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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[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.
[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.
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134114GNOMONICES11
## Reliquum arcus \\ diurni horarum \\ 6. & c.
Horę in \\ ęquales \\ diurnę. # Horæ à \\ meri- \\ die.
6 {1/4} # {1/8}
6 {1/2} # {1/4}
6 {3/4} # {3/8}
VII # {1/2}
7 {1/4} # {5/8}
7 {1/2} # {3/4}
7 {3/4} # {7/8}
VIII # I
8 {1/4} # 1 {1/8}
8 {1/2} # 1 {1/4}
8 {3/4} # 1 {3/8}
IX # 1 {1/2}
9 {1/4} # 1 {5/8}
9 {1/2} # 1 {3/4}
9 {3/4} # 1 {7/8}
X # II
10 {1/4} # 2 {1/8}
10 {1/2} # 2 {1/4}
10 {3/4} # 2 {3/8}
XI # 2 {1/2}
11 {1/4} # 2 {5/8}
11 {1/2} # 2 {3/4}
11 {3/4} # 2 {7/8}
XII # III
22
## Reliquum arcus \\ nocturni horarũ \\ 18. & c.
Horę in \\ ęquales \\ noctur. # Horæ à \\ med. no \\ cte.
6 {1/4} # {3/8}
6 {1/2} # {3/4}
6 {3/4} # 1 {1/8}
VII # 1 {1/2}
7 {1/4} # 1 {7/8}
7 {1/2} # 2 {1/4}
7 {3/4} # 2 {5/8}
VIII # III
8 {1/4} # 3 {3/8}
8 {1/2} # 3 {3/4}
8 {3/4} # 4 {1/8}
IX # 4 {1/2}
9 {1/4} # 4 {7/8}
9 {1/2} # 5 {1/4}
9 {3/4} # 5 {5/8}
X # VI
10 {1/4} # 6 {3/8}
10 {1/2} # 6 {3/4}
10 {3/4} # 7 {1/8}
XI # 7 {1/2}
11 {1/4} # 7 {7/8}
11 {1/2} # 8 {1/4}
11 {3/4} # 8 {5/8}
XII # IX
33
## Reliquum arcus \\ diurni horarum \\ 18. & c.
Horę in \\ ęquales \\ diurnę. # Horæ à \\ meri- \\ die.
6 {1/4} # {3/8}
6 {1/2} # {3/4}
6 {3/4} # 1 {1/8}
VII # 1 {1/2}
7 {1/4} # 1 {7/8}
7 {1/2} # 2 {1/4}
7 {3/4} # 2 {5/8}
VIII # III
8 {1/4} # 3 {3/8}
8 {1/2} # 3 {3/4}
8 {3/4} # 4 {1/8}
IX # 4 {1/2}
9 {1/4} # 4 {7/8}
9 {1/2} # 5 {1/4}
9 {3/4} # 5 {5/8}
X # VI
10 {1/4} # 6 {3/8}
10 {1/2} # 6 {3/4}
10 {3/4} # 7 {1/8}
XI # 7 {1/2}
11 {1/4} # 7 {7/8}
11 {1/2} # 8 {1/4}
11 {3/4} # 8 {5/8}
XII # IX
44
## Reliquum arcus \\ nocturni horarũ \\ 6. & c.
Horę in \\ ęquales \\ noctur. # Horę à \\ med. no \\ cte.
6 {1/4} # {1/8}
6 {1/2} # {1/4}
6 {3/4} # {3/8}
VII # {1/2} 7 {1/4} # {5/8} 7 {1/2} # {3/4} 7 {3/4} # {7/8} VIII # I 8 {1/4} # 1 {1/8} 8 {1/2} # 1 {1/4} 8 {3/4} # 1 {3/8} IX # 1 {1/2} 9 {1/4} # 1 {5/8} 9 {1/2} # 1 {3/4} 9 {3/4} # 1 {7/8} X # II 10 {1/4} # 2 {1/8} 10 {1/2} # 2 {1/4} 10 {3/4} # 2 {3/8} XI # 2 {1/2} 11 {1/4} # 2 {5/8} 11 {1/2} # 2 {3/4} 11 {3/4} # 2 {7/8} XII #
55
#### Arcus diurnus horarũ 12. in quo Sol ori- \\ tur hora 6 à med. noc. & hora 12. inæqua \\ li matutina, & ſingulę horę à mer. vel me- \\ dia noc. ſingulis horis inęqualibus diur- \\ nis reſpondent.
Horę in \\ ę quales \\ diurnæ. # Horæ \\ poſt me \\ diã noc.
# Horę in \\ æquales \\ diurnæ. # Horæ \\ poſt me \\ ridiem.
XII # VI # VII # I
I # VII # VIII # II
II # VIII # IX # III
III # IX # X # IIII
IIII # X # XI # V
V # XI # XII # VI
VI # XII
66
#### Arcus nocturnus horarum 12. in quo Sol \\ occidit hora 6. poſt merid. & hora 12. in- \\ ęquali veſpertina, & ſingulę horę à merid. \\ vel med. noc. ſingulis horis inęqualibus \\ nocturnis reſpondent.
Horę in \\ æquales \\ noctur. # Horæ \\ poſt me \\ ridiem. # Horę in \\ æquales \\ noctur. # Horæ \\ poſt me \\ diãnoc. XII # VI # VII # I I # VII # VIII # II II # VIII # IX # III III # IX # X # IIII IIII # X # XI # V V # XI # XII # VI VI # XII
PROBLEMA 13. PROPOSITIO 34.
AMPLITVDINEM ortiuam, occiduamve, & arcum ſemidiur-
num cuiuſuis paralleli, ad datam poli altitudinem in ueſtigare.

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