Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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plitudinis ſcilicet 48572. </
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<
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<
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ſubtractis à 90. </
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<
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<
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<
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<
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xml:space
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<
s
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<
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nem poli in de cognoſcere.</
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<
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</
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<
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<
s
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">Vbi gradũ medij cœli habueris, quærè deinceps angulũ eclypticæ & </
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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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maior extiterit, ſubtrahe eum de ſemicirculo, & </
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<
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<
s
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xml:space
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">Deinde ꝓpone
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arcũ à medio cœliuſ ad gradũ aſcendentis, is ſi minor ſit ̈ 90. </
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<
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ior, ſubtractus à ſemicirculo, relinquet nume℞ aptum ad hãc oꝑationẽ, ſinum eo℞ alte℞
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duc in alte℞, ꝓductũ diuide in ſinũ totũ, arcum q̊tientis ſubtrahe à 90. </
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<
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<
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<
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<
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plitudo aſcẽdẽtis. </
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<
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">Hinc ꝓcede ita, ut ſuꝑiori ꝓnunciato edoctus es, unum attẽde, ꝙ ſi gra
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dus aſcendentis ſit in aliq̊ ſigno℞ ſeptentrionalium, tunc etiã amplitudo erit ſeptentrio-
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nalis, & </
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<
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<
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<
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eſſe hanc operationẽ, quũ in medio cœli fuerit principiũ ♋ uel ♑, puncta quo proxi
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me coniuncta, ſiue præcedant ſiue ſequantur, quo ergo longius diſtat principium ♋
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uel ♑ à medio cœli, eo certior etexpeditior hæc erit operatio, ſed hic non neceſſarium fu
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erit exemplo rem demonſtrare, quando cum ſuperiori pronunciato multum cohæret.</
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<
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s
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">In quacun regione, perſpecta eleuatione poli, tempus quo punctum zo
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diaci ab arcu per polos mundi & </
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uerticalem moueatur, dijudicare.</
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</
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<
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<
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maiorem, ꝗ circulus dicitur horæ 6. </
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<
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">ante meridiẽ, ꝗa quũ ☉(sun) ad eum ꝑtingit, tunc hora 6
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eſt poſt mediÀ© noctis, & </
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um eſt int
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meridiẽ & </
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<
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">Principio igitur huius oꝑa
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tionis, quære ꝗ 5. </
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<
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culo uerticali ꝗ 20. </
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<
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<
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<
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<
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ne in locum aliquẽ ſeorſim, ſimilit
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& </
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minorẽ duc in ſinum totum, ꝓductũ in maiorem diuide, & </
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<
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<
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ctus relinquet gradus æquatoris, ꝗbus in horas horarũ´ minuta cõuerſus, habebis op
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tatum. </
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<
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<
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PLVM
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pi.</
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</
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moratũ, declinatio ita Solis eſt 20. </
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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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ſius 93544. </
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<
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">is (ꝗa maior) erit altitudo ☉(sun) in circulo uerticali eſt 28. </
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<
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<
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<
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mẽti 87964. </
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<
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<
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<
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eius eſt 70. </
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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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<
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<
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<
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">æquatoris, ho℞ ſi ſemꝑ 15
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ꝓ hora unica ſupputẽ, habebo horã 1. </
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<
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<
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<
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<
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ab hora 6. </
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<
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xml:space
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<
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intelligendum eſt, niſi quòd tũc Sol citius circulum uerticalem attingit quàm horam 6.
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</
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<
s
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xml:space
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">poſt meridiem, at hæc operatio nihil loci habet in ſignis meridionalibus.</
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</
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</
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<
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<
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<
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<
s
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xml:space
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">Intellecta iã altitudine poli, adhucemetiri quanto tempore arcus aliquis
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eclypticæ propoſitus à principio uſ in finem pertranſeat circulũ uerticalẽ.</
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<
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</
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<
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<
s
xml:id
="
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xml:space
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">Cõſidera hic ante arcũzodiaci, an principiũ eius declinationẽ habeat maiorẽ ̈ finis
<
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ſiue nõ, numerãdo illũ iuxta ue℞ ordinẽ ſigno℞. </
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>
<
s
xml:id
="
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xml:space
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">Et quæſita quidẽ ꝑ 5. </
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<
s
xml:id
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xml:space
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">declinationem u-
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triuſ, adhuc inꝗre ꝑ præcedens ꝓnunc. </
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<
s
xml:id
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xml:space
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<
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nis dati arcus, ꝓmoueatur ab hora 6. </
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<
s
xml:id
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">uſ ad circulũ uerticalem. </
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>
<
s
xml:id
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xml:space
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">Inueſtiga etiã utriuſ
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illius puncti aſcenſionẽ rectã per 7 ꝓnunc. </
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>
<
s
xml:id
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xml:space
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">& </
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>
<
s
xml:id
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xml:space
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">ſubtrahe aſcenſionẽ minorẽ à maiori, reſi-
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duũ obſerua ſeor@@m, ſubtrahe etiã tempus minimũ (tantũ duc gradus æquatoris ante cõ
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uerſionem in horas) à maiori, q̊d utrun ex præcedenti ꝓnunc. </
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<
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ad cõtactum circuli uerticalis, ꝙ ſi declinatio ſinis huius arcus maior fuerit ̈ illa </
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