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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[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.
[111.] THEOREMA 20. PROPOSITIO 22.
[112.] COROLLARIVM.
[113.] SCHOLIVM.
[114.] PROBLEMA 3. PROPOSITIO 23.
[115.] SCHOLIVM.
[116.] THEOREMA 21. PROPOSITIO 24.
[117.] SCHOLIVM.
[118.] PROBLEMA 4. PROPOSITIO 25.
[119.] COROLLARIVM.
[120.] PROBLEMA 5. PROPOSITIO 26.
[121.] COROLLARIVM.
[122.] PROBLEMA 6. PROPOSITIO 27.
[123.] PROBLEMA. 7. PROPOSITIO 28.
[124.] SCHOLIVM I.
[125.] COROLLARIVM.
[126.] SCHOLIVM II.
[127.] PROBLEMA 8. PROPOSITIO 29.
[128.] PROBLEMA. 9. PROPOSITIO 30.
[129.] PROBLEMA 10. PROPOSITIO 31.
[130.] PROBLEMA 11. PROPOSITIO 32.
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7656GNOMONICES
Linea horæ 24. ab ortu vel occaſu. Vel horizontalis linea.
11
Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media noct@ # 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 à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte {1/4} # {1/8} # 4 {1/4} # 2 {1/8} # 8 {1/4} # 4 {1/8} # 12 {1/4} # 6 {1/8} # 16 {1/4} # 8 {1/8} # 20 {1/4} # 10 {1/8} {1/2} # {1/4} # 4 {1/2} # 2 {1/4} # 8 {1/2} # 4 {1/4} # 12 {1/2} # 6 {1/4} # 16 {1/2} # 8 {1/4} # 20 {1/2} # 10 {1/4} {3/4} # {3/8} # 4 {3/4} # 2 {3/8} # 8 {3/4} # 4 {3/8} # 12 {3/4} # 6 {3/8} # 16 {3/4} # 8 {3/8} # 20 {3/4} # 10 {3/8} 1 # {1/2} # 5 # 2 {1/2} # 9 # 4 {1/2} # 13 # 6 {1/2} # 17 # 8 {1/2} # 21 # 10 {1/2} 1 {1/4} # {5/8} # 5 {1/4} # 2 {5/8} # 9 {1/4} # 4 {5/8} # 13 {1/4} # 6 {5/8} # 17 {1/4} # 8 {5/8} # 21 {1/4} # 10 {5/8} 1 {1/2} # {3/4} # 5 {1/2} # 2 {3/4} # 9 {1/2} # 4 {3/4} # 13 {1/2} # 6 {3/4} # 17 {1/2} # 8 {3/4} # 21 {1/2} # 10 {3/4} 1 {3/4} # {7/8} # 5 {3/4} # 2 {7/8} # 9 {3/4} # 4 {7/8} # 13 {3/4} # 6 {7/8} # 17 {3/4} # 8 {7/8} # 21 {3/4} # 10 {7/8} 2 # I # 6 # III # 10 # V # 14 # VII # 18 # IX # 22 # XI 2 {1/4} # 1 {1/8} # 6 {1/4} # 3 {1/8} # 10 {1/4} # 5 {1/8} # 14 {1/4} # 7 {1/8} # 18 {1/4} # 9 {1/8} # 22 {1/4} # 11 {1/8} 2 {1/2} # 1 {1/4} # 6 {1/2} # 3 {1/4} # 10 {1/2} # 5 {1/4} # 14 {1/2} # 7 {1/4} # 18 {1/2} # 9 {1/4} # 22 {1/2} # 11 {1/4} 2 {3/4} # 1 {3/8} # 6 {3/4} # 3 {3/8} # 10 {3/4} # 5 {3/8} # 14 {3/4} # 7 {3/8} # 18 {3/4} # 9 {3/8} # 22 {3/4} # 11 {3/8} 3 # 1 {1/2} # 7 # 3 {1/2} # 11 # 5 {1/2} # 15 # 7 {1/2} # 19 # 9 {1/2} # 23 # 11 {1/2} 3 {1/4} # 1 {5/8} # 7 {1/4} # 3 {5/8} # 11 {1/4} # 5 {5/8} # 15 {1/4} # 7 {5/8} # 19 {1/4} # 9 {5/8} # 23 {1/4} # 11 {5/8} 3 {1/2} # 1 {3/4} # 7 {1/2} # 3 {3/4} # 11 {1/2} # 5 {3/4} # 15 {1/2} # 7 {3/4} # 19 {1/2} # 9 {3/4} # 23 {1/2} # 11 {3/4} 3 {3/4} # 1 {7/8} # 7 {3/4} # 3 {7/8} # 11 {3/4} # 5 {7/8} # 15 {3/4} # 7 {7/8} # 19 {3/4} # 9 {7/8} # 23 {3/4} # 11 {7/8} 4 # II # 8 # IIII # 12 # VI # 16 # VIII # 20 # X # 24 #
In horologio horizõtali lineæ quarũlibet duarũ horarũ huius tabulę ſunt par@llelę, vt cõſtat ex ſcholio propoſ. 22.
Similiter in quibuſdã alijs horologijs parallelæ ſunt lineæ iſtarũ horarũ, nimirũ 12. ab or. vel occ. & 6. à meridie vel
2230 nedia nocte.
Item 24. ab or. uel occ. & 12. à meridie vel media nocte, vt patet ex eodem ſcholio propoſ. 22.
Linea horæ 12. 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 # 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 à meridie \\ vel media nocte {1/4} # 6 {1/8} # 4 {1/4} # 8 {1/8} # 8 {1/4} # 10 {1/8} # 12 {1/4} # {1/8} # 16 {1/4} # 2 {1/8} # 20 {1/4} # 4 {1/8} {1/2} # 6 {1/4} # 4 {1/2} # 8 {1/4} # 8 {1/2} # 10 {1/4} # 12 {1/2} # {1/4} # 16 {1/2} # 2 {1/4} # 20 {1/2} # 4 {1/4} {3/4} # 6 {3/8} # 4 {3/4} # 8 {3/8} # 8 {3/4} # 10 {3/8} # 12 {3/4} # {3/8} # 16 {3/4} # 2 {3/8} # 20 {3/4} # 4 {3/8} 1 # 6 {1/2} # 5 # 8 {1/2} # 9 # 10 {1/2} # 13 # {1/2} # 17 # 2 {1/2} # 21 # 4 {1/2} 1 {1/4} # 6 {5/8} # 5 {1/4} # 8 {5/8} # 9 {1/4} # 10 {5/8} # 13 {1/4} # {5/8} # 17 {1/4} # 2 {3/8} # 21 {1/4} # 4 {5/8} 1 {1/2} # 6 {3/4} # 5 {1/2} # 8 {3/4} # 9 {1/2} # 10 {3/4} # 13 {1/2} # {3/4} # 17 {1/2} # 2 {3/4} # 21 {1/2} # 4 {3/4} 1 {3/4} # 6 {7/8} # 5 {3/4} # 8 {7/8} # 9 {3/4} # 10 {7/8} # 13 {3/4} # {7/8} # 17 {3/4} # 2 {7/8} # 21 {3/4} # 4 {7/8} 2 # VII # 6 # IX # 10 # XI # 14 # I # 18 # III # 22 # V 2 {1/4} # 7 {1/8} # 6 {1/4} # 9 {1/8} # 10 {1/4} # 11 {1/8} # 14 {1/4} # 1 {1/8} # 18 {1/4} # 3 {1/8} # 22 {1/4} # 5 {1/8} 2 {1/2} # 7 {1/4} # 6 {1/2} # 9 {1/4} # 10 {1/2} # 11 {1/4} # 14 {1/2} # 1 {1/4} # 18 {1/2} # 3 {1/4} # 22 {1/2} # 5 {1/4} 2 {3/4} # 7 {3/8} # 6 {3/4} # 9 {3/8} # 10 {3/4} # 11 {3/8} # 14 {3/4} # 1 {3/8} # 18 {3/4} # 3 {3/8} # 22 {3/4} # 5 {3/8} 3 # 7 {1/2} # 7 # 9 {1/2} # 11 # 11 {1/2} # 15 # 1 {1/2} # 19 # 3 {1/2} # 23 # 5 {1/2} 3 {1/4} # 7 {5/8} # 7 {1/4} # 9 {5/8} # 11 {1/4} # 11 {5/8} # 15 {1/4} # 1 {5/8} # 19 {1/4} # 3 {5/8} # 23 {1/4} # 5 {5/8} 3 {1/2} # 7 {3/4} # 7 {1/2} # 9 {3/4} # 11 {1/2} # 11 {3/4} # 15 {1/2} # 1 {3/4} # 19 {1/2} # 3 {3/4} # 23 {1/2} # 5 {3/4} 3 {3/4} # 7 {7/8} # 7 {3/4} # 9 {7/8} # 11 {3/4} # 11 {7/8} # 15 {3/4} # 1 {7/8} # 19 {3/4} # 3 {7/8} # 23 {3/4} # 5 {7/8} 4 # VIII # 8 # X # 12 # XII # 16 # II # 20 # IIII # 24 #
In horologio V erticali ad latitudinẽgr. 45. vel in horologio, qd' circulo horę 12. ab ortu vel occaſu ęquidiſtat, lineę
quarũlibet duarũ horarũ huius tabulæ ſunt parallelæ.
Pari rõne in quibuſdã alijs horologijs parallelę ſunt lineæ iſta-
rum horarũ.
24. ab ortu, vel occaſu, & 6. à meridie, vel medianocte, vt ex ſcholio propoſ. 22. manifeſtum eſt.

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