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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              <pb o="372" file="0388" n="388" rhead="GNOMONICES"/>
            In planis verò, quæ à ſeptentrione in ortum deflectunt, idem angulus conſtituendus eſt infra re-
              <lb/>
            ctam A B, verſus B; </s>
            <s xml:id="echoid-s24528" xml:space="preserve">verſus A, autem in iis, quæ declinant à ſeptentrione in occaſum. </s>
            <s xml:id="echoid-s24529" xml:space="preserve">Dicatur au-
              <lb/>
              <note position="left" xlink:label="note-0388-01" xlink:href="note-0388-01a" xml:space="preserve">Linea declina-
                <lb/>
              @o@is.</note>
            tem recta EF, linea declinationis.</s>
            <s xml:id="echoid-s24530" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s24531" xml:space="preserve">POST hæc in recta A B, ſumpto puncto quocunque β, ſiue ad dextram, ſiue ad ſiniſtram, vt
              <lb/>
              <figure xlink:label="fig-0388-01" xlink:href="fig-0388-01a" number="260">
                <image file="0388-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0388-01"/>
              </figure>
              <note position="left" xlink:label="note-0388-02" xlink:href="note-0388-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0388-03" xlink:href="note-0388-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0388-04" xlink:href="note-0388-04a" xml:space="preserve">30</note>
            in propoſ. </s>
            <s xml:id="echoid-s24532" xml:space="preserve">1. </s>
            <s xml:id="echoid-s24533" xml:space="preserve">huius libri diximus, conſtituatur ad rectam A B, in puncto β, angulus altitudinis
              <lb/>
              <note position="left" xlink:label="note-0388-05" xlink:href="note-0388-05a" xml:space="preserve">40</note>
            poli E β C, verſus rectam C D, & </s>
            <s xml:id="echoid-s24534" xml:space="preserve">ſupra rectam A B, vel infra eandem, ita vt recta β C, ſecet re-
              <lb/>
            ctam C D, in C.</s>
            <s xml:id="echoid-s24535" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s24536" xml:space="preserve">DEINDE ad rectam C D, in E, puncto conſtituatur angulus inclinationis plani ad Horizon-
              <lb/>
            tem per propo@. </s>
            <s xml:id="echoid-s24537" xml:space="preserve">23. </s>
            <s xml:id="echoid-s24538" xml:space="preserve">primi libri inuentæ D E γ, infra rectam A B, & </s>
            <s xml:id="echoid-s24539" xml:space="preserve">in quamcunque partem: </s>
            <s xml:id="echoid-s24540" xml:space="preserve">ap-
              <lb/>
            pelletur autem recta E γ, linea inclinationis. </s>
            <s xml:id="echoid-s24541" xml:space="preserve">Ducta autem ex D, puncto quolibet rectæ C D, ad
              <lb/>
              <note position="left" xlink:label="note-0388-06" xlink:href="note-0388-06a" xml:space="preserve">Linea inclina-
                <lb/>
              tionis.</note>
            linea inclinationis. </s>
            <s xml:id="echoid-s24542" xml:space="preserve">Ducta autem ex D, puncto quolibet rectæ C D, ad lineam inclinationis E γ,
              <lb/>
            linea perpendiculari D γ, abſcindatur ex E D, recta E δ, rectæ E γ, æqualis. </s>
            <s xml:id="echoid-s24543" xml:space="preserve">Ductis quoque per
              <lb/>
            puncta D, δ, rectis D ε, δ θ, rectæ A B, parallelis, vel ad C D, perpendicularibus, quarum δ θ, li-
              <lb/>
            neam declinationis E F, ſecet in θ, abſcindatur recta D ε, ipſi δ θ, æqualis, & </s>
            <s xml:id="echoid-s24544" xml:space="preserve">ex ε, per E, recta edu
              <lb/>
            catur ε E, quæ linea erit meridiana, ſiue horæ 12. </s>
            <s xml:id="echoid-s24545" xml:space="preserve">à meridie, vel media nocte in plano horologii,
              <lb/>
              <note position="left" xlink:label="note-0388-07" xlink:href="note-0388-07a" xml:space="preserve">Linea meridia
                <lb/>
              na.</note>
              <note position="left" xlink:label="note-0388-08" xlink:href="note-0388-08a" xml:space="preserve">50</note>
            vt demonſtrabimus.</s>
            <s xml:id="echoid-s24546" xml:space="preserve"/>
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            <s xml:id="echoid-s24547" xml:space="preserve">INVENIEMVS quoque eandem lineam horæ 12. </s>
            <s xml:id="echoid-s24548" xml:space="preserve">hac ratione. </s>
            <s xml:id="echoid-s24549" xml:space="preserve">Ex aſſumpto puncto F, vt-
              <lb/>
            cunque in linea declinationis E F, ducatur ad A B, perpendicularis F ψ, vel (quod magis probo,
              <lb/>
            quando linea declinationis E F, parum à recta A B, diſtat) ex aſſumpto vtlibet puncto ψ, in recta
              <lb/>
            E A, vel in E B, prout declinationis linea E F, cadit ad ſiniſtram, vel dextram rectæ C D, ducatur
              <lb/>
            ipſi C D, parallela ψ p, ſecans lineam declinationis E F, in F. </s>
            <s xml:id="echoid-s24550" xml:space="preserve">Item ad F ψ, excitetur perpendicula
              <lb/>
            ris F n. </s>
            <s xml:id="echoid-s24551" xml:space="preserve">Conſtituto deinde in ψ, angulo inclinationis F ψ n, ita vt recta ψ n, dictum angulum cũ
              <lb/>
            ψ F, continens ſecet perpendicularem F n, in n, abſcindatur ex ψ F, producta ad partes F, recta
              <lb/>
            ψ p, ipſi ψ n, æqualis, & </s>
            <s xml:id="echoid-s24552" xml:space="preserve">ex E, per p, recta educatur E p, quæ rurſus erit linea meridiana in plano
              <lb/>
            inclinato, vt oſtendemus. </s>
            <s xml:id="echoid-s24553" xml:space="preserve">Aliam quoque inuentionem eiuſdem meridianæ lineæ trademus in
              <lb/>
            ſcholio huius propoſ.</s>
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