Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM PER PET. APIANVM.
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<
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">PRONVNCIATVM LI.</
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<
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<
s
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">Arcum circuli maioris, qui per utrun polũ mundi & </
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<
s
xml:id
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xml:space
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">corpus ſolare duci-
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citur, at alio nomine circulus horarius dicitur, quantus ille ſit à polo mũdi
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arctico uſ ad horizontem, per ſupputationem triangularem cognoſcere.</
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>
<
s
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</
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<
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<
s
xml:id
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echoid-s3804
"
xml:space
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">Et ſi arcus ille per ſe magnopere neceſſarius non eſt, ad ſequens tamen pronunc. </
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<
s
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rimum conducet, operatio ita iſta ſic habet. </
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<
s
xml:id
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xml:space
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">Propone tibi ſinum complementi altitudi
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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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nis poli, eum duc in ſinum diſtantiæ Solis à meridie, productum diuide in ſinum totum,
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& </
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<
s
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">quotientis arcum ſubtrahe à 90. </
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>
<
s
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xml:space
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">ſinum reſidui rurſus tibi propone, ſimul cum ſinu alti
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tudinis poli, uter illorum fuerit minor, eum ducito in totum ſinum, hinc productum diui
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de in maiorem, & </
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>
<
s
xml:id
="
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xml:space
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">arcus quotientis monſtrabit tibi arcum circuli maioris ducti per polos
<
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mundi, & </
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>
<
s
xml:id
="
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"
xml:space
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">per locum Solis, ipſa hora conſiderationis inter polum mundi arcticum & </
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<
s
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xml:space
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">ho
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rizontem compræhenſum. </
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>
<
s
xml:id
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">?</
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<
s
xml:id
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xml:space
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">?Non erit (opinor) moleſtum hic tibi, ſi exemplo ſubie-
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PLVM
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Epiſcopi.</
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cto rem tibi conemur planius oſtendere, propono hic tibi 2. </
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<
s
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<
s
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<
s
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<
s
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xml:space
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">II, ubi Sol fuit
<
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ipſa hora intronizationis, ſimul etiam horam tibi præſcribo intronizationis 9. </
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>
<
s
xml:id
="
echoid-s3818
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">ante me
<
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ridiem. </
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>
<
s
xml:id
="
echoid-s3819
"
xml:space
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">diſtantia igitur Solis à meridie eſt trium horarum, quarum ſinus eſt 70710. </
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>
<
s
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="
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">ſiqui
<
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dem horæ 3. </
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<
s
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">gradus conſiciunt 45. </
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<
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<
s
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">gradus pro hora computando. </
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<
s
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xml:space
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<
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<
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<
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<
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<
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tronizatio facta eſt in 48. </
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<
s
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">gra. </
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<
s
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">polaris eleuationis, complementum eius eſt 42. </
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<
s
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">gra. </
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<
s
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">ſinũ
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igitur ipſius 66913. </
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>
<
s
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xml:space
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">ducin ſinum trium horarum, productum diuide in ſinum totum, & </
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>
<
s
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<
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in quotiente prouenient 74314. </
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>
<
s
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">arcus eius eſt 28. </
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<
s
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">gra. </
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<
s
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<
s
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">mi. </
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<
s
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">quibus ſubtractis à 90. </
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>
<
s
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="
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xml:space
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">rema
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nent 61. </
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<
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<
s
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<
s
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">mi. </
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<
s
xml:id
="
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xml:space
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">ſinus illius diuiſor efficitur, quietiam quum ſit maior ſinu altitudi-
<
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nis poli 48. </
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>
<
s
xml:id
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xml:space
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">gra. </
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>
<
s
xml:id
="
echoid-s3842
"
xml:space
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">ideo ducendus tibi eſt ſinus altitudinis poli, ſcilicet 74314. </
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>
<
s
xml:id
="
echoid-s3843
"
xml:space
="
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">in totum ſinũ
<
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productum uero diuidendũ in diuiſorem iam ſeruatum. </
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>
<
s
xml:id
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xml:space
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">In quotiente comperies 84349.
<
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</
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<
s
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">cuius arcus eſt 57. </
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<
s
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<
s
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<
s
xml:id
="
echoid-s3848
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">mi. </
s
>
<
s
xml:id
="
echoid-s3849
"
xml:space
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">ille nimirum quem hactemus inquirebas, planè enim tan-
<
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tus eſt etiam arcus huius circuli inter horizontem & </
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>
<
s
xml:id
="
echoid-s3850
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xml:space
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">polum arcticum.</
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>
<
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</
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</
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<
head
xml:id
="
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xml:space
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">PRONVNCIATVM LII.</
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>
<
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>
<
s
xml:id
="
echoid-s3852
"
xml:space
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">Locum ſiue punctũ horizontis, ubi linea horaria in plano horizontali, ſi-
<
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militer & </
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>
<
s
xml:id
="
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xml:space
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">circulus horarius in corpore ſphærico tangit horizontẽ, inuenire.</
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>
<
s
xml:id
="
echoid-s3854
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</
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>
<
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>
<
s
xml:id
="
echoid-s3855
"
xml:space
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">Attendenda quæ nũc docebimus tibi erũt diligenter, maxime aũt ſi te delectant cõpo
<
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/>
ſitiones inſtrumentorũ quæ ſolaria uocantur horizõtalia, hoc eſt, ſi in ſuperficie aliqua
<
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/>
plana horizonti tuo æquidiſtante cupis diuidere horas. </
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>
<
s
xml:id
="
echoid-s3856
"
xml:space
="
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">Adſume ita arcũ huius circu-
<
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li horarij â polo mundi uſ in horizontẽ, quem ex antecedente propoſitione cognoui-
<
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/>
ſti, ſinum eius duc in ſinũ diſtantiæ Solis horariæ â meridie, ſiue ante ſiue poſt meridiem,
<
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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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productum diuide in ſinũ totum, & </
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>
<
s
xml:id
="
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xml:space
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">tunc arcus quotientis arguet arcũ horizontis interce
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ptum inter meridianũ & </
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>
<
s
xml:id
="
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xml:space
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">circulũ horariũ, qui tranſit per locũ Solis & </
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>
<
s
xml:id
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xml:space
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">utrun polũ mun-
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di. </
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<
s
xml:id
="
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xml:space
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">Ne uero eſt quòd putes ſimpliciter tibi habendũ ſemper eſſe locum Solis, ſed diſtanti
<
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am horariam tibi tantum propone, non conſiderãs, ubicun Sol ſit in zodiaco. </
s
>
<
s
xml:id
="
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">?</
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>
<
s
xml:id
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xml:space
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">? Ex
<
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<
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PLVM
<
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Epiſoo
<
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pi.</
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>
emplum huius rei tibi ſit tale. </
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>
<
s
xml:id
="
echoid-s3863
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xml:space
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">Cupio ſcire, quo tandem intronizationis hora, quæ 3. </
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>
<
s
xml:id
="
echoid-s3864
"
xml:space
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">fuit
<
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ante meridiẽ, uel ipſa umbra ab axe mũdi pertigerit. </
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>
<
s
xml:id
="
echoid-s3865
"
xml:space
="
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">ne hic opus eſt, ut conſiderem,
<
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in quo ſigno ſiue gradu Sol fuerit, ſed tantũ adſumo ſinũ triũ horarũ, qui eſt 45 graduum
<
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/>
70710. </
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>
<
s
xml:id
="
echoid-s3866
"
xml:space
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">eũ duco in ſinũ arcus circuli horarij inter polũ mundi & </
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>
<
s
xml:id
="
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xml:space
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">horizontẽ intercluſum,
<
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quẽ iam q̊ ex ſuperiori pronunciat. </
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>
<
s
xml:id
="
echoid-s3868
"
xml:space
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">inuentũ habeo, eſt autem 57. </
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>
<
s
xml:id
="
echoid-s3869
"
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">gra. </
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>
<
s
xml:id
="
echoid-s3870
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">31. </
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>
<
s
xml:id
="
echoid-s3871
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xml:space
="
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">mi. </
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>
<
s
xml:id
="
echoid-s3872
"
xml:space
="
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">ſinus ipſe
<
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/>
84349. </
s
>
<
s
xml:id
="
echoid-s3873
"
xml:space
="
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">Hinc ubi productũ diuido in ſinũ totũ, remanent 59643. </
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>
<
s
xml:id
="
echoid-s3874
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xml:space
="
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">arcus eſt 36. </
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>
<
s
xml:id
="
echoid-s3875
"
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">gra. </
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>
<
s
xml:id
="
echoid-s3876
"
xml:space
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">38. </
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>
<
s
xml:id
="
echoid-s3877
"
xml:space
="
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">mi.
<
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</
s
>
<
s
xml:id
="
echoid-s3878
"
xml:space
="
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">At hoc eſt, quod hucuſ inueſtigauimus. </
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>
<
s
xml:id
="
echoid-s3879
"
xml:space
="
preserve
">Tantum etiam in plano horizontali diſtat li
<
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/>
nea horæ 9 ante meridiẽ uerſus ſeptentrionem à linea meridiana, ex altera quo parte ſi
<
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/>
militer tantum diſtat linea horæ 3. </
s
>
<
s
xml:id
="
echoid-s3880
"
xml:space
="
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">à linea meridiana. </
s
>
<
s
xml:id
="
echoid-s3881
"
xml:space
="
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">Et ad hunc quidem modum ipſe ti
<
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/>
bi potes tabulas ſupputare, ad omnes horas & </
s
>
<
s
xml:id
="
echoid-s3882
"
xml:space
="
preserve
">ad quaſcun eleuationes poli, ſicut in no-
<
lb
/>
ſtro opere de V mbris ad omnes polares eleuationes clare perſpicies.</
s
>
<
s
xml:id
="
echoid-s3883
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xml:space
="
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"/>
</
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>
</
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>
<
div
xml:id
="
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type
="
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level
="
1
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n
="
65
">
<
head
xml:id
="
echoid-head69
"
xml:space
="
preserve
">PRONVNCIATVM LIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3884
"
xml:space
="
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">Arcũ illũ horizõtis inter meridianũ & </
s
>
<
s
xml:id
="
echoid-s3885
"
xml:space
="
preserve
">circulũ horariũ cõprehenſum adhuc
<
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/>
alia quadã ratione inueſtigare, iſtũ inquã, qui per locũ Solis protenditur.</
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>
<
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="
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</
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