Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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<
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xml:space
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<
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<
s
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xml:space
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">Amplitudinem ortiuam & </
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>
<
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echoid-s6815
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echoid-s6816
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">erraticarum
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adinuenire.</
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<
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echoid-s6817
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</
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<
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<
s
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echoid-s6818
"
xml:space
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">Primum omnium conſidera hic an declinatio ſtellæ, cuius amplitudinem ſcire cu-
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pis, minor ſituel maior complemento eleuationis poli, cui ſi fuerit æqualis, ſcias eã ſtel
<
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lam nec oriri, neoccidere, ſed ad momentum temporis horizontem leuiter tantũ tan-
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gere: </
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>
<
s
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echoid-s6819
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xml:space
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">ſed ſi illa maior extiterit, ſtelia iſta nunquàm ſub horizontem deſcendit, uerumta-
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men ſi minor fuerit, tunc demum ſtella quolibet die naturali occidit & </
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>
<
s
xml:id
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echoid-s6820
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xml:space
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">oritur, quæcun
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ergo horizontem non attingit, nec ortiuam ne occiduam habet amplitudinem, ſicut in
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hoc exemplo conſpicies. </
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>
<
s
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echoid-s6821
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<
s
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echoid-s6822
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xml:space
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">? Superius iam tractaui ſtellam quartã Agitatoris, quòd ea
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note-0082-01
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PLVM
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E
<
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</
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ſub horam intronizationis cum Sole in uno penè ſemicirculo poſitionis fuerit, & </
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<
s
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echoid-s6823
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ni declinationem ipſius ex 85. </
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<
s
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echoid-s6824
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xml:space
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">& </
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<
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echoid-s6825
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<
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<
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echoid-s6827
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<
s
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echoid-s6828
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<
s
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echoid-s6829
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<
s
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echoid-s6830
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">quia ergo locus introni
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zationis factæ in latitudine habet tantum 48. </
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<
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<
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<
s
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echoid-s6833
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<
s
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echoid-s6834
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xml:space
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">complementum eius eſt 41.
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</
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<
s
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echoid-s6835
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<
s
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echoid-s6836
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<
s
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="
echoid-s6837
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">mi. </
s
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<
s
xml:id
="
echoid-s6838
"
xml:space
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">ecce iam quia declinatio ſtellæ uno gradu 35. </
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>
<
s
xml:id
="
echoid-s6839
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">mi. </
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>
<
s
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="
echoid-s6840
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xml:space
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">maior eſt, horizõtem attin
<
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gere non poteſt, ſed Auguſtæ ſuper horizontem ſemper apparet. </
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>
<
s
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="
echoid-s6841
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xml:space
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">Quæcun autem ſtel
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<
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style
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<
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<
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<
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>
la declinationem habet minorem, eius amplitudinem ſic quæres. </
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>
<
s
xml:id
="
echoid-s6842
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">Declinationem ſtellæ
<
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quære per 85. </
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>
<
s
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echoid-s6843
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">uel 86. </
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>
<
s
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echoid-s6844
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">ſinum eius duc in totum, productum diuide in ſinum complementi
<
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altitudinis poli, ſi complementum fuerit declinatione maius, ſi non, planè contrario
<
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modo operare, & </
s
>
<
s
xml:id
="
echoid-s6845
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">arcus quotientis dabit amplitudinem ſtellæ. </
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>
<
s
xml:id
="
echoid-s6846
"
xml:space
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">Atqui ut declinatiões ſtel
<
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larum facilius inquiras, ecce tibi propono gradum Mercurij, in quo fuit ipſa hora intro
<
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nizationis, puta in 10. </
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<
s
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<
s
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">12. </
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<
s
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">mi. </
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<
s
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">♉, habu@´ latitudinem ab eclyptica 3. </
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<
s
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<
s
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echoid-s6852
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<
s
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echoid-s6853
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</
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<
s
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="
echoid-s6854
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">declinatio eius fuit 11. </
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<
s
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echoid-s6855
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<
s
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echoid-s6856
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<
s
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echoid-s6857
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">mi. </
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<
s
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echoid-s6858
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">ſinus autem 40767. </
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>
<
s
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echoid-s6859
"
xml:space
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">eum duco in totum, & </
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>
<
s
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="
echoid-s6860
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">productũ
<
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diuido in ſinum complementi loci, in quo facta eſt intronizatio, complementum iſtud
<
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eſt 41. </
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<
s
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">gra. </
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<
s
xml:id
="
echoid-s6862
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">40. </
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<
s
xml:id
="
echoid-s6863
"
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">mi. </
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<
s
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echoid-s6864
"
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">in quotiente proueniunt 31238. </
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<
s
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">arcus eius eſt 18. </
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<
s
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">gra. </
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<
s
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">12. </
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<
s
xml:id
="
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">mi, amplitu-
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do illa ortiua Mercurij quæſita, ea´ ſeptentrionalis, & </
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>
<
s
xml:id
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">tantum habet ille in amplitudi-
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ne occidua.</
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<
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</
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</
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<
head
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>
<
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>
<
s
xml:id
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">Aſcenſionem rectam ſtellarum fixarum & </
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>
<
s
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">erraticarum quàm expeditiſ-
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ſime cognoſcere.</
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>
<
s
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</
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<
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<
s
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="
echoid-s6874
"
xml:space
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">Hic nunc principio uide cuinam puncto æquinoctij, principio ſcilicet Arietis uel Li-
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bræ ſtella ſit propinquior, ſecundum gradus longitudinis in eclyptica contra uel ſecun-
<
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dum ordinem ſignorum, ſinum complementi eius diſtantiæ duc in ſinum complementi
<
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/>
latitudinis ſtellæ, & </
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>
<
s
xml:id
="
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">diuide in ſinum totum, arcus quotientis â 90. </
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>
<
s
xml:id
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">ſublatus, reliquam ſtel
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<
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xlink:label
="
note-0082-03
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<
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<
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<
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<
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>
</
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>
læ faciet diſtantiam à principio Arietis uel Libræ ſecundum circulum directum. </
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>
<
s
xml:id
="
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xml:space
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">ſinum
<
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complementi huius arcus tibi propone, unà cum ſinu complementi declinationis ſtellæ,
<
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/>
minorem duc in totum, productum diuide in maiorem, arcus quotientis de 90. </
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>
<
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<
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<
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<
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>
<
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<
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>
</
note
>
tus, relinquit arcum æquatoris numerando â puncto ♈ uel ♎, unde & </
s
>
<
s
xml:id
="
echoid-s6879
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xml:space
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">diſtantia ſtellæ cõ
<
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putatur, dicetur´ radix aſcenſionis, hic ſi ſolum rationis dictamen ſequaris, facile inue-
<
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/>
nies aſcenſionem rectam in hunc modum. </
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>
<
s
xml:id
="
echoid-s6880
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xml:space
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">Si diſtantia ſtellæ ab initio ♈ ſecundum ordi
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nem ſignorũ fuerit accepta, tunc arcus inuentus ſiue radix per ſe tibi monſtrabit aſcen-
<
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ſionem rectam: </
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>
<
s
xml:id
="
echoid-s6881
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xml:space
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">ſin autẽ diſtantia ab ♈ ſit cõtra ſignorũ ordinem cõnumerata, ſubtrahe
<
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/>
radicem illam â circulo toto, & </
s
>
<
s
xml:id
="
echoid-s6882
"
xml:space
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">reliquã habebis aſcenſionem rectã ſtellæ: </
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>
<
s
xml:id
="
echoid-s6883
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xml:space
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">ſed ſi diſtantia
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ſtellæ à principio ♎ numerata eſt contra ordinem ſignorum, ſubtrahes radicem à ſemi-
<
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/>
circulo, uerum ubi ab eodem initio ſecundum ordinem ſignorum fuerit accepta diſtan-
<
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/>
tia, adde radicem ad ſemicirculum. </
s
>
<
s
xml:id
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echoid-s6884
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">ſ. </
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>
<
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echoid-s6885
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">180. </
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<
s
xml:id
="
echoid-s6886
"
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">gra. </
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>
<
s
xml:id
="
echoid-s6887
"
xml:space
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">& </
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>
<
s
xml:id
="
echoid-s6888
"
xml:space
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">rurſus proueniet tibi aſcenſio recta ſtel
<
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læ. </
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>
<
s
xml:id
="
echoid-s6889
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">?</
s
>
<
s
xml:id
="
echoid-s6890
"
xml:space
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">? Exempli gratia, non recedemus à Mercurio, quoniã & </
s
>
<
s
xml:id
="
echoid-s6891
"
xml:space
="
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">is hora intronizationis
<
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/>
<
note
position
="
left
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xlink:label
="
note-0082-05
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="
note-0082-05a
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xml:space
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">EXEM-
<
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PLVM
<
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E
<
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style
="
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>
</
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>
gratus acceſsit ad locũ honoris Epiſcopi ipſius intronizationis: </
s
>
<
s
xml:id
="
echoid-s6892
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xml:space
="
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">diſtantia aũt eius â prin
<
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cipio ♈ (cui erat tunc proximus) eſt 40. </
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>
<
s
xml:id
="
echoid-s6893
"
xml:space
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">gra. </
s
>
<
s
xml:id
="
echoid-s6894
"
xml:space
="
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">12. </
s
>
<
s
xml:id
="
echoid-s6895
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s6896
"
xml:space
="
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">ſinus complementi eſt 79379. </
s
>
<
s
xml:id
="
echoid-s6897
"
xml:space
="
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">eum
<
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/>
duc in ſinũ complementi latitudinis 99830. </
s
>
<
s
xml:id
="
echoid-s6898
"
xml:space
="
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">ſiquidem latitudo eſt 3. </
s
>
<
s
xml:id
="
echoid-s6899
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s6900
"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
echoid-s6901
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s6902
"
xml:space
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">iam ſi di-
<
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uido per totu@, prodeunt in quotiente 75349. </
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>
<
s
xml:id
="
echoid-s6903
"
xml:space
="
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">arcus eius eſt 48. </
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>
<
s
xml:id
="
echoid-s6904
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s6905
"
xml:space
="
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">14. </
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>
<
s
xml:id
="
echoid-s6906
"
xml:space
="
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">mi. </
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>
<
s
xml:id
="
echoid-s6907
"
xml:space
="
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">complemen-
<
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/>
tum 41. </
s
>
<
s
xml:id
="
echoid-s6908
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s6909
"
xml:space
="
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">6. </
s
>
<
s
xml:id
="
echoid-s6910
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s6911
"
xml:space
="
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">eſt diſtãtia Mercurij à principio ♈ ſecundum circulum maiorem. </
s
>
<
s
xml:id
="
echoid-s6912
"
xml:space
="
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">Si-
<
lb
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