label="fig-0274-01" xlink:href="fig-0274-01a" number="191">
                <image file="0274-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0274-01"/>
              </figure>
            ridiano horolo-
              <lb/>
            gio deſcripti sũt.
              <lb/>
            </s>
            <s xml:id="echoid-s17558" xml:space="preserve">Eædem enim de-
              <lb/>
            mõſtrationes huc
              <lb/>
            trãsferri poſſunt,
              <lb/>
            hoc ſolum obſer
              <lb/>
            uato, in prima fi-
              <lb/>
            gura propoſ. </s>
            <s xml:id="echoid-s17559" xml:space="preserve">26. </s>
            <s xml:id="echoid-s17560" xml:space="preserve">
              <lb/>
            huius libri circu-
              <lb/>
              <note position="left" xlink:label="note-0274-10" xlink:href="note-0274-10a" xml:space="preserve">50</note>
            lum Analemma-
              <lb/>
            tis A B C D, non
              <lb/>
            ſumendum eſſe,
              <lb/>
            vtibi, pro circu-
              <lb/>
            lo horæ 6. </s>
            <s xml:id="echoid-s17561" xml:space="preserve">à me-
              <lb/>
            ridie, vel media
              <lb/>
            nocte, ſed pro
              <lb/>
            ipſo Meridiano,
              <lb/>
            atque adeò axem
              <lb/>
            F G, eſſe communem ſectionem Meridiani, & </s>
            <s xml:id="echoid-s17562" xml:space="preserve">circuli 6. </s>
            <s xml:id="echoid-s17563" xml:space="preserve">horæ; </s>
            <s xml:id="echoid-s17564" xml:space="preserve">rectam autem L M, ſectio-
              <lb/>
            nem communem eiuſdem Meridiani, & </s>
            <s xml:id="echoid-s17565" xml:space="preserve">plani horologii polaris, hoc eſt, lineam </s>
          </p>
        </div>
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    </echo>
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