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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[41.] COROLLARIVM.
[42.] SCHOLIVM.
[43.] THEOREMA 9. PROPOSITIO 11.
[44.] SCHOLIVM.
[45.] COROLLARIVM PRIMVM.
[46.] COROLLARIVM II.
[47.] THEOREMA 10. PROPOSITIO 12.
[48.] COROLLARIVM.
[49.] THEOREMA 11. PROPOSITIO 13.
[50.] THEOREMA 12. PROPOSITIO 14.
[51.] SCHOLIVM.
[52.] THEOREMA 13. PROPOSITIO 15.
[53.] LEMMA.
[54.] COROLLARIVM.
[55.] THEOREMA 14. PROPOSITIO 16.
[56.] COROLLARIVM.
[57.] THEOREMA 15. PROPOSITIO 17.
[58.] LEMMA.
[59.] SCHOLIVM.
[60.] THEOREMA 16. PROPOSITIO 18.
[61.] THEOREMA 17. PROPOSITIO 19.
[62.] SCHOLIVM.
[63.] THEOREMA 18. PROPOSITIO 20.
[64.] SCHOLIVM.
[65.] Linea horæ 24. ab ortu vel occaſu. Vel horizontalis linea.
[66.] Linea horæ 12. ab ortu vel occaſu.
[67.] Linea horæ ſextæ à meridie vel media nocte.
[68.] Linea horæ 12. à meridie vel media nocte.
[69.] Linea horæ 23. ab ortu vel occaſu.
[70.] Linea horæ 22. ab ortu vel occaſu.
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        <div xml:id="echoid-div234" type="section" level="1" n="82">
          <head xml:id="echoid-head85" xml:space="preserve">Linea horæ 10. ab ortu vel occaſu.</head>
          <note position="right" xml:space="preserve">
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          Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horę à meridie \\ vel media noct@ # 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 à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte {1/4} # 5 {1/8} # 4 {1/4} # 7 {1/8} # 8 {1/4} # 9 {1/8} # 12 {1/4} # 11 {1/8} # 16 {1/4} # 1 {1/8} # 20 {1/4} # 3 {1/8} {1/2} # 5 {1/4} # 4 {1/2} # 7 {1/4} # 8 {1/2} # 9 {1/4} # 12 {1/2} # 11 {1/4} # 16 {1/2} # 1 {1/4} # 20 {1/2} # 3 {1/4} {3/4} # 5 {3/8} # 4 {3/4} # 7 {3/8} # 8 {3/4} # 9 {3/8} # 12 {3/4} # 11 {3/8} # 16 {3/4} # 1 {3/8} # 20 {3/4} # 3 {3/8} 1 # 5 {1/2} # 5 # 7 {1/2} # 9 # 9 {1/2} # 13 # 11 {1/2} # 17 # 1 {1/2} # 21 # 3 {1/2} 1 {1/4} # 5 {5/8} # 5 {1/4} # 7 {5/8} # 9 {1/4} # 9 {5/8} # 13 {1/@} # 11 {5/8} # 17 {1/4} # 1 {5/8} # 21 {1/4} # 3 {5/8} 1 {1/2} # 5 {3/4} # 5 {1/2} # 7 {3/4} # 9 {1/2} # 9 {3/4} # 13 {1/2} # 11 {3/4} # 17 {1/2} # 1 {3/4} # 21 {1/2} # 3 {3/4} 1 {3/4} # 5 {7/8} # 5 {3/4} # 7 {7/8} # 9 {3/4} # 9 {7/8} # 13 {3/4} # 11 {7/8} # 17 {3/4} # 1 {7/8} # 21 {3/4} # 3 {7/8} 2 # VI # 6 # VIII # 10 # X # 14 # XII # 18 # II # 22 # IIII 2 {1/4} # 6 {1/8} # 6 {1/4} # 8 {1/8} # 10 {1/4} # 10 {1/8} # 14 {1/4} # {1/8} # 18 {1/4} # 2 {1/8} # 22 {1/4} # 4 {1/8} 2 {1/2} # 6 {1/4} # 6 {1/2} # 8 {1/4} # 10 {1/2} # 10 {1/4} # 14 {1/2} # {1/4} # 18 {1/2} # 2 {1/4} # 22 {1/2} # 4 {1/4} 2 {3/4} # 6 {3/8} # 6 {3/4} # 8 {3/8} # 10 {3/4} # 10 {3/8} # 14 {3/4} # {3/8} # 18 {3/4} # 2 {3/8} # 22 {3/4} # 4 {3/8} 3 # 6 {1/2} # 7 # 8 {1/2} # 11 # 10 {1/2} # 15 # {1/2} # 19 # 2 {1/2} # 23 # 4 {1/2} 3 {1/4} # 6 {5/8} # 7 {1/4} # 8 {5/8} # 11 {1/4} # 10 {5/8} # 15 {1/4} # {5/8} # 19 {1/4} # 2 {5/8} # 23 {1/4} # 4 {5/8} 3 {1/2} # 6 {3/4} # 7 {1/2} # 8 {3/4} # 11 {1/2} # 10 {3/4} # 15 {1/2} # {3/4} # 19 {1/2} # 2 {3/4} # 23 {1/2} # 4 {3/4} 3 {3/4} # 6 {7/8} # 7 {3/4} # 8 {7/8} # 11 {3/4} # 10 {7/8} # 15 {3/4} # {7/8} # 19 {3/4} # 2 {7/8} # 23 {3/4} # 4 {7/8} 4 # VII # 8 # IX # 12 # XI # 16 # I # 20 # III # 24 # V</note>
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        <div xml:id="echoid-div235" type="section" level="1" n="83">
          <head xml:id="echoid-head86" xml:space="preserve">In horologio, quod circulo horæ 10. ab ortu vel occaſu æquidiſtat, lineæ quarumcunque duarum horarum huius
            <lb/>
          tabulæ, ſunt parallelæ, vt conſtat ex ſcho io propoſ. 22.</head>
          <note position="left" xml:space="preserve">30</note>
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        <div xml:id="echoid-div236" type="section" level="1" n="84">
          <head xml:id="echoid-head87" xml:space="preserve">Linea horæ 9. ab ortu vel occaſu.</head>
          <note position="left" xml:space="preserve"> Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horę ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horę ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte {1/4} # 4 {5/8} # 4 {1/4} # 6 {5/8} # 8 {1/4} # 8 {5/8} # 12 {1/4} # 10 {5/8} # 16 {1/4} # {5/8} # 20 {1/4} # 2 {5/8} {1/2} # 4 {3/4} # 4 {1/2} # 6 {3/4} # 8 {1/2} # 8 {3/4} # 12 {1/2} # 10 {3/4} # 16 {1/2} # {3/4} # 20 {1/2} # 2 {3/4} {3/4} # 4 {7/8} # 4 {3/4} # 6 {7/8} # 8 {3/4} # 8 {7/8} # 12 {3/4} # 10 {7/8} # 16 {3/4} # {7/8} # 20 {3/4} # 2 {7/8} 1 # V # 5 # VII # 9 # IX # 13 # XI # 17 # I # 21 # III 1 {1/4} # 5 {1/8} # 5 {1/4} # 7 {1/8} # 9 {1/4} # 9 {1/8} # 13 {1/4} # 11 {1/8} # 17 {1/4} # 1 {1/8} # 21 {1/4} # 3 {1/8} 1 {1/2} # 5 {1/4} # 5 {1/2} # 7 {1/4} # 9 {1/2} # 9 {1/4} # 13 {1/2} # 11 {1/4} # 17 {1/2} # 1 {1/4} # 21 {1/2} # 3 {1/4} 1 {3/4} # 5 {3/8} # 5 {3/4} # 7 {3/8} # 9 {3/4} # 9 {3/8} # 13 {3/4} # 11 {3/8} # 17 {3/4} # 1 {3/8} # 21 {3/4} # 3 {3/8} 2 # 5 {1/2} # 6 # 7 {1/2} # 10 # 9 {1/2} # 14 # 11 {1/2} # 18 # 1 {1/2} # 22 # 3 {1/2} 2 {1/4} # 5 {5/8} # 6 {1/4} # 7 {5/8} # 10 {1/4} # 9 {5/8} # 14 {1/4} # 11 {5/8} # 18 {1/4} # 1 {5/8} # 22 {1/4} # 3 {5/8} 2 {1/2} # 5 {3/4} # 6 {1/2} # 7 {3/4} # 10 {1/2} # 9 {3/4} # 14 {1/2} # 11 {3/4} # 18 {1/2} # 1 {3/4} # 22 {1/2} # 3 {3/4} 2 {3/4} # 5 {7/8} # 6 {3/4} # 7 {7/8} # 10 {3/4} # 9 {7/8} # 14 {3/4} # 11 {7/8} # 18 {3/4} # 1 {7/8} # 22 {3/4} # 3 {7/8} 3 # VI # 7 # VIII # 11 # X # 15 # XII # 19 # II # 23 # IIII 3 {1/4} # 6 {1/8} # 7 {1/4} # 8 {1/8} # 11 {1/4} # 10 {1/8} # 15 {1/4} # {1/8} # 19 {1/4} # 2 {1/8} # 23 {1/4} # 4 {1/8} 3 {1/2} # 6 {1/4} # 7 {1/2} # 8 {1/4} # 11 {1/2} # 10 {1/4} # 15 {1/2} # {1/4} # 19 {1/2} # 2 {1/4} # 23 {1/2} # 4 {1/4} 3 {3/4} # 6 {3/8} # 7 {3/4} # 8 {3/8} # 11 {3/4} # 10 {3/8} # 15 {3/4} # {3/8} # 19 {3/4} # 2 {3/8} # 23 {3/4} # 4 {3/8} 4 # 6 {1/2} # 8 # 8 {1/2} # 12 # 10 {1/2} # 16 # {1/2} # 20 # 2 {1/2} # 24 # 4 </note>
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            <s xml:id="echoid-s4058" xml:space="preserve">In horologio, quod circulo horæ 9. </s>
            <s xml:id="echoid-s4059" xml:space="preserve">ab ortu vel occaſu æquidiſtat, lineę quarumlibet duarum horarum huius ta-
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            bulæ ſunt parallelæ, vt conſtat ex ſcholio propoſ. </s>
            <s xml:id="echoid-s4060" xml:space="preserve">22.</s>
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