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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[101.] In horologio, quod circulo horæ 7. à meridie vel media nocte æquidiſtat, lineæ quarumlibet duarum horarum \\ huius tabulæ ſunt parallelæ, vt ex ſcholio propoſ. 22. liquido conſtat.
Page: 94 (74)
[102.] Linea horæ 5. à meridie vel media nocte.
Page: 94 (74)
[103.] Linea horæ quartæ à meridie vel media nocte.
Page: 95 (75)
[104.] In horologio, quod circulo horæ quartæ à merdie vel media nocte æquidiſtat, lineæ quarumlibet duarum hora- \\ rum huius tabulæ ſunt parallelæ, vt ex ſcholio propoſ. 22. manifeſte colligitur.
Page: 95 (75)
[105.] Linea horæ tertiæ à meridie vel media nocte.
Page: 95 (75)
[106.] Linea horæ ſ cundæ à meridie vel media nocte.
Page: 96 (76)
[107.] Linea horæ primæ a meridie vel media nocte.
Page: 96 (76)
[108.] THEOREMA 19. PROPOSITIO 21.
Page: 97 (77)
[109.] COROLLARIVM.
Page: 97 (77)
[110.] SCHOLIVM.
Page: 97 (77)
[111.] THEOREMA 20. PROPOSITIO 22.
Page: 97 (77)
[112.] COROLLARIVM.
Page: 97 (77)
[113.] SCHOLIVM.
Page: 98 (78)
[114.] PROBLEMA 3. PROPOSITIO 23.
Page: 99 (79)
[115.] SCHOLIVM.
Page: 102 (82)
[116.] THEOREMA 21. PROPOSITIO 24.
Page: 109 (89)
[117.] SCHOLIVM.
Page: 110 (90)
[118.] PROBLEMA 4. PROPOSITIO 25.
Page: 110 (90)
[119.] COROLLARIVM.
Page: 111 (91)
[120.] PROBLEMA 5. PROPOSITIO 26.
Page: 111 (91)
[121.] COROLLARIVM.
Page: 112 (92)
[122.] PROBLEMA 6. PROPOSITIO 27.
Page: 113 (93)
[123.] PROBLEMA. 7. PROPOSITIO 28.
Page: 113 (93)
[124.] SCHOLIVM I.
Page: 115 (95)
[125.] COROLLARIVM.
Page: 115 (95)
[126.] SCHOLIVM II.
Page: 116 (96)
[127.] PROBLEMA 8. PROPOSITIO 29.
Page: 119 (99)
[128.] PROBLEMA. 9. PROPOSITIO 30.
Page: 121 (101)
[129.] PROBLEMA 10. PROPOSITIO 31.
Page: 123 (103)
[130.] PROBLEMA 11. PROPOSITIO 32.
Page: 125 (105)
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          <pb o="57" file="0077" n="77" rhead="LIBER PRIMVS."/>
        </div>
        <div xml:id="echoid-div213" type="section" level="1" n="67">
          <head xml:id="echoid-head70" xml:space="preserve">Linea horæ ſextæ à meridie vel media nocte.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. {1/4} # 11 {3/4} # 4 {1/4} # 7 {3/4} # 8 {1/4} # 3 {3/4} # 12 {1/4} # 23 {3/4} # 16 {1/4} # 19 {3/4} # 20 {1/4} # 15 {3/4} {1/2} # 11 {1/2} # 4 {1/2} # 7 {1/2} # 8 {1/2} # 3 {1/2} # 12 {1/2
            <unsure/>
          } # 23 {1/2} # 16 {1/2} # 19 {1/2} # 20 {1/2} # 15 {1/2} {3/4} # 11 {1/4} # 4 {3/4} # 7 {1/4} # 8 {3/4} # 3 {1/4} # 12 {3/4} # 23 {1/4} # 16 {3/4} # 19 {1/4} # 20 {3/4} # 15 {1/4} 1 # 11 # 5 # 7 # 9 # 3 # 13 # 23 # 17 # 19 # 21 # 15 1 {1/4} # 10 {3/4} # 5 {1/4} # 6 {3/4} # 9 {1/4} # 2 {3/4} # 13 {1/4} # 22 {3/4} # 17 {1/4} # 18 {3/4} # 21 {1/4} # 14 {3/4} 1 {1/2} # 10 {1/2} # 5 {1/2} # 6 {1/2} # 9 {1/2} # 2 {1/2} # 13 {1/2} # 22 {1/2} # 17 {1/2} # 18 {1/2} # 21 {1/2} # 14 {1/2} 1 {3/4} # 10 {1/4} # 5 {3/4} # 6 {1/4} # 9 {3/4} # 2 {1/4} # 13 {3/4} # 22 {1/4} # 17 {3/4} # 18 {1/4} # 21 {3/4} # 14 {1/4} 2 # 10 # 6 # 6 # 10 # 2 # 14 # 22 # 18 # 18 # 22 # 14 2 {1/4} # 9 {3/4} # 6 {1/4} # 5 {3/4} # 10 {1/4} # 1 {3/4} # 14 {1/4} # 21 {3/4} # 18 {1/4} # 17 {3/4} # 22 {1/4} # 13 {3/4} 2 {1/2} # 9 {1/2} # 6 {1/2} # 5 {1/2} # 10 {1/2} # 1 {1/2} # 14 {1/2} # 21 {1/2} # 18 {1/2} # 17 {1/2} # 22 {1/2} # 13 {1/2} 2 {3/4} # 9 {1/4} # 6 {3/4} # 5 {1/4} # 10 {3/4} # 1 {1/4} # 14 {3/4} # 21 {1/4} # 18 {3/4} # 17 {1/4} # 22 {3/4} # 13 {1/4} 3 # 9 # 7 # 5 # 11 # 1 # 15 # 21 # 19 # 17 # 23 # 13 3 {1/4} # 8 {3/4} # 7 {1/4} # 4 {3/4} # 11 {1/4} # {3/4} # 15 {1/4} # 20 {3/4} # 19 {1/4} # 16 {3/4} # 23 {1/4} # 12 {3/4} 3 {1/2} # 8 {1/2} # 7 {1/2} # 4 {1/2} # 11 {1/2} # {1/2} # 15 {1/2} # 20 {1/2} # 19 {1/2} # 16 {1/2} # 23 {1/2} # 12 {1/2} 3 {3/4} # 8 {1/4} # 7 {3/4} # 4 {1/4} # 11 {3/4} # {1/4} # 15 {3/4} # 20 {1/4} # 19 {3/4} # 16 {1/4} # 23 {3/4} # 12 {1/4} 4 # 8 # 8 # 4 # 12 # 24 # 16 # 20 # 20 # 16 # 24 # </note>
          <p style="it">
            <s xml:id="echoid-s3678" xml:space="preserve">In horologio Polari lineæ quarumlibet duarum horarum huius tabulę ſunt parallelę. </s>
            <s xml:id="echoid-s3679" xml:space="preserve">Similiter in quibuſdã alijs
              <lb/>
            horologijs parallelæ ſunt lineæ iſtarum horarum, nempe 12. </s>
            <s xml:id="echoid-s3680" xml:space="preserve">& </s>
            <s xml:id="echoid-s3681" xml:space="preserve">24. </s>
            <s xml:id="echoid-s3682" xml:space="preserve">ab ortu vel occaſu, vt ex ſcholio propoſ. </s>
            <s xml:id="echoid-s3683" xml:space="preserve">22.
              <lb/>
            </s>
            <s xml:id="echoid-s3684" xml:space="preserve">apparet.</s>
            <s xml:id="echoid-s3685" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">30</note>
        </div>
        <div xml:id="echoid-div214" type="section" level="1" n="68">
          <head xml:id="echoid-head71" xml:space="preserve">Linea horæ 12. à meridie vel media nocte.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Horæ ab ortu \\ vel occaſu. # Horę ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horę ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. # Horæ ab ortu \\ vel occaſu. {1/4} # 23 {3/4} # 4 {1/4} # 19 {3/4} # 8 {1/4} # 15 {3/4} # 12 {1/4} # 11 {3/4} # 16 {1/4} # 7 {3/4} # 20 {1/4} # 3 {3/4} {1/2} # 23 {1/2} # 4 {1/2} # 19 {1/2} # 8 {1/2} # 15 {1/2} # 12 {1/2} # 11 {1/2} # 16 {1/2} # 7 {1/2} # 20 {1/2} # 3 {1/2} {3/4} # 23 {1/4} # 4 {3/4} # 19 {1/4} # 8 {3/4} # 15 {1/4} # 12 {3/4} # 11 {1/4} # 16 {3/4} # 7 {1/4} # 20 {3/4} # 3 {1/4} 1 # 23 # 5 # 19 # 9 # 15 # 13 # 11 # 17 # 7 # 21 # 3 1 {1/4} # 22 {3/4} # 5 {1/4} # 18 {3/4} # 9 {1/4} # 14 {3/4} # 13 {1/4} # 10 {3/4} # 17 {1/4} # 6 {3/4} # 21 {1/4} # 2 {3/4} 1 {1/2} # 22 {1/2} # 5 {1/2} # 18 {1/2} # 9 {1/2} # 14 {1/2} # 13 {1/2} # 10 {1/2} # 17 {1/2} # 6 {1/2} # 21 {1/2} # 2 {1/2} 1 {3/4} # 22 {1/4} # 5 {3/4} # 18 {1/4} # 9 {3/4} # 14 {1/4} # 13 {3/4} # 10 {1/4} # 17 {3/4} # 6 {1/4} # 21 {3/4} # 2 {1/4} 2 # 22 # 6 # 18 # 10 # 14 # 14 # 10 # 18 # 6 # 22 # 2 2 {1/4} # 21 {3/4} # 6 {1/4} # 17 {3/4} # 10 {1/4} # 13 {3/4} # 14 {1/4} # 9 {3/4} # 18 {1/4} # 5 {3/4} # 22 {1/4} # 1 {3/4} 2 {1/2} # 21 {1/2} # 6 {1/2} # 17 {1/2} # 10 {1/2} # 13 {1/2} # 14 {1/2} # 9 {1/2} # 18 {1/2} # 5 {1/2} # 22 {1/2} # 1 {1/2} 2 {3/4} # 21 {1/4} # 6 {3/4} # 17 {1/4} # 10 {3/4} # 13 {1/4} # 14 {3/4} # 9 {1/4} # 18 {3/4} # 5 {1/4} # 22 {3/4} # 1 {1/4} 3 # 21 # 7 # 17 # 11 # 13 # 15 # 9 # 19 # 5 # 23 # 1 3 {1/4} # 20 {3/4} # 7 {1/4} # 16 {3/4} # 11 {1/4} # 12 {3/4} # 15 {1/4} # 8 {3/4} # 19 {1/4} # 4 {3/4} # 23 {1/4} # {3/4} 3 {1/2} # 20 {1/2} # 7 {1/2} # 16 {1/2} # 11 {1/2} # 12 {1/2} # 15 {1/2} # 8 {1/2} # 19 {1/2} # 4 {1/2} # 23 {1/2} # {1/2} 3 {3/4} # 20 {1/4} # 7 {3/4} # 16 {1/4} # 11 {3/4} # 12 {1/4} # 15 {3/4} # 8 {1/4} # 19 {3/4} # 4 {1/4} # 23 {3/4} # {1/4} 4 # 20 # 8 # 16 # 12 # 12 # 16 # 8 # 20 # 4 # 24 # </note>
          <p style="it">
            <s xml:id="echoid-s3686" xml:space="preserve">In horologio Meridiano lineę quarumlibet duarum horarum huius tabulæ ſunt parallelæ. </s>
            <s xml:id="echoid-s3687" xml:space="preserve">Pari ratione in quibuſ-
              <lb/>
            dam alijs horologijs parallelę ſunt lineæ iſtarum horarum, ſcilicet 18. </s>
            <s xml:id="echoid-s3688" xml:space="preserve">& </s>
            <s xml:id="echoid-s3689" xml:space="preserve">6. </s>
            <s xml:id="echoid-s3690" xml:space="preserve">ab ortu, vel occaſu, vt in ſcholio propo-
              <lb/>
            ſitionis 22. </s>
            <s xml:id="echoid-s3691" xml:space="preserve">demons {1/5}
              <unsure/>
            r abitur.</s>
            <s xml:id="echoid-s3692" xml:space="preserve"/>
          </p>
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