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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            <s xml:id="echoid-s19992" xml:space="preserve">
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            altitudinis poli ſupra Horizontem verſus partes poli manifeſti, vt patet ex portione Analemma-
              <lb/>
            tis propoſ. </s>
            <s xml:id="echoid-s19993" xml:space="preserve">1. </s>
            <s xml:id="echoid-s19994" xml:space="preserve">ſuperioris lib.</s>
            <s xml:id="echoid-s19995" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s19996" xml:space="preserve">DEINDE quia linea indicis, in qua videlicet ſtylus, vel index affigendus eſt, talis eſſe debet,
              <lb/>
            vt ſtylus, vel alia linea ex quocunque eius puncto ad planum horologii perpendicularis educta, in
              <lb/>
            axem mundi cadat, ita vt planum per illam perpendicularem, & </s>
            <s xml:id="echoid-s19997" xml:space="preserve">axem mundi ductum, rectum ſit
              <lb/>
              <note position="left" xlink:label="note-0312-01" xlink:href="note-0312-01a" xml:space="preserve">18. vndec.</note>
              <figure xlink:label="fig-0312-01" xlink:href="fig-0312-01a" number="215">
                <image file="0312-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0312-01"/>
              </figure>
              <note position="left" xlink:label="note-0312-02" xlink:href="note-0312-02a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0312-03" xlink:href="note-0312-03a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0312-04" xlink:href="note-0312-04a" xml:space="preserve">30</note>
              <note position="left" xlink:label="note-0312-05" xlink:href="note-0312-05a" xml:space="preserve">40</note>
            ad planum horologii, inſtar proprii cuiuſdam Meridiani ipſius plani horologii; </s>
            <s xml:id="echoid-s19998" xml:space="preserve">propterea quòd
              <lb/>
            vertex ſtyli, per propoſ. </s>
            <s xml:id="echoid-s19999" xml:space="preserve">2. </s>
            <s xml:id="echoid-s20000" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s20001" xml:space="preserve">1. </s>
            <s xml:id="echoid-s20002" xml:space="preserve">idem eſt, quod centrum mundi, per quod axis mundi tranſit; </s>
            <s xml:id="echoid-s20003" xml:space="preserve">de-
              <lb/>
            monſtrabimus talem eſſe lineam C G, quam diximus eſſe lineam indicis in conſtructione, hoc mo
              <lb/>
            do. </s>
            <s xml:id="echoid-s20004" xml:space="preserve">Intelligatur triangulum E F G, moueri circa rectam E G, donec coniungatur cum plano ho-
              <lb/>
            rologii horizontalis, ipſiq́ue Horizonti æquidiſtet, atque adeò ad planum horologii declinantis
              <lb/>
            rectum ſit. </s>
            <s xml:id="echoid-s20005" xml:space="preserve">Quo poſito, erit recta F G, per defin. </s>
            <s xml:id="echoid-s20006" xml:space="preserve">4. </s>
            <s xml:id="echoid-s20007" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s20008" xml:space="preserve">11. </s>
            <s xml:id="echoid-s20009" xml:space="preserve">Euclidis, ad planum horologii decli-
              <lb/>
              <note position="left" xlink:label="note-0312-06" xlink:href="note-0312-06a" xml:space="preserve">18. vndec.</note>
            nantis perpendicularis, ac proinde cum axis mundi in punctum F, cadat in illo ſitu, vt proximè
              <lb/>
            oſtendimus, quia à puncto β, tunc non differt, erit planum per rectam F G, & </s>
            <s xml:id="echoid-s20010" xml:space="preserve">per axem mundi du
              <lb/>
            ctum, rectum ad planum horologii declinantis, inſtar proprii cuiuſdam Meridiani. </s>
            <s xml:id="echoid-s20011" xml:space="preserve">Quare cum
              <lb/>
            omnes rectæ, quæ in illo plano per axem, & </s>
            <s xml:id="echoid-s20012" xml:space="preserve">rectam F G, ducto ad rectam C G, perpendiculares
              <lb/>
              <note position="left" xlink:label="note-0312-07" xlink:href="note-0312-07a" xml:space="preserve">50</note>
            ducuntur, rectæ ſint ad planum horologii declinantis, ex defin. </s>
            <s xml:id="echoid-s20013" xml:space="preserve">4. </s>
            <s xml:id="echoid-s20014" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s20015" xml:space="preserve">11. </s>
            <s xml:id="echoid-s20016" xml:space="preserve">Euclidis, ſequitur om-
              <lb/>
            nes perpendiculares ad planum horologii ductas ex punctis rectæ C G, in axem mundi cadere, ac
              <lb/>
            proinde rectam C G, lineam ſtyli eſſe, nempe communem ſectionem plani horologii, & </s>
            <s xml:id="echoid-s20017" xml:space="preserve">proprii
              <lb/>
            Meridiani dicti, tanquam lineam meridianam, ſi circulus, cui horologium æquidiſtat, eſſet Hori-
              <lb/>
            zon. </s>
            <s xml:id="echoid-s20018" xml:space="preserve">Quoniam verò recta G H, ſumpta eſt ęqualis rectæ F G, ſi triangulum C G H, intelligatur
              <lb/>
            moueri circa C G, donec rectum ſit ad planum horologii declinantis, atque adeo recta H G, (quæ
              <lb/>
            perpendicularis ducta eſt ad rectam C G) ad idem ſit perpendicularis, cadet punctum H, in pun-
              <lb/>
            ctum F, quòd & </s>
            <s xml:id="echoid-s20019" xml:space="preserve">F G, oſtenſa ſit ad idem planum perpendicularis; </s>
            <s xml:id="echoid-s20020" xml:space="preserve">ac propterea recta C H, axis
              <lb/>
            mundi erit. </s>
            <s xml:id="echoid-s20021" xml:space="preserve">Ex quo efficitur, angulum G C H, eſſe angulum altitudinis poli ſupra planum decli-
              <lb/>
            nans, quia æqualis eſt ei, quem axis mundi, & </s>
            <s xml:id="echoid-s20022" xml:space="preserve">communis ſectio Meridiani ipſius plani declinan-
              <lb/>
            tis, & </s>
            <s xml:id="echoid-s20023" xml:space="preserve">circuli maximi, cui planum horologii æquidiſtat, in centro mundi conſtituunt; </s>
            <s xml:id="echoid-s20024" xml:space="preserve">propterea
              <lb/>
              <note position="left" xlink:label="note-0312-08" xlink:href="note-0312-08a" xml:space="preserve">29. primi.</note>
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