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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[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.
[71.] Linea horæ 21. ab ortu vel occaſu.
[72.] Linea horæ 20. ab ortu vel occaſu.
[73.] Linea horæ 19. ab ortu vel occaſu.
[74.] Linea horæ 18. ab ortu vel occaſu.
[75.] Linea horæ 17. ab ortu vel occaſu.
[76.] Linea horæ 16. ab ortu vel occaſu.
[77.] Linea horæ 15. ab ortu vel occaſu.
[78.] Linea horæ 14. ab ortu vel occaſu.
[79.] Linea horæ 13. ab ortu vel occaſu.
[80.] In horologio, quod circulo horæ 13. ab ortu vel occaſu æquidiſtat, lineæ quarumlibet duarum horarum huius tabu læ ſunt, ex ſcholio propoſ. 22. parallelæ.
[81.] Linea horæ 11. ab ortu vel occaſu.
[82.] Linea horæ 10. ab ortu vel occaſu.
[83.] In horologio, quod circulo horæ 10. ab ortu vel occaſu æquidiſtat, lineæ quarumcunque duarum horarum huius tabulæ, ſunt parallelæ, vt conſtat ex ſcho io propoſ. 22.
[84.] Linea horæ 9. ab ortu vel occaſu.
[85.] Linea horæ 8. ab ortu vel occaſu.
[86.] Linea horæ 7. ab ortu vel occaſu.
[87.] Linea horæ 6. ab ortu vel occaſu.
[88.] Linea horæ 5. ab ortu vel occaſu.
[89.] Linea horæ 4. ab ortu vel occaſu.
[90.] Linea horæ 3. ab ortu vel occaſu.
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8868GNOMONICES
Linea horæ 8. ab ortu vel occaſu.
11
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 # 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. # Horę à meridie \\ vel media nocte {1/4} # 4 {1/8} # 4 {1/4} # 6 {1/8} # 8 {1/4} # 8 {1/8} # 12 {1/4} # 10 {1/8} # 16 {1/4} # {1/8} # 20 {1/4} # 2 {1/8} {1/2} # 4 {1/4} # 4 {1/2} # 6 {1/4} # 8 {1/2} # 8 {1/4} # 12 {1/2} # 10 {1/4} # 16 {1/2} # {1/4} # 20 {1/2} # 2 {1/4} {3/4} # 4 {3/8} # 4 {3/4} # 6 {3/8} # 8 {3/4} # 8 {3/8} # 12 {3/4} # 10 {3/8} # 16 {3/4} # {3/8} # 20 {3/4} # 2 {3/8} 1 # 4 {1/2} # 5 # {1/2} # 9 # 8 {1/2} # 13 # 10 {1/2} # 17 # {1/2} # 21 # 2 {1/2} 1 {1/4} # 4 {5/8} # 5 {1/4} # 6 {5/8} # 9 {1/4} # 8 {5/8} # 13 {1/4} # 10 {5/8} # 17 {1/4} # {5/8} # 21 {1/4} # 2 {5/8} 1 {1/2} # 4 {3/4} # 5 {1/2} # 6 {3/4} # 9 {1/2} # 8 {3/4} # 13 {1/2} # 10 {3/4} # 17 {1/2} # {3/4} # 21 {1/2} # 2 {3/4} 1 {3/4} # 4 {7/8} # 5 {3/4} # 6 {7/8} # 9 {3/4} # 8 {7/8} # 13 {3/4} # 10 {7/8} # 17 {3/4} # {7/8} # 21 {3/4} # 2 {7/8} 2 # V # 6 # VII # 10 # IX # 14 # XI # 18 # I # 22 # III 2 {1/4} # 5 {1/8} # 6 {1/4} # 7 {1/8} # 10 {1/4} # 9 {1/8} # 14 {1/4} # 11 {1/8} # 18 {1/4} # 1 {1/8} # 22 {1/4} # 3 {1/8} 2 {1/2} # 5 {1/4} # 6 {1/2} # 7 {1/4} # 10 {1/2} # 9 {1/4} # 14 {1/2} # 11 {1/4} # 18 {1/2} # 1 {1/4} # 22 {1/2} # 3 {1/4} 2 {3/4} # 5 {3/8} # 6 {3/4} # 7 {3/8} # 10 {3/4} # 9 {3/8} # 14 {3/4} # 11 {3/8} # 10 {3/4} # 1 {3/8} # 22 {3/4} # 3 {3/8} 3 # 5 {1/2} # 7 # 7 {1/2} # 11 # 9 {1/2} # 15 # 11 {1/2} # 19 # 1 {1/2} # 23 # 3 {1/2} 3 {1/4} # 5 {5/8} # 7 {1/4} # 7 {5/8} # 11 {1/4} # 9 {5/8} # 15 {1/4} # 11 {5/8} # 19 {1/4} # 1 {5/8} # 23 {1/4} # 3 {5/8} 3 {1/2} # 5 {3/4} # 7 {1/2} # 7 {3/4} # 11 {1/2} # 9 {3/4} # 15 {1/2} # 11 {3/4} # 19 {1/2} # 1 {3/4} # 23 {1/2} # 3 {3/4} 3 {3/4} # 5 {7/8} # 7 {3/4} # 7 {7/8} # 11 {3/4} # 9 {7/8} # 15 {3/4} # 11 {7/8} # 19 {3/4} # 1 {7/8} # 23 {3/4} # 3 {7/8} 4 # VI # 8 # VIII # 12 # X # 16 # XII # 20 # II # 24 #
In horologio, quod circulo horæ 8. ab ortu vel occaſu æquidiſtat, lineæ quar umlibet duarum horarum huius ta-
bulæ parallelæ ſunt, vt patet ex ſcholio propoſ.
22.
2230
Linea horæ 7. ab ortu vel occaſu.
33
Horæ ab ortu \\ vel occaſu. # Horę a meridie \\ vel media nocte # 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. # Horę a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ a meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horę à meridie \\ vel media nocte {1/4} # 3 {5/8} # 4 {1/4} # 5 {5/8} # 8 {1/4} # 7 {5/8} # 12 {1/4} # 9 {5/8} # 16 {1/4} # 11 {5/8} # 20 {1/4} # 1 {5/8} {1/2} # 3 {3/4} # 4 {1/2} # 5 {3/4} # 8 {1/2} # 7 {3/4} # 12 {1/2} # 9 {3/4} # 16 {1/2} # 11 {3/4} # 20 {1/2} # 1 {3/4} {3/4} # 3 {7/8} # 4 {3/4} # 5 {7/8} # 8 {3/4} # 7 {7/8} # 12 {3/4} # 9 {7/8} # 16 {3/4} # 11 {7/8} # 20 {3/4} # 1 {7/8} 1 # IIII # 5 # VI # 9 # VIII # 13 # X # 17 # XII # 21 # II 1 {1/4} # 4 {1/8} # 5 {1/4} # 6 {1/8} # 9 {1/4} # 8 {1/8} # 13 {1/4} # 10 {1/8} # 17 {1/4} # {1/8} # 21 {1/4} # 2 {1/8} 1 {1/2} # 4 {1/4} # 5 {1/2} # 6 {1/4} # 9 {1/2} # 8 {1/4} # 13 {1/2} # 10 {1/4} # 17 {1/2} # {1/4} # 21 {1/2} # 2 {1/4} 1 {3/4} # 4 {3/8} # 5 {3/4} # 6 {3/8} # 9 {3/4} # 8 {3/8} # 13 {3/4} # 10 {3/8} # 17 {3/4} # {3/8} # 21 {3/4} # 2 {3/8} 2 # 4 {1/2} # 6 # 6 {1/2} # 10 # 8 {1/2} # 14 # 10 {1/2} # 18 # {1/2} # 22 # 2 {1/2} 2 {1/4} # 4 {5/8} # 6 {1/4} # 6 {5/8} # 10 {1/4} # 8 {5/8} # 14 {1/4} # 10 {5/8} # 18 {1/4} # {5/8} # 22 {1/4} # 2 {5/8} 2 {1/2} # 4 {3/4} # 6 {1/2} # 6 {3/4} # 10 {1/2} # 8 {3/4} # 14 {1/2} # 10 {3/4} # 18 {1/2} # {3/4} # 22 {1/2} # 2 {3/4} 2 {3/4} # 4 {7/8} # 6 {3/4} # 6 {7/8} # 10 {3/4} # 8 {7/8} # 14 {3/4} # 10 {7/8} # 18 {3/4} # {7/8} # 22 {3/4} # 2 {7/8} 3 # V # 7 # VII # 11 # IX # 15 # XI # 19 # I # 23 # III 3 {1/4} # 5 {1/8} # 7 {1/4} # 7 {1/8} # 11 {1/4} # 9 {1/8} # 15 {1/4} # 11 {1/8} # 19 {1/4} # 1 {1/8} # 23 {1/4} # 3 {1/8} 3 {1/2} # 5 {1/4} # 7 {1/2} # 7 {1/4} # 11 {1/2} # 9 {1/4} # 15 {1/2} # 11 {1/4} # 19 {1/2} # 1 {1/4} # 23 {1/2} # 3 {1/4} 3 {3/4} # 5 {3/8} # 7 {3/4} # 7 {3/8} # 11 {3/4} # 9 {3/8} # 15 {3/4} # 11 {3/8} # 19 {3/4} # 1 {3/8} # 23 {3/4} # 3 {3/8} 4 # 5 {1/2} # 8 # 7 {1/2} # 12 # 9 {1/2} # 16 # 11 {1/2} # 20 # 1 {1/2} # 24 # 3
In horologio, quod circulo horæ 7. ab ortu vel occaſu æquidistat, lineæ quarumuis duarum horarum huius
tabulæ ſunt parallelæ, vt in ſcholio propoſ.
22. dcmonſtr auimus.

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