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 contents

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[161.] I. Sole exiſtente in principio ♈.
[162.] II. Sole exiſtente in principio ♎.
[163.] III. Sole exiſtente in principio ♋.
[164.] IIII. Sole exiſtente in principio ♑.
[165.] Arcus ſemidiurni in initijs ſignorum, ad latitudinem grad. 42.
[166.] VI. Mediationes cœli, & anguli terræ, eorumq́; declinationes, orientibus 12. ſignorum Zodiaci initiis, ad latitudinem grad. 42.
[167.] VII. Puncta Eclipticæ in circulo horę 6. conſtituta, eorumq́ue declinationes, orientibus 12. ſignorum Zodiaci principijs, ad latitudinem grad. 42.
[168.] VIII. Puncta Eclipticæ in circulo horę 11. exiſtentia, eorumq́; declinationes, cum principia 12. ſignorum Zodiaci oriuntur, ad latitudinem grad. 42.
[169.] SCHOLIVM.
[170.] SEQVVNTVR TABELLÆ.
[171.] PROBLEMA. 10. PROPOSITIO 10.
[172.] SCHOLIVM.
[173.] PROBLEMA. 11. PROPOSITIO 11.
[174.] SCHOLIVM.
[175.] PROBLEMA 12. PROPOSITIO 12.
[176.] SCHOLIVM.
[177.] DE HOROLOGIIS VERTICALIBVS. PROBLEMA 13. PROPOSITIO 13.
[178.] SCHOLIVM.
[179.] PROBLEMA 14. PROPOSITIO 14.
[180.] SCHOLIVM.
[181.] PROBLEMA 15. PROPOSITIO 15.
[182.] PROBLEMA. 16. PROPOSITIO 16.
[183.] SCHOLIVM.
[184.] PROBLEMA 17. PROPOSITIO 17.
[185.] PROBLEMA 18. PROPOSITIO 18.
[186.] SCHOLIVM.
[187.] PROBLEMA 19. PROPOSITIO 19.
[188.] PROBLEMA 20. PROPOSITIO 20.
[189.] SCHOLIVM.
[190.] PROBLEMA 21. PROPOSITIO 21.
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            <s xml:id="echoid-s14102" xml:space="preserve">
              <pb o="205" file="0225" n="225" rhead="LIBER SECVNDVS."/>
            & </s>
            <s xml:id="echoid-s14103" xml:space="preserve">punctum H, emiſſæ lineæ rectæ dabunt lineas horarias à meridie, vel media nocte in plano,
              <lb/>
            quod Verticali æquidiſtat, quarum ordinem paulo infra explicabimus in vtroque horologio. </s>
            <s xml:id="echoid-s14104" xml:space="preserve">Pro
              <lb/>
            hora verò ſexta ducenda eſt per H, linea C L, ad H E, perpendicularis, vel ipſi F K, æquidiſtans.
              <lb/>
            </s>
            <s xml:id="echoid-s14105" xml:space="preserve">Quæ quidem omnia ita demonſtrabuntur.</s>
            <s xml:id="echoid-s14106" xml:space="preserve"/>
          </p>
          <figure number="156">
            <image file="0225-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0225-01"/>
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          <note position="left" xml:space="preserve">10</note>
          <note position="left" xml:space="preserve">20</note>
          <note position="left" xml:space="preserve">30</note>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s14107" xml:space="preserve">INTELLIGATVR portio Analemmatis horologio ſuperpoſita, ita vt punctum H,
              <lb/>
              <note position="right" xlink:label="note-0225-05" xlink:href="note-0225-05a" xml:space="preserve">Demonſtratio
                <lb/>
              conſtructionis
                <lb/>
              horologii Ver-
                <lb/>
              ticalis.</note>
            puncto H, & </s>
            <s xml:id="echoid-s14108" xml:space="preserve">punctum I, puncto I, atque recta H I, rectæ H I, congruat, (congruet autem ei, pro-
              <lb/>
            pter æqualitatem rectarum H I, H I,) ipſaq́ue portio Analemmatis concipiatur animo recta ad
              <lb/>
              <note position="left" xlink:label="note-0225-06" xlink:href="note-0225-06a" xml:space="preserve">50</note>
            planum horologij, & </s>
            <s xml:id="echoid-s14109" xml:space="preserve">meridiana linea H E, habeat proprium ſitum, ita vt ſit communis ſectio
              <lb/>
            Meridiani & </s>
            <s xml:id="echoid-s14110" xml:space="preserve">plani horologii, punctumq́; </s>
            <s xml:id="echoid-s14111" xml:space="preserve">H, in Auſtrali horologio verſus Zenith, & </s>
            <s xml:id="echoid-s14112" xml:space="preserve">E, verſus Na-
              <lb/>
            dir; </s>
            <s xml:id="echoid-s14113" xml:space="preserve">In Boreali vero punctum H, verſus Nadir, & </s>
            <s xml:id="echoid-s14114" xml:space="preserve">E, verſus Zenith vergat; </s>
            <s xml:id="echoid-s14115" xml:space="preserve">& </s>
            <s xml:id="echoid-s14116" xml:space="preserve">denique recta B C,
              <lb/>
            ad planum horologij ſit perpendicularis, ita vt ſit communis ſectio Meridiani & </s>
            <s xml:id="echoid-s14117" xml:space="preserve">Horizontis, cum
              <lb/>
            D, vertex ſtyli ſit centrum mundi, vt propoſ. </s>
            <s xml:id="echoid-s14118" xml:space="preserve">2. </s>
            <s xml:id="echoid-s14119" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s14120" xml:space="preserve">oſtendimus. </s>
            <s xml:id="echoid-s14121" xml:space="preserve">Vel ſi mauis, loco por-
              <lb/>
            tionis Analemmatis intelligatur duntaxat triangulum D H I, ea ratione, vt diximus, ſuperpoſitũ
              <lb/>
            eſſe horologio, ita vt D H, referat axem mundi, & </s>
            <s xml:id="echoid-s14122" xml:space="preserve">D I, communem ſectionem Meridiani & </s>
            <s xml:id="echoid-s14123" xml:space="preserve">Aequa-
              <lb/>
            toris, & </s>
            <s xml:id="echoid-s14124" xml:space="preserve">tandem D G, ſtylus communem ſectionem Meridiani atque Horizontis per D, centrum
              <lb/>
            mundi ducti. </s>
            <s xml:id="echoid-s14125" xml:space="preserve">Quod quidem triangulum D H I, vna cum gnomone D G, deſcriptum eſt in vtroq;
              <lb/>
            </s>
            <s xml:id="echoid-s14126" xml:space="preserve">horologio. </s>
            <s xml:id="echoid-s14127" xml:space="preserve">His ita poſitis, occurret axis H D, plano horologij in H, & </s>
            <s xml:id="echoid-s14128" xml:space="preserve">Aequatoris diameter D I,
              <lb/>
            in I; </s>
            <s xml:id="echoid-s14129" xml:space="preserve">Horizontis autem diameter D G, in G. </s>
            <s xml:id="echoid-s14130" xml:space="preserve">Quoniam igitur tam planum Aequatoris, quàm </s>
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