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-div1397" type="section" level="1" n="344">
          <pb o="418" file="0434" n="434" rhead="GNOMONICES"/>
          <p>
            <s xml:id="echoid-s27479" xml:space="preserve">HÆC horologia conſtruentur hic, quemadmodum in ſphæra obliqua, quod attinet ad ho-
              <lb/>
              <note position="left" xlink:label="note-0434-01" xlink:href="note-0434-01a" xml:space="preserve">Horę ã mer.
                <lb/>
              vel med. noc.
                <lb/>
              arcus ſignorũ,
                <lb/>
              & circuli latitu
                <lb/>
              dinũ ciuitatũ
                <lb/>
              in horologio
                <lb/>
              Meridiano
                <lb/>
              ſphæræ rectæ.</note>
              <figure xlink:label="fig-0434-01" xlink:href="fig-0434-01a" number="287">
                <image file="0434-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0434-01"/>
              </figure>
            ras à meridie, & </s>
            <s xml:id="echoid-s27480" xml:space="preserve">
              <lb/>
            media nocte, ni
              <lb/>
            ſi quod linea ho
              <lb/>
            ræ 6. </s>
            <s xml:id="echoid-s27481" xml:space="preserve">in ſphæra
              <lb/>
            recta à linea ho-
              <lb/>
            rizõtali nõ dif-
              <lb/>
            fert, atque adeò
              <lb/>
            ęquinoctialis li-
              <lb/>
            nea ipſam ad an
              <lb/>
              <note position="left" xlink:label="note-0434-02" xlink:href="note-0434-02a" xml:space="preserve">10</note>
            gulos rectos ſe-
              <lb/>
            cans ad Horizõ
              <lb/>
            tem perpendicu
              <lb/>
            laris exiſtit. </s>
            <s xml:id="echoid-s27482" xml:space="preserve">In
              <lb/>
            parallelis autẽ,
              <lb/>
            ſiue arcubus ſi-
              <lb/>
            gnorum, & </s>
            <s xml:id="echoid-s27483" xml:space="preserve">lati-
              <lb/>
            tudinum ciuita
              <lb/>
            tum nullum eſt
              <lb/>
            diſcrimen in v-
              <lb/>
              <note position="left" xlink:label="note-0434-03" xlink:href="note-0434-03a" xml:space="preserve">20</note>
            traque ſphæra dummodo obſeruentur, parallelos ab æquinoctiali linea in auſtrum recedentes
              <lb/>
            pertinere ad ſigna, & </s>
            <s xml:id="echoid-s27484" xml:space="preserve">oppida borealia; </s>
            <s xml:id="echoid-s27485" xml:space="preserve">reliquos verò ad auſtralia.</s>
            <s xml:id="echoid-s27486" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Horę ab o@. &
            <lb/>
          occ. in horolo-
            <lb/>
          gio Meridiano
            <lb/>
          ſphæræ rectæ.</note>
          <p>
            <s xml:id="echoid-s27487" xml:space="preserve">HORÆ verò ab ortu, & </s>
            <s xml:id="echoid-s27488" xml:space="preserve">occaſu in eiſdem lineis horarum à meridie, & </s>
            <s xml:id="echoid-s27489" xml:space="preserve">media nocte nume-
              <lb/>
            randę ſunt, vt in propoſ. </s>
            <s xml:id="echoid-s27490" xml:space="preserve">1. </s>
            <s xml:id="echoid-s27491" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s27492" xml:space="preserve">tradidimus, veluti ex appoſitis figuris liquet, in quibus nu-
              <lb/>
            meri diſpoſiti ſunt, vt in horologio horizõtali ſphæræ rectæ. </s>
            <s xml:id="echoid-s27493" xml:space="preserve">Itaque Meridianum horologiũ in
              <lb/>
            ſphæra recta ab horizontali eiuſdem ſphærę non differt, ſi lineamenta reſpiciamus; </s>
            <s xml:id="echoid-s27494" xml:space="preserve">ſolũ numeri
              <lb/>
            mutantur, vt patet: </s>
            <s xml:id="echoid-s27495" xml:space="preserve">adeò vt horizontale horologium ſphæræ rectæ, ſi collocetur, vt Meridiano cir
              <lb/>
              <note position="left" xlink:label="note-0434-05" xlink:href="note-0434-05a" xml:space="preserve">Verticales cir-
                <lb/>
              culi, & paralle-
                <lb/>
              li Horizontis
                <lb/>
              in horologio
                <lb/>
              Meridiano
                <lb/>
              ſphæræ rectæ.</note>
            culo æquidiſtet, prębeat horologium Meridianum in eadem ſphæra.</s>
            <s xml:id="echoid-s27496" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27497" xml:space="preserve">CIRCVLI etiam Verticales, & </s>
            <s xml:id="echoid-s27498" xml:space="preserve">paralleli Horizontis reponentur hic, vt in meridiano horo-
              <lb/>
            logio Horizontis obliqui, ſed linea æquinoctialis dabit Verticalem circulum propriè dictum, vt
              <lb/>
              <note position="left" xlink:label="note-0434-06" xlink:href="note-0434-06a" xml:space="preserve">30</note>
            in horizontali horologio ſphæræ rectæ diximus.</s>
            <s xml:id="echoid-s27499" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Meridiani cir-
            <lb/>
          culi, & domus
            <lb/>
          cœleſtes in Me
            <lb/>
          ridiano horolo
            <lb/>
          gio ſphęræ re-
            <lb/>
          ctæ.</note>
          <p>
            <s xml:id="echoid-s27500" xml:space="preserve">SIMILITER Meridiani circuli, & </s>
            <s xml:id="echoid-s27501" xml:space="preserve">domus cœleſtes depingentur hic, vt in horologio Me-
              <lb/>
            ridiano ſphæræ obliquæ, ita tamen, vt domus cœleſtes eundem hic ordinem habeant, quem in
              <lb/>
            horizontali horologio ſphæræ rectæ pręſcripſimus.</s>
            <s xml:id="echoid-s27502" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27503" xml:space="preserve">POSTREMO ſigna aſcendentia eandem deſcriptionem etiam habent hic, quam in horo-
              <lb/>
              <note position="left" xlink:label="note-0434-08" xlink:href="note-0434-08a" xml:space="preserve">Signa aſcendẽ-
                <lb/>
              tia in horolo-
                <lb/>
              gio Meridiano
                <lb/>
              ſphæræ rectę.</note>
            logio Meridiano ſphæræ obliquæ. </s>
            <s xml:id="echoid-s27504" xml:space="preserve">Quamobrem horologia Meridiana in ſphæra recta compoſui
              <lb/>
            mus. </s>
            <s xml:id="echoid-s27505" xml:space="preserve">Quod erat ſaciendum.</s>
            <s xml:id="echoid-s27506" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1402" type="section" level="1" n="345">
          <head xml:id="echoid-head358" xml:space="preserve">PROBLEMA 4. PROPOSITIO 4.</head>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s27507" xml:space="preserve">HOROLOGIA polaria in ſphęra recta delineare.</s>
            <s xml:id="echoid-s27508" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27509" xml:space="preserve">NVLLA in re differunt polaria horologia ſphæræ rectæ ab Horizontalibus eiuſdem ſphæ-
              <lb/>
              <note position="left" xlink:label="note-0434-10" xlink:href="note-0434-10a" xml:space="preserve">Polaria horo-
                <lb/>
              logia in ſphæra
                <lb/>
              recta.</note>
            ræ; </s>
            <s xml:id="echoid-s27510" xml:space="preserve">cum circulus horæ 6. </s>
            <s xml:id="echoid-s27511" xml:space="preserve">à meridie vel media nocte, cui polaria horologia æquidiſtant, ab Hori-
              <lb/>
            zonte, cui parallela ſunt horologia horizontalia, non differat. </s>
            <s xml:id="echoid-s27512" xml:space="preserve">Horologia ergo polaria in ſphæra
              <lb/>
            recta delineauimus. </s>
            <s xml:id="echoid-s27513" xml:space="preserve">Quod faciendum erat.</s>
            <s xml:id="echoid-s27514" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1404" type="section" level="1" n="346">
          <head xml:id="echoid-head359" xml:space="preserve">PROBLEMA 5. PROPOSITIO 5.</head>
          <p>
            <s xml:id="echoid-s27515" xml:space="preserve">HOROLOGIA æquinoctialia in ſphæra recta figurare.</s>
            <s xml:id="echoid-s27516" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">50</note>
          <note position="left" xml:space="preserve">Aequinoctialia
            <lb/>
          horologia in
            <lb/>
          ſphęra rect a.</note>
          <p>
            <s xml:id="echoid-s27517" xml:space="preserve">NEQVE verò æquinoctialia horologia ſphæræ rectæ à Verticalibus horologijs eiuſdem ſphæ
              <lb/>
            ræ diuerſa ſunt, quod idem circulus ſit Æquator, & </s>
            <s xml:id="echoid-s27518" xml:space="preserve">Verticalis in ſphæra recta. </s>
            <s xml:id="echoid-s27519" xml:space="preserve">Quocirca horo-
              <lb/>
            logia æquinoctialia in ſphæra recta figurauimus. </s>
            <s xml:id="echoid-s27520" xml:space="preserve">Quod erat faciendum.</s>
            <s xml:id="echoid-s27521" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1405" type="section" level="1" n="347">
          <head xml:id="echoid-head360" xml:space="preserve">PROBLEMA 6. PROPOSITIO 6.</head>
          <p>
            <s xml:id="echoid-s27522" xml:space="preserve">HOROLOGIA à Verticali circulo declinantia in ſphęra recta
              <lb/>
            depingere.</s>
            <s xml:id="echoid-s27523" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27524" xml:space="preserve">DVCTIS duabus rectis A B, C H, ſeſe in H, ad angulos rectos ſecantibus, conſtituatur </s>
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