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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[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.
[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.
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8565LIBER PRIMVS.
Linea horæ 15. 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 # 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} # 7 {5/8} # 4 {1/4} # 9 {5/8} # 8 {1/4} # 11 {5/8} # 12 {1/4} # 1 {5/8} # 16 {1/4} # 3 {5/8} # 20 {1/4} # 5 {5/8} {1/2} # 7 {3/4} # 4 {1/2} # 9 {3/4} # 8 {1/2} # 11 {3/4} # 12 {1/2} # 1 {3/4} # 16 {1/2} # 3 {3/4} # 20 {1/2} # 5 {3/4} {3/4} # 7 {7/8} # 4 {3/4} # 9 {7/8} # 8 {3/4} # 11 {7/8} # 12 {3/4} # 1 {7/8} # 16 {3/4} # 3 {7/8} # 20 {3/4} # 5 {7/8} 1 # VIII # 5 # X # 9 # XII # 13 # II # 17 # IIII # 21 # VI 1 {1/4} # 8 {1/8} # 5 {1/4} # 10 {1/8} # 9 {1/4} # {1/8} # 13 {1/4} # 2 {1/8} # 17 {1/4} # 4 {1/8} # 21 {1/4} # 6 {1/8} 1 {1/2} # 8 {1/4} # 5 {1/2} # 10 {1/4} # 9 {1/2} # {1/4} # 13 {1/2} # 2 {1/4} # 17 {1/2} # 4 {1/4} # 21 {1/2} # 6 {1/4} 1 {3/4} # 8 {3/8} # 5 {3/4} # 10 {3/8} # 9 {3/4} # {3/8} # 13 {3/4} # 2 {3/8} # 17 {3/4} # 4 {3/8} # 21 {3/4} # 6 {3/8} 2 # 8 {1/2} # 6 # 10 {1/2} # 10 # {1/2} # 14 # 2 {1/2} # 18 # 4 {1/2} # 22 # 6 {1/2} 2 {1/4} # 8 {5/8} # 6 {1/4} # 10 {5/8} # 10 {1/4} # {5/8} # 14 {1/4} # 2 {5/8} # 18 {1/4} # 4 {5/8} # 22 {1/4} # 6 {5/8} 2 {1/2} # 8 {3/4} # 6 {1/2} # 10 {3/4} # 10 {1/2} # {3/4} # 14 {1/2} # 2 {3/4} # 18 {1/2} # 4 {3/4} # 22 {1/2} # 6 {3/4} 2 {3/4} # 8 {7/8} # 6 {3/4} # 10 {7/8} # 10 {3/4} # {7/8} # 14 {3/4} # 2 {7/8} # 18 {3/4} # 4 {7/8} # 22 {3/4} # 6 {7/8} 3 # IX # 7 # XI # 11 # I # 15 # III # 19 # V # 23 # VII 3 {1/4} # 9 {1/8} # 7 {1/4} # 11 {1/8} # 11 {1/4} # 1 {1/8} # 15 {1/4} # 3 {1/8} # 19 {1/4} # 5 {1/8} # 23 {1/4} # 7 {1/8} 3 {1/2} # 9 {1/4} # 7 {1/2} # 11 {1/4} # 11 {1/2} # 1 {1/4} # 15 {1/2} # 3 {1/4} # 19 {1/2} # 5 {1/4} # 23 {1/2} # 7 {1/4} 3 {3/4} # 9 {3/8} # 7 {3/4} # 11 {3/8} # 11 {3/4} # 1 {3/8} # 15 {3/4} # 3 {3/8} # 19 {3/4} # 5 {3/8} # 23 {3/4} # 7 {3/8} 4 # 9 {1/2} # 8 # 11 {1/2} # 12 # 1 {1/2} # 16 # 3 {1/2} # 20 # 5 {1/2} # 24 # 7
In horologio, quod circulo horæ 15. ab ortu vel occaſu æquidiſtat, lineæ quarumlibet duarum horarum huius tabu
ſunt parallelæ, vt ex ſcholio propoſ.
22. perſpicuum eſt.
2230
Linea horæ 14. ab ortu vel occaſu.
33
Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horę à meridie \\ vel media nocte # 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} # 7 {1/8} # 4 {1/4} # 9 {1/8} # 8 {1/4} # 11 {1/8} # 12 {1/4} # 1 {1/8} # 16 {1/4} # 3 {1/8} # 20 {1/4} # 5 {1/8} {1/2} # 7 {1/4} # 4 {1/2} # 9 {1/4} # 8 {1/2} # 11 {1/4} # 12 {1/2} # 1 {1/4} # 16 {1/2} # 3 {1/4} # 20 {1/2} # 5 {1/4} {3/4} # 7 {3/8} # 4 {3/4} # 9 {3/8} # 8 {3/4} # 11 {3/8} # 12 {3/4} # 1 {3/8} # 16 {3/4} # 3 {3/8} # 20 {3/4} # 5 {3/8} 1 # 7 {1/2} # 5 # 9 {1/2} # 9 # 11 {1/2} # 13 # 1 {1/2} # 17 # 3 {1/2} # 21 # 5 {1/2} 1 {1/4} # 7 {5/8} # 5 {1/4} # 9 {5/8} # 9 {1/4} # 11 {5/8} # 13 {1/4} # 1 {5/8} # 17 {1/4} # 3 {5/8} # 21 {1/4} # 5 {5/8} 1 {1/2} # 7 {3/4} # 5 {1/2} # 9 {3/4} # 9 {1/2} # 11 {3/4} # 13 {1/2} # 1 {3/4} # 17 {1/2} # 3 {3/4} # 21 {1/2} # 5 {3/4} 1 {3/4} # 7 {7/8} # 5 {3/4} # 9 {7/8} # 9 {3/4} # 11 {7/8} # 13 {3/4} # 1 {7/8} # 17 {3/4} # 3 {7/8} # 21 {3/4} # 5 {7/8} 2 # VIII # 6 # X # 10 # XII # 14 # II # 18 # IIII # 22 # VI 2 {1/4} # 8 {1/8} # 6 {1/4} # 10 {1/8} # 10 {1/4} # {1/8} # 14 {1/4} # 2 {1/8} # 18 {1/4} # 4 {1/8} # 22 {1/4} # 6 {1/8} 2 {1/2} # 8 {1/4} # 6 {1/2} # 10 {1/4} # 10 {1/2} # {1/4} # 14 {1/2} # 2 {1/4} # 18 {1/2} # 4 {1/4} # 22 {1/2} # 6 {1/4} 2 {3/4} # 8 {3/8} # 6 {3/4} # 10 {3/8} # 10 {3/4} # {3/8} # 14 {3/4} # 2 {3/8} # 18 {3/4} # 4 {3/8} # 22 {3/4} # 6 {3/8} 3 # 8 {1/2} # 7 # 10 {1/2} # 11 # {1/2} # 15 # 2 {1/2} # 19 # 4 {1/2} # 23 # 6 {1/2} 3 {1/4} # 8 {5/8} # 7 {1/4} # 10 {5/8} # 11 {1/4} # {5/8} # 15 {1/4} # 2 {5/8} # 19 {1/4} # 4 {5/8} # 23 {1/4} # 6 {5/8} 3 {1/2} # 8 {3/4} # 7 {1/2} # 10 {3/4} # 11 {1/2} # {3/4} # 15 {1/2} # 2 {3/4} # 19 {1/2} # 4 {3/4} # 23 {1/2} # 6 {3/4} 3 {3/4} # 8 {7/8} # 7 {3/4} # 10 {7/8} # 11 {3/4} # {7/8} # 15 {3/4} # 2 {7/8} # 19 {3/4} # 4 {7/8} # 23 {3/4} # 6 {7/8} 4 # IX # 8 # XI # 12 # I # 16 # III # 20 # V # 24 #
In horologio, quod circulo horæ 14. ab ortu vel occaſu æquidiſtat, lineę quarumuis duarum horarum huius ta-
bulæ
parallelæ ſunt, vt in ſcholio propoſ.
22. docuimus.

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