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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411395LIBER TERTIVS. eſt in ſcholio propoſ. 13. libri ſuperioris. Sed tunc lineæ horarum, quæ prius in ſuperiori horologio indi-
cabant
hor{as} à meridie, ostendent hor{as} à media nocte, &
contra. Pulchrè autem, vt & in anteceden-
tib
{us}, inuerſionẽ hanc declarant lineamẽta horologij ſuperioris deſcripta in facie oppoſita, ita vt ſingula
ſingulis
reſpondeant ad vnguem, dummodo pars ſuperior faciei oppoſitæ fiat inferior, &
contra.
PROBLEMA 38. PROPOSITIO 38.
PARALLELOS, ſiue arcus ſignorum Zodiaci in eodem horo-
logio
, quod &
à Verticali circulo declinat, & ad Horizontem eſt incli-
1110 natum, depingere.
ALTITVDINE poli ſupra planum declinans, & inclinatum ex propoſ. 29. lib. 1. inuenta,
22Arcus fignor@
quo
pacto ex
Analemmate

deſcribantur
.
quam quidem in horologio ſecundum priorem deſcriptionem fabricato in pręcedẽti propoſ.
uel
in
eo, ubi ſtylus eiusq́ue locus dabatur in ſcholio eiuſdem propoſ.
oſtendit angulus K ρ I, quem
271[Figure 271]332044305540 linea ſtyli cum axc mundi efficit, vt diximus, conſtituatur ad ipſam Analemma, ut in propoſ.
2.
præcedentis libri, ita ut arcus CE, in Analemmate comprehendat gradus altitudinis poli in-
6650 uentæ, uel certe angulus CDE, in Analemmate æqualis ſit angulo altitudinis poli K ρ I, in
horologio
inclinato.
Deinde in eodem Analemmate accipiatur recta DG, æqualis ſtylo I K,
quem
nobis offert prima deſcriptio præcedentis propoſ.
uel quem in ſecunda deſcriptione aſ-
ſumpſimus
in portione Analemmatis, einſdem propoſ.
quæ portioni Analemmatis propoſ. 1.
lib. 2. reſpondet, uel certe quem aſſumpſimus in deſcriptione tradita in ſcholio præcedentis
propoſ
.
& per G, agatur recta OR, parallela ipſi BC. Hac etenim ratione in recta R O, in-
ueniemus
diametros conicatum ſectionum, quemadmodum earundem diametros K R, L R,
MR
, NO PO, QO, in horizontali horologio reperiemus propoſ.
2. lib. 2. Vnde ut ibi
docuimus
, ita etiam deſcribentur hic ſectiones conicæ inuentarum diametrorum, hoc eſt, arcus,
paralleli
ſignorum Zodiaci.
Nam ſicut in horologio horizontali circulus Analemmatis A B

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