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

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[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.
[91.] Linea horæ 2. ab ortu vel occaſu.
[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.
[93.] Linea horæ 1. ab ortu vel occaſu.
[94.] Linea horæ 11. a meridie vel media nocte.
[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.
[96.] Linea horæ 10. à meridie vel media nocte.
[97.] Linea horæ 9. à meridie vel media nocte.
[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.
[99.] Linea horæ 8. a meridie vel media nocte.
[100.] Linea horæ 7. a meridie vel media nocte.
[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.
[102.] Linea horæ 5. à meridie vel media nocte.
[103.] Linea horæ quartæ à meridie vel media nocte.
[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.
[105.] Linea horæ tertiæ à meridie vel media nocte.
[106.] Linea horæ ſ cundæ à meridie vel media nocte.
[107.] Linea horæ primæ a meridie vel media nocte.
[108.] THEOREMA 19. PROPOSITIO 21.
[109.] COROLLARIVM.
[110.] SCHOLIVM.
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8969LIBER PRIMVS.
Linea horæ 6. ab ortu vel occaſu.
11
Horæ ab ortu \\ vel occaſu. # Horæ à meridi \\ 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} # 3 {1/8} # 4 {1/4} # 5 {1/8} # 8 {1/4} # 7 {1/8} # 12 {1/4} # 9 {1/8} # 16 {1/4} # 11 {1/8} # 20 {1/4} # 1 {1/8} {1/2} # 3 {1/4} # 4 {1/2} # 5 {1/4} # 8 {1/2} # 7 {1/4} # 12 {1/2} # 9 {1/4} # 16 {1/2} # 11 {1/4} # 20 {1/2} # 1 {1/4} {3/4} # 3 {3/8} # 4 {3/4} # 5 {3/8} # 8 {3/4} # 7 {3/8} # 12 {3/4} # 9 {3/8} # 16 {3/4} # 11 {3/8} # 20 {3/4} # 1 {3/8} 1 # 3 {1/2} # 5 # 5 {1/2} # 9 # 7 {1/2} # 13 # 9 {1/2} # 17 # 11 {1/2} # 21 # 1 {1/2} 1 {1/4} # 3 {5/8} # 5 {1/4} # 5 {5/8} # 9 {1/4} # 7 {5/8} # 13 {1/4} # 9 {5/8} # 17 {1/4} # 11 {5/8} # 21 {1/4} # 1 {5/8} 1 {1/2} # 3 {3/4} # 5 {1/2} # 5 {3/4} # 9 {1/2} # 7 {3/4} # 13 {1/2} # 9 {3/4} # 17 {1/2} # 11 {3/4} # 21 {1/2} # 1 {3/4} 1 {3/4} # 3 {7/8} # 5 {3/4} # 5 {7/8} # 9 {3/4} # 7 {7/8} # 13 {3/4} # 9 {7/8} # 17 {3/4} # 11 {7/8} # 21 {3/4} # 1 {7/8} 2 # IIII # 6 # VI # 10 # VIII # 14 # X # 18 # XII # 22 # II 2 {1/4} # 4 {1/8} # 6 {1/4} # 6 {1/8} # 10 {1/4} # 8 {1/8} # 14 {1/4} # 10 {1/8} # 18 {1/4} # {1/8} # 22 {1/4} # 2 {1/8} 2 {1/2} # 4 {1/4} # 6 {1/2} # 6 {1/4} # 10 {1/2} # 8 {1/4} # 14 {1/2} # 10 {1/4} # 18 {1/2} # {1/4} # 22 {1/2} # 2 {1/4} 2 {3/4} # 4 {3/8} # 6 {3/4} # 6 {3/8} # 10 {3/4} # 8 {3/8} # 14 {3/4} # 10 {3/8} # 18 {3/4} # {3/8} # 22 {3/4} # 2 {3/8} 3 # 4 {1/2} # 7 # 6 {1/2} # 11 # 8 {1/2} # 15 # 10 {1/2} # 19 # {1/2} # 23 # 2 {1/2} 3 {1/4} # 4 {5/8} # 7 {1/4} # 6 {5/8} # 11 {1/4} # 8 {5/8} # 15 {1/4} # 10 {5/8} # 19 {1/4} # {5/8} # 23 {1/4} # 2 {5/8} 3 {1/2} # 4 {3/4} # 7 {1/2} # 6 {3/4} # 11 {1/2} # 8 {3/4} # 15 {1/2} # 10 {3/4} # 19 {1/2} # {3/4} # 23 {1/2} # 2 {3/4} 3 {3/4} # 4 {7/8} # 7 {3/4} # 6 {7/8} # 11 {3/4} # 8 {7/8} # 15 {3/4} # 10 {7/8} # 19 {3/4} # {7/8} # 23 {3/4} # 2 {7/8} 4 # V # 8 # VII # 12 # IX # 16 # XI # 20 # I # 24 #
In horologio, quod circulo horæ 10. ab ortu vel occaſu æquidiſtat, lineæ quarumuis duarum horarum huius ta-
bulæ, ſunt parallelæ, vt patet ex ſcholio propoſ.
22.
2230
Linea horæ 5. ab ortu vel occaſu.
33
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} # 2 {5/8} # 4 {1/4} # 4 {5/8} # 8 {1/4} # 6 {5/8} # 12 {1/4} # 8 {5/8} # 16 {1/4} # 10 {5/8} # 20 {1/4} # {5/8} {1/2} # 2 {3/4} # 4 {1/2} # 4 {3/4} # 8 {1/2} # 6 {3/4} # 12 {1/2} # 8 {3/4} # 16 {1/2} # 10 {3/4} # 20 {1/2} # {3/4} {3/4} # 2 {7/8} # 4 {3/4} # 4 {7/8} # 8 {3/4} # 6 {7/8} # 12 {3/4} # 8 {7/8} # 16 {3/4} # 10 {7/8} # 20 {3/4} # {7/8} 1 # III # 5 # V # 9 # VII # 13 # IX # 17 # XI # 21 # I 1 {1/4} # 3 {1/8} # 5 {1/4} # 5 {1/8} # 9 {1/4} # 7 {1/8} # 13 {1/4} # 9 {1/8} # 17 {1/4} # 11 {1/8} # 21 {1/4} # 1 {1/8} 1 {1/2} # 3 {1/4} # 5 {1/2} # 5 {1/4} # 9 {1/2} # 7 {1/4} # 13 {1/2} # 9 {1/4} # 17 {1/2} # 11 {1/4} # 21 {1/2} # 1 {1/4} 1 {3/4} # 3 {3/8} # 5 {3/4} # 5 {3/8} # 9 {3/4} # 7 {3/8} # 13 {3/4} # 9 {3/8} # 17 {3/4} # 11 {3/8} # 21 {3/4} # 1 {3/8} 2 # 3 {1/2} # 6 # 5 {1/2} # 10 # 7 {1/2} # 14 # 9 {1/2} # 18 # 11 {1/2} # 22 # 1 {1/2} 2 {1/4} # 3 {5/8} # 6 {1/4} # 5 {5/8} # 10 {1/4} # 7 {5/8} # 14 {1/4} # 9 {5/8} # 18 {1/4} # 11 {5/8} # 22 {1/4} # 1 {5/8} 2 {1/2} # 3 {3/4} # 6 {1/2} # 5 {3/4} # 10 {1/2} # 7 {3/4} # 14 {1/2} # 9 {3/4} # 18 {1/2} # 11 {3/4} # 22 {1/2} # 1 {3/4} 2 {3/4} # 3 {7/8} # 6 {3/4} # 5 {7/8} # 10 {3/4} # 7 {7/8} # 14 {3/4} # 9 {7/8} # 18 {3/4} # 11 {7/8} # 22 {3/4} # 1 {7/8} 3 # IIII # 7 # VI # 11 # VIII # 15 # X # 19 # XII # 23 # II 3 {1/4} # 4 {1/8} # 7 {1/4} # 6 {1/8} # 11 {1/4} # 8 {1/8} # 15 {1/4} # 10 {1/8} # 19 {1/4} # {1/8} # 23 {1/4} # 2 {1/8} 3 {1/2} # 4 {1/4} # 7 {1/2} # 6 {1/4} # 11 {1/2} # 8 {1/4} # 15 {1/2} # 10 {1/4} # 19 {1/2} # {1/4} # 23 {1/2} # 2 {1/4} 3 {3/4} # 4 {3/8} # 7 {3/4} # 6 {3/8} # 11 {3/4} # 8 {3/8} # 15 {3/4} # 10 {3/8} # 19 {3/4} # {3/8} # 23 {3/4} # 2 {3/8} 4 # 4 {1/2} # 8 # 6 {1/2} # 12 # 8 {1/2} # 16 # 10 {1/2} # 20 # {1/2} # 24 # 2
In horologio, quod circulo boræ 5. ab ortu vel occaſu æquidiſtat, lineę quar umlibet duarum horarum huius ta-
bulæ ſunt parallelæ, exijs, quæ in ſcholio propoſ.
22. oſtendimus.

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