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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          <p>
            <s xml:id="echoid-s24467" xml:space="preserve">
              <pb o="371" file="0387" n="387" rhead="LIBER TERTIVS."/>
            nata, deſcribamus, præcepta trademus de ſuperioribus duntaxat deſcribendis, quæ videlicet Ze-
              <lb/>
            nith, ſiue verticem capitis reſpiciunt. </s>
            <s xml:id="echoid-s24468" xml:space="preserve">Ita enim fiet, vt res tota, quæ aliquantulum difficilis eſt, & </s>
            <s xml:id="echoid-s24469" xml:space="preserve">
              <lb/>
            obſcura, planius percipiatur. </s>
            <s xml:id="echoid-s24470" xml:space="preserve">Deſcripto autem horologio quouis ſuperiore, nullo negotic ex ip-
              <lb/>
            ſo inferius fabricabimus, quod nimirum in facie eiuſdem plani inferiori delineatur, ſi eius par-
              <lb/>
            tes inuertantur omnes, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s24471" xml:space="preserve">14. </s>
            <s xml:id="echoid-s24472" xml:space="preserve">ſuperioris libri demonſtratum eſt à nobis. </s>
            <s xml:id="echoid-s24473" xml:space="preserve">His
              <lb/>
            adde, quòd facile ex præceptis his quilibet ſibi alia præcepta pro inferioribus comparare queat, vt
              <lb/>
            & </s>
            <s xml:id="echoid-s24474" xml:space="preserve">nos in præcedentibus fecimus, præſertim ſi attentè legantur ea, quæ in propoſ. </s>
            <s xml:id="echoid-s24475" xml:space="preserve">1. </s>
            <s xml:id="echoid-s24476" xml:space="preserve">huius libri
              <lb/>
            de boreali horologio declinante à Verticali circulo ſcripſimus.</s>
            <s xml:id="echoid-s24477" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s24478" xml:space="preserve">TOTVM autem hoc negotium ſex exemplis, ſiue figuris abſoluemus. </s>
            <s xml:id="echoid-s24479" xml:space="preserve">Tot enim varietates
              <lb/>
              <note position="right" xlink:label="note-0387-01" xlink:href="note-0387-01a" xml:space="preserve">Sex figuris con
                <lb/>
              tinetur deſcri-
                <lb/>
              ptio horologii
                <lb/>
              à Verticali de-
                <lb/>
              elina ntis, & ad
                <lb/>
              Horizontem in
                <lb/>
              clinati.</note>
            in vniuerſum eſſe videntur, vt ex ſequentibus fiet perſpicuum. </s>
            <s xml:id="echoid-s24480" xml:space="preserve">In prima figura ponimus declina
              <lb/>
              <note position="left" xlink:label="note-0387-02" xlink:href="note-0387-02a" xml:space="preserve">10</note>
            tionem plani à meridie in ortum grad. </s>
            <s xml:id="echoid-s24481" xml:space="preserve">40. </s>
            <s xml:id="echoid-s24482" xml:space="preserve">& </s>
            <s xml:id="echoid-s24483" xml:space="preserve">inclinationem ad Horizontem grad. </s>
            <s xml:id="echoid-s24484" xml:space="preserve">20. </s>
            <s xml:id="echoid-s24485" xml:space="preserve">In ſecun-
              <lb/>
            da declinationem à meridie in occaſum grad. </s>
            <s xml:id="echoid-s24486" xml:space="preserve">20. </s>
            <s xml:id="echoid-s24487" xml:space="preserve">& </s>
            <s xml:id="echoid-s24488" xml:space="preserve">inclinationem ad Horizontem grad. </s>
            <s xml:id="echoid-s24489" xml:space="preserve">70. </s>
            <s xml:id="echoid-s24490" xml:space="preserve">In
              <lb/>
            tertia declinationem à meridie in ortum grad. </s>
            <s xml:id="echoid-s24491" xml:space="preserve">45. </s>
            <s xml:id="echoid-s24492" xml:space="preserve">& </s>
            <s xml:id="echoid-s24493" xml:space="preserve">inclinationem ad Horizontem grad. </s>
            <s xml:id="echoid-s24494" xml:space="preserve">51.
              <lb/>
            </s>
            <s xml:id="echoid-s24495" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s24496" xml:space="preserve">51. </s>
            <s xml:id="echoid-s24497" xml:space="preserve">In quarta declinationem à ſeptentrione in occaſum grad. </s>
            <s xml:id="echoid-s24498" xml:space="preserve">20. </s>
            <s xml:id="echoid-s24499" xml:space="preserve">& </s>
            <s xml:id="echoid-s24500" xml:space="preserve">inclinationem ad Hori-
              <lb/>
              <note position="right" xlink:label="note-0387-03" xlink:href="note-0387-03a" xml:space="preserve">Declinationes
                <lb/>
              planorum hu-
                <lb/>
              ius propoſitio-
                <lb/>
              nis à Vercicali,
                <lb/>
              & corddeni ad
                <lb/>
              Horizontẽ in-
                <lb/>
              clinationes.</note>
            zontem grad. </s>
            <s xml:id="echoid-s24501" xml:space="preserve">30. </s>
            <s xml:id="echoid-s24502" xml:space="preserve">In quinta declinationem à ſeptentrione in ortum grad. </s>
            <s xml:id="echoid-s24503" xml:space="preserve">60. </s>
            <s xml:id="echoid-s24504" xml:space="preserve">& </s>
            <s xml:id="echoid-s24505" xml:space="preserve">inclinationem
              <lb/>
            ad Horizontem grad. </s>
            <s xml:id="echoid-s24506" xml:space="preserve">80. </s>
            <s xml:id="echoid-s24507" xml:space="preserve">In ſexta denique ſtatuimus declinationem plani à ſeptentrione in ortũ
              <lb/>
            grad. </s>
            <s xml:id="echoid-s24508" xml:space="preserve">30. </s>
            <s xml:id="echoid-s24509" xml:space="preserve">& </s>
            <s xml:id="echoid-s24510" xml:space="preserve">inclinationem ad Horizontem grad. </s>
            <s xml:id="echoid-s24511" xml:space="preserve">52. </s>
            <s xml:id="echoid-s24512" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s24513" xml:space="preserve">3. </s>
            <s xml:id="echoid-s24514" xml:space="preserve">Itaque in prioribus tribus exemplis
              <lb/>
            planum inclinatum eſt ad Horizontem ad partes boreales, eiuſq́; </s>
            <s xml:id="echoid-s24515" xml:space="preserve">facies ſuperior reſpicit Zenith,
              <lb/>
            & </s>
            <s xml:id="echoid-s24516" xml:space="preserve">auſtralem plagam; </s>
            <s xml:id="echoid-s24517" xml:space="preserve">in tribus autẽ poſterioribus planum ad Horizontem inclinatum eſt ex par-
              <lb/>
            te auſtrali, reſpicitq́ue facies eius ſuperior Zenith, & </s>
            <s xml:id="echoid-s24518" xml:space="preserve">plagam borealem: </s>
            <s xml:id="echoid-s24519" xml:space="preserve">Hoc eſt, planum priorum
              <lb/>
              <note position="left" xlink:label="note-0387-04" xlink:href="note-0387-04a" xml:space="preserve">20</note>
            trium figurarum ſecat Meridianum circulum ſupra Horizontem ex parte boreali, planum autem
              <lb/>
            trium poſteriorum figurarum ex auſtrali parte.</s>
            <s xml:id="echoid-s24520" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s24521" xml:space="preserve">ITAQVE vt ſuperius horologium declinans à Verticali, & </s>
            <s xml:id="echoid-s24522" xml:space="preserve">ad Horizontem inclinatum de-
              <lb/>
              <note position="right" xlink:label="note-0387-05" xlink:href="note-0387-05a" xml:space="preserve">Deſcriptio ho-
                <lb/>
              rologii Aſtro-
                <lb/>
              nom ici Supe
                <lb/>
              rioris, quod &
                <lb/>
              à Verticali de-
                <lb/>
              clinat, & ad Ho
                <lb/>
              rizontem eſt in
                <lb/>
              elinatum:</note>
            ſcribatur, ducantur in plano aliquo duæ rectæ A B, C D, ſe ſe ad angulos rectos ſecantes in E,
              <lb/>
              <figure xlink:label="fig-0387-01" xlink:href="fig-0387-01a" number="259">
                <image file="0387-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0387-01"/>
              </figure>
              <note position="left" xlink:label="note-0387-06" xlink:href="note-0387-06a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0387-07" xlink:href="note-0387-07a" xml:space="preserve">40</note>
              <note position="left" xlink:label="note-0387-08" xlink:href="note-0387-08a" xml:space="preserve">50</note>
            Deinde ad rectam C D, in puncto E, conſtituatur angulus declinationis per propoſ. </s>
            <s xml:id="echoid-s24523" xml:space="preserve">23. </s>
            <s xml:id="echoid-s24524" xml:space="preserve">primi libri
              <lb/>
            inuentæ, hoc ſeruato ordine. </s>
            <s xml:id="echoid-s24525" xml:space="preserve">In its, quæ declinant à meridie in ortũ, conſtituendus eſt dictus angu
              <lb/>
            lus D E F, infra rectam A B, verſus A; </s>
            <s xml:id="echoid-s24526" xml:space="preserve">verſus autẽ B, in ijs, quæ à meridie in occaſum declinant:</s>
            <s xml:id="echoid-s24527" xml:space="preserve"/>
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