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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[91.] Linea horæ 2. ab ortu vel occaſu.
Page: 91 (71)
[92.] In horologio, quod circulo horæ 2. ab ortu vel occaſu æquidiſtat, lineæ quarumlibet duarum horarum huius ta- \\ bulæ ſunt parallelæ, vt ex ſcholio propoſ. 22. patet.
Page: 91 (71)
[93.] Linea horæ 1. ab ortu vel occaſu.
Page: 91 (71)
[94.] Linea horæ 11. a meridie vel media nocte.
Page: 92 (72)
[95.] In horologio, quod circulo horæ 11. à meridie vel media nocte æquidiſtat, lineæ quarumuis duarum horarum \\ huius tabulæ ſunt parallelæ, vt conſtat ex ſcholio propoſ. 22.
Page: 92 (72)
[96.] Linea horæ 10. à meridie vel media nocte.
Page: 92 (72)
[97.] Linea horæ 9. à meridie vel media nocte.
Page: 93 (73)
[98.] In horologio, quod circulo horæ 9. à meridie vel media nocte æquidiſtat, lineæ quarumlibet duarum horarum \\ huius tabulæ ſunt parallelæ, ex ſcholio propoſ. 22.
Page: 93 (73)
[99.] Linea horæ 8. a meridie vel media nocte.
Page: 93 (73)
[100.] Linea horæ 7. a meridie vel media nocte.
Page: 94 (74)
[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)
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        <div xml:id="echoid-div243" type="section" level="1" n="91">
          <head xml:id="echoid-head94" xml:space="preserve">Linea horæ 2. ab ortu vel occaſu.</head>
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            <lb/>
          Horæ ab ortu \\ vel occaſu. # Horę à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte {1/4} # 1 {1/8} # 4 {1/4} # 3 {1/8} # 8 {1/4} # 5 {1/8} # 12 {1/4} # 7 {1/8} # 16 {1/4} # 9 {1/8} # 20 {1/4} # 11 {1/8} {1/2} # 1 {1/4} # 4 {1/2} # 3 {1/4} # 8 {1/2} # 5 {1/4} # 12 {1/2} # 7 {1/4} # 16 {1/2} # 9 {1/4} # 20 {1/2} # 11 {1/4} {3/4} # 1 {3/5} # 4 {3/4} # 3 {3/8} # 8 {3/4} # 5 {3/8} # 12 {3/4} # 7 {3/8} # 16 {3/4} # 9 {3/8} # 20 {3/4} # 11 {3/8} 1 # 1 {1/2} # 5 # 3 {1/2} # 9 # 5 {1/2} # 13 # 7 {1/2} # 17 # 9 {1/2} # 21 # 11 {1/2} 1 {1/4} # 1 {5/8} # 5 {1/4} # 3 {5/8} # 9 {1/4} # 5 {5/8} # 13 {1/4} # 7 {5/8} # 17 {1/4} # 9 {5/8} # 21 {1/4} # 11 {5/8} 1 {1/2} # 1 {3/4} # 5 {1/2} # 3 {3/4} # 9 {1/2} # 5 {3/4} # 13 {1/2} # 7 {3/4} # 17 {1/2} # 9 {3/4} # 21 {1/2} # 11 {3/4} 1 {3/4} # 1 {7/8} # 5 {3/4} # 3 {7/8} # 9 {3/4} # 5 {7/8} # 13 {3/4} # 7 {7/8} # 17 {3/4} # 9 {7/8} # 21 {3/4} # 11 {7/8} 2 # II # 6 # IIII # 10 # VI # 14 # VIII # 18 # X # 22 # XII 2 {1/4} # 2 {1/8} # 6 {1/4} # 4 {1/8} # 10 {1/4} # 6 {1/8} # 14 {1/4} # 8 {1/8} # 18 {1/4} # 10 {1/8} # 22 {1/4} # 12 {1/8} 2 {1/2} # 2 {1/4} # 6 {1/2} # 4 {1/4} # 10 {1/2} # 6 {1/4} # 14 {1/2} # 8 {1/4} # 18 {1/2} # 10 {1/4} # 22 {1/2} # 12 {1/4} 2 {3/4} # 2 {3/8} # 6 {3/4} # 4 {3/8} # 10 {3/4} # 6 {3/8} # 14 {3/4} # 8 {3/8} # 18 {3/4} # 10 {3/8} # 22 {3/4} # 12 {3/8} 3 # 2 {1/2} # 7 # 4 {1/2} # 11 # 6 {1/2} # 15 # 8 {1/2} # 19 # 10 {1/2} # 23 # 12 {1/2} 3 {1/4} # 2 {5/8} # 7 {1/4} # 4 {5/8} # 11 {1/4} # 6 {5/8} # 15 {1/4} # 8 {5/8} # 19 {1/4} # 10 {5/8} # 23 {1/4} # 12 {5/8} 3 {1/2} # 2 {3/4} # 7 {1/2} # 4 {3/4} # 11 {1/2} # 6 {3/4} # 15 {1/2} # 8 {3/4} # 19 {1/2} # 10 {3/4} # 23 {1/2} # 1 {3/4} 3 {3/4} # 2 {7/8} # 7 {3/4} # 4 {7/8} # 11 {3/4} # 6 {7/8} # 15 {3/4} # 8 {7/8} # 19 {3/4} # 10 {7/8} # 23 {3/4} # 1 {7/8} 4 # III # 8 # V # 12 # VII # 16 # IX # 20 # XI # 24 {4/4}
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          # I</note>
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        <div xml:id="echoid-div244" type="section" level="1" n="92">
          <head xml:id="echoid-head95" xml:space="preserve">In horologio, quod circulo horæ 2. ab ortu vel occaſu æquidiſtat, lineæ quarumlibet duarum horarum huius ta- \\ bulæ ſunt parallelæ, vt ex ſcholio propoſ. 22. patet.</head>
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        <div xml:id="echoid-div245" type="section" level="1" n="93">
          <head xml:id="echoid-head96" xml:space="preserve">Linea horæ 1. ab ortu vel occaſu.</head>
          <note position="left" xml:space="preserve"> Horæ ab ortu \\ vel occaſu. # Horę à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horę a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte
            <unsure/>
          # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horę a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte {1/4} # {5/8} # 4 {1/4} # 2 {5/8} # 8 {1/4} # 4 {5/8} # 12 {1/4} # 6 {5/8} # 16 {1/4} # 8 {5/8} # 20 {1/4} # 10 {5/8} {1/2} # {3/4} # 4 {1/2} # 2 {3/4} # 8 {1/2} # 4 {3/4} # 12 {1/2} # 6 {3/4} # 16 {1/2} # 8 {3/4} # 20 {1/2} # 10 {3/4} {3/4} # {7/8} # 4 {3/4} # 2 {7/8} # 8 {3/4} # 4 {7/8} # 12 {3/4} # 6 {7/8} # 16 {3/4} # 8 {7/8} # 20 {3/4} # 10 {7/8} 1 # I # 5 # III # 9 # V # 13 # VII # 17 # IX # 21 # XI 1 {1/4} # 1 {1/8} # 5 {1/4} # 3 {1/8} # 9 {1/4} # 5 {1/8} # 13 {1/4} # 7 {1/8} # 17 {1/4} # 9 {1/8} # 21 {1/4} # 11 {1/8} 1 {1/2} # 1 {1/4} # 5 {1/2} # 3 {1/4} # 9 {1/2} # 5 {1/4} # 13 {1/2} # 7 {1/4} # 17 {1/2} # 9 {1/4} # 21 {1/2} # 11 {1/4} 1 {3/4} # 1 {3/8} # 5 {3/4} # 3 {3/8} # 9 {3/4} # 5 {3/8} # 13 {3/4} # 7 {3/8} # 17 {3/4} # 9 {3/8} # 21 {3/4} # 11 {3/8} 2 # 1 {1/2} # 6 # 3 {1/2} # 10 # 5 {1/2} # 14 # 7 {1/2} # 18 # 9 {1/2} # 22 # 11 {1/2} 2 {1/4} # 1 {5/8} # 6 {1/4} # 3 {5/8} # 10 {1/4} # 5 {5/8} # 14 {1/4} # 7 {5/8} # 18 {1/4} # 9 {5/8} # 22 {1/4} # 11 {5/8} 2 {1/2} # 1 {3/4} # 6 {1/2} # 3 {3/4} # 10 {1/2} # 5 {3/4} # 14 {1/2} # 7 {3/4} # 18 {1/2} # 9 {3/4} # 22 {1/2} # 11 {3/4} 2 {3/4} # 1 {7/8} # 6 {3/4} # 3 {7/8} # 10 {3/4} # 5 {7/8} # 14 {3/4} # 7 {7/8} # 18 {3/4} # 9 {7/8} # 22 {3/4} # 11 {7/8} 3 # II # 7 # IIII # 11 # VI # 15 # VIII # 19 # X # 23 # XII 3 {1/4} # 2 {1/8} # 7 {1/4} # 4 {1/8} # 11 {1/4} # 6 {1/8} # 15 {1/4} # 8 {1/8} # 19 {1/4} # 10 {1/8} # 23 {1/4} # {1/8} 3 {1/2} # 2 {1/4} # 7 {1/2} # 4 {1/4} # 11 {1/2} # 6 {1/4} # 15 {1/2} # 8 {1/4} # 19 {1/2} # 10 {1/4} # 23 {1/2} # {1/4} 3 {3/4} # 2 {3/8} # 7 {3/4} # 4 {3/8} # 11 {3/4} # 6 {3/8} # 15 {3/4} # 8 {3/8} # 19 {3/4} # 10 {3/8} # 23 {3/4} # {3/8} 4 # 2 {1/2} # 8 # 4 {1/2} # 12 # 6 {1/2} # 16 # 8 {1/2} # 20 # 10 {1/2} # 24 # </note>
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            <s xml:id="echoid-s4088" xml:space="preserve">In horologio, quod circulo horæ 1. </s>
            <s xml:id="echoid-s4089" xml:space="preserve">ab ortu vel occaſu æquidistat, lineæ quarumlibet duarum horarum huius
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            tabulæ ſunt parallelæ, vt in ſcholio propoſ. </s>
            <s xml:id="echoid-s4090" xml:space="preserve">22. </s>
            <s xml:id="echoid-s4091" xml:space="preserve">demonstratum eſt à nobis.</s>
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