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

Table of figures

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[265] 1. figura
[266] 2. figura.
[267] 3. figura.
[268] 4. figura
[269] 5. figura
[270] 6. figura
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            <s xml:id="echoid-s24711" xml:space="preserve">
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            rem cum F ψ n, ſit angulus inclinationis plani ad Horizontem, & </s>
            <s xml:id="echoid-s24712" xml:space="preserve">ψ F, Horizonti æquidiſtet, iace-
              <lb/>
            bit ψ n, in plano inclinato, hoc eſt, cum recta ψ p, coniuncta erit in dicto plano. </s>
            <s xml:id="echoid-s24713" xml:space="preserve">Quare pun-
              <lb/>
            ctum n, in punctum p, cadet, ob æqualitatẽ rectarum ψ n, ψ p. </s>
            <s xml:id="echoid-s24714" xml:space="preserve">cum ergo Meridianus rectus exi-
              <lb/>
              <figure xlink:label="fig-0392-01" xlink:href="fig-0392-01a" number="262">
                <image file="0392-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0392-01"/>
              </figure>
              <note position="left" xlink:label="note-0392-01" xlink:href="note-0392-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0392-02" xlink:href="note-0392-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0392-03" xlink:href="note-0392-03a" xml:space="preserve">30</note>
            ſtens ad planum trianguli ψ F E, in plano horologij horizõtalis exiſtentis tranſeat per E F, atque
              <lb/>
            adeo per F n, (quod F n, per defin. </s>
            <s xml:id="echoid-s24715" xml:space="preserve">4. </s>
            <s xml:id="echoid-s24716" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s24717" xml:space="preserve">11. </s>
            <s xml:id="echoid-s24718" xml:space="preserve">Euclidis, recta ſit ad planum trianguli E F ψ, propterea
              <lb/>
              <note position="left" xlink:label="note-0392-04" xlink:href="note-0392-04a" xml:space="preserve">40</note>
            quòd ad ψ F, communem ſectionem triangulorũ E F ψ, ψ F n, perpendicularis eſt ex conſtructio-
              <lb/>
            ne) occurret Meridianus plano inclinato in puncto p, ac proinde recta E p, communis ſectio
              <lb/>
            erit Meridiani, & </s>
            <s xml:id="echoid-s24719" xml:space="preserve">plani inclinati.</s>
            <s xml:id="echoid-s24720" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s24721" xml:space="preserve">ITAQVE cum θ λ, ad E θ, perpendicularis ſit, & </s>
            <s xml:id="echoid-s24722" xml:space="preserve">æqualis rectæ D γ, hoc eſt, rectæ θ ε, ex θ,
              <lb/>
            puncto plani horologii horizontalis ad ε, punctum plani inclinati demiſſæ, erit triangulum
              <lb/>
            E θ λ, æquale omnino triangulo E θ ε, in plano Meridiani exiſtenti, cuius latus E θ, in horizonta-
              <lb/>
            lis horologij plano, E ε, in plano inclinato, & </s>
            <s xml:id="echoid-s24723" xml:space="preserve">θ ε, in plano Meridiani exiſtit; </s>
            <s xml:id="echoid-s24724" xml:space="preserve">rectaq́ue E λ, rectæ
              <lb/>
            E ε, æqualis erit, & </s>
            <s xml:id="echoid-s24725" xml:space="preserve">angulus θ E λ, angulo θ E ε, in Meridiani plano. </s>
            <s xml:id="echoid-s24726" xml:space="preserve">Quocirca ſi concipiatur triã-
              <lb/>
            gulum E θ λ, circa rectam E θ, in plano horologij horizontalis exiſtentem circumduci, donec cum
              <lb/>
            plano Meridiani coniungatur, efficietur prorſus idem triangulum E θ λ, quod triangulum E θ ε,
              <lb/>
              <note position="left" xlink:label="note-0392-05" xlink:href="note-0392-05a" xml:space="preserve">50</note>
            in plano Meridiani exiſtens, punctumq́ue λ, in punctum ε, cadet. </s>
            <s xml:id="echoid-s24727" xml:space="preserve">Quia verò horologio inclina-
              <lb/>
            to in propria poſitione conſtituto, ita vt recta E F, in plano horologii horizontalis exiſtens ſit com
              <lb/>
            munis ſectio ipſius, ac Meridiani, recta μ F, circumducta, donec ad planum Meridiani, vel trian-
              <lb/>
            guli E θ λ, quod iam idem eſſe demonſtrauimus, quod E θ ε, in Meridiani plano exiſtens, perue-
              <lb/>
            niat, ea tamen lege, ut eundem ſemper angulum E F μ, conficiat, axis mundi eſt; </s>
            <s xml:id="echoid-s24728" xml:space="preserve">propterea quod
              <lb/>
            angulus E F μ, in planis auſtrũ reſpicientibus ſumptus eſt æqualis altitudini poli, in planis autem
              <lb/>
            ad boream ſpectantibus conſtituit una cum angulo altitudinis poli duos rectos, ex conſtructione;
              <lb/>
            </s>
            <s xml:id="echoid-s24729" xml:space="preserve">ac idcirco recta F μ, ad partes μ, producta per polum arcticum trãſit, fit ut punctum, in quo occur
              <lb/>
            rit plano inclinato, uel rectę E λ, quæ eadem iam eſt, quæ E ε, ut oſtendimus, ſit illud, in quo om-
              <lb/>
            nes lineæ horarum à meridie, vel media nocte conueniunt, ex coroll. </s>
            <s xml:id="echoid-s24730" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s24731" xml:space="preserve">21. </s>
            <s xml:id="echoid-s24732" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s24733" xml:space="preserve">1. </s>
            <s xml:id="echoid-s24734" xml:space="preserve">quod qui-
              <lb/>
            dem centrum horologij appellari ſolet. </s>
            <s xml:id="echoid-s24735" xml:space="preserve">Vnde cum axis μ F, ſecet rectam E λ, in π, ſi recta E π, </s>
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