Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM PER PET. APIANVM.
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ſinum complementi declinationis Mercurij ſcilicet 97820. </
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<
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ius 50. </
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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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<
s
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quidem aſcenſio recta Mercurij, quoniam diſtantia ipſius à principio ♈ ſecundum or-
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dinem ſignorum numeratur.</
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<
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<
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<
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">Arcum ſemidiurnum ſtellæ & </
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<
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">eius etiam aſcenſionem obliquam in æqua
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tore perſpicere.</
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<
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<
s
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">Arcus ſtellæ diurnus eſt tantum temporis quo ſuper horizontem apparet, ideo autẽ
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uocatur arcus, quoniam quodlibet punctum in cœli uirtute motus primi mobilis, circu-
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lum deſcribit imaginarium æquidiſtantem æquinoctiali, & </
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<
s
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">is quidem circulus æque in
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24. </
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<
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">horas diuiditur, at æquino ctialis, earum horarum quot ſuper horizontem ma-
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<
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nent alicuius regionis, arcum uocamus diurnum, medietatem ipſius, ſemidiurnum. </
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<
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ergo ex 85. </
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<
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">uel 86. </
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<
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">inuentam habes declinationem ſtellæ, & </
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<
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<
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">amplitudinem, tunc ſi
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num complementi amplitudinis duc in totum, productum diuide in ſinum complemen
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ti declinationis, arcum quotientis ſubtrahe de quadra circuli, reſiduum dicetur differen
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tia aſcenſionalis. </
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>
<
s
xml:id
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xml:space
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">quòd ſi ſtella habuerit declinationem ſeptentrionalem, addes differen
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tiam hanc ad 90. </
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<
s
xml:id
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xml:space
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">& </
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<
s
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">habebis arcum ſemidiurnum ſtellæ: </
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<
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">ſi autem declinatio ſtellæ fuerit
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Auſtralis, ſubtrahes eam à 90. </
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<
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xml:space
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">& </
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<
s
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">rurſus manebit tempus diurnum, ſemper 15. </
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<
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<
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putando pro hora, facile arcum ſemidiurnum conuertes in tempus horarum, ſi duplica
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ris, horæ iſtæ oſtendent tibi qua mdiu ſtelia propoſita maneat nobis conſpicua ſupra ho
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rizontem, ſiue illud contingat in die ſiue in nocte, at omnis hæc noſtra ſupputatio ſic
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intelligi debet, ac ſi terra tota punctum eſſet tantum reſpectu firmamenti. </
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<
s
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autem hac differentia aſcenſionali ab aſcenſione recta ſtellæ (ſi tamen ſtella declinatio-
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nem habuerit ſeptentrionalem) remanebit illa obliqua ſtellæ aſcenſio. </
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<
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extiterit, adde differentiam iſtam ad aſcenſionem rectam, & </
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qua. </
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<
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">At in hunc modum uno pronunciato geminam tibi quæſtionem ſolutam, tantũ
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PLVM
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E
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nunc exemplum accipe. </
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<
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<
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">? Quia non abeſſe ſolet Mercurius à quacunre quæ nonni
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hil ponderis habet, ſed omnibus negotijs ſeſe immiſcet, ſic´ in hac etiam intronizatio
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nis ſupremum & </
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<
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">honeſtiſsimum locum ſibi uſurpauit, age ne nos eum hinc detrude-
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mus, ſiquidẽ intronizationi huic hactenus fœlix adfuit, & </
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<
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quo proſpere cuncta adminiſtrabit. </
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<
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xml:space
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">Declinatio eius fuit iam ante inuenta per 85. </
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<
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">uel
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86. </
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<
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">pronũciatum, 11. </
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<
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<
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<
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<
s
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<
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& </
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<
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">productum diuido in ſinum complementi amplitudinis, quam per 90. </
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<
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inueni eſſe 18. </
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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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us 76. </
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<
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<
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<
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">eo ſubtracto à 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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">Et quia declinatio Mercurij eſt ſeptentrionalis, addo differentiam ad 90. </
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<
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103. </
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<
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<
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<
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<
s
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<
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">in horas conuerſo, habebo
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inde 13. </
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<
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<
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">ferè minuta, & </
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<
s
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xml:space
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">tantum quidem temporis Mercurius ipſo die introni
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zationis permanſit ſuper horizontem. </
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<
s
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">Differentiam illam ſubtraho (ſiquidem declina-
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tio eſt ſeptentrionalis) ab aſcenſione recta, quam inueni per 91. </
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<
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<
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<
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<
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remanent mihi 25. </
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<
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<
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<
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<
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">æquinoctialis, & </
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<
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">eo die cum Mercurio horizontem Au-
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guſteñ, attigerunt.</
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type
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<
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<
s
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xml:space
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">Cum quo gradu ſiue puncto eclypticæ quælibet ſtella fixa & </
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<
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militer & </
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<
s
xml:id
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xml:space
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">aliud quoduis punctum imaginarium primi mobilis ſuper hori-
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zontem obliquam aſcendit, uel eum tangit, aut etiam in parte occidua demer
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<
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<
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<
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<
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</
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gitur, ſolerter indagare.</
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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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">Ex ſuperiori pronunciato inueniſti arcum æquatoris cum ſtell@ in horizõte obliqua
<
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aſcendentẽ, ſinũ iam illius duc in ſinũ maximæ declinationis ☉(sun), ꝓductum diuide in ſinũ
<
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<
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<
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<
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</
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totum, & </
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<
s
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<
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