Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM.
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natio, amplitudinem ortiuam in quacun eleuatione poli perſcrutari.</
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<
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<
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<
s
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xml:space
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">Quandoquidẽ quid ſibi uelit hoc loco Amplitudinis uocabulum, nõ ita omnibus ma-
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ximè huius diſciplinæ tyronibus cõſtat, conſultũ uidetur ſuper eo nonnihil hic diſſerere.
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<
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it
">Amplitudo</
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<
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Amplitudo ortus, eſt arcus horizontis inter ortum æquatoris & </
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<
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ſtella oritur, interceptus. </
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<
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xml:space
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">Amplitudo occaſus, eſt arcus inter occaſum æquatoris & </
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<
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">Amplitudo</
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<
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</
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ctum horizontis, ubi occidit Sol ſiue ſtella. </
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<
s
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xml:space
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">Ortus aũt æ quinoctialis, eſt pũctus horizon
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tis in quo Sol oritur in primo minuto ♈ & </
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<
s
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">♎, ſimili modo imaginaberis etiã occaſum
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æquatoris, eo loco ubi Sol occidit in primo puncto ♈ uel ♎. </
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<
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xml:space
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">Ortus hic æquinoctialis, ali
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<
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<
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<
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âs etiam uerus ortus dici ſolet, ad eum religioſa & </
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<
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xml:space
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eccleſiæ proceribus deducta, extrui ſolent omnia templa. </
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<
s
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xml:space
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">Ortum illũ quacun hora in-
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uenire potes per compaſſum uiatorium, quoniã hora 6. </
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<
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<
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">ortum, duodeci
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ma aũt meridiem & </
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<
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<
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">Quicquid iam ab ortu uero ſiue æquino
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ctiali numeratur uerſus meridiem in horizõte per gra. </
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xml:space
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">& </
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<
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<
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xml:space
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">uſ ad punctũ ortus ☉(sun) uel
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ſtellæ, amplitudo dicitur ortus meridionalis, ſi aũt ortus hic fiat uerſus ſeptẽtrionẽ, arcus
<
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ille horizontis amplitudo dicetur ortus ſeptentrionalis: </
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<
s
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xml:space
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">idem´ planè iudiciũ eſt de occa
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ſu. </
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<
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xml:space
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">Operationẽ porrò conſicies in hunc modũ: </
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<
s
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="
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xml:space
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">Propone tibi ſinũ cõplementi altitudi-
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nis poli tuæ regionis, & </
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<
s
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">ſinum declinationis Solis uel ſtellæ, ſinũ minorẽ duc in totũ illũ,
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ꝓductũ diuide in maiorẽ, & </
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<
s
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">arcus quotientis oſtendet amplitudinẽ ortus meridionalem,
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ſi ta men punctus datus ab æquatore uerſus meridiẽ declinet, qui ſi uergat ad ſeptentrio-
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nem, amplitudo ea dicetur ſeptentrionalis. </
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<
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<
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xml:space
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">? Exempliloco, pono Solem ut antea in
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PLVM
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E
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pi</
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.</
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2. </
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<
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<
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<
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<
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">declinationẽ huius inueni ex 5. </
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<
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<
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<
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<
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aũt facta ſit in 48. </
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<
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<
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">eleuatiõis polaris, iam ſinũ declinatio nis ex ꝓnunciato 5. </
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<
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35347. </
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<
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">duco in ſinũ totũ, ꝓductũ diuido in ſinũ cõplemẽti altitudinis poli, ſcilicet 66913.
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</
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<
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<
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">arcus uero 31. </
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<
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<
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<
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<
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">amplitudo nimirum illa quæſita.</
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<
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<
s
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">Cognita iam antea amplitudine, gradum inuenire zodiaci, qui amplitudi
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nem iſtam conſtituit.</
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<
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</
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<
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<
s
xml:id
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">Occurrit hic aliquid mihi, quod te celare neutï poſſum, qm̃ in ſphæra recta quilibet
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gradus zodiaci maiorem in horizõte amplitudinẽ nõ admittit, ̈ ſit declinatio ipſius. </
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<
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quidẽ declinatio in ſphæra recta alicuius gradus eclypticæ, etiã amplitudo eſt illius gra
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dus, nec aliqua alia indiget ſupputatiõe noua. </
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<
s
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">Sciendũ eſt inſuper, ꝙ nulla amplitudo fit
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minor ̈ ſit illius gradus declinatio. </
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<
s
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">maior tamẽ fieri poteſt, ꝗa quo magis adcreſcit ele-
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uatio poli, eò plus accedit & </
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<
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>
<
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">tamdiu etiam creſcit amplitudo ab æquinoctia
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li uerſus utroſ polos, donec gradus ille ſiue in eclyptica, ſiue ſtella fuerit fixa, horizõtẽ
<
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<
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">Amplitudo</
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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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</
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amplius nõ attingit, tũc em̃ ſtella iſta uel ☉(sun) amplius nõ exoritur, ſed ſupra horizontem
<
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ſemper manet. </
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>
<
s
xml:id
="
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xml:space
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">Quum´ declinatio Solis ſiue ſtellæ tãta efficitur, quantũ eſt cõplemen
<
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tum altitudinis poli, tũc Sol ſiue ſtella horizontẽ in parte ſeptentrionali in pũcto attin-
<
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git, nec amplius ſub horizontẽ uenit: </
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<
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xml:space
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">ſed ſi declinatio ſit maior cõplemẽto altitudinis po
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li, tunc ſtella aut Sol horizontẽ penitus nõ attingit. </
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<
s
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">Conſtat etiã, ꝙ declinatio ſepten
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trionalis æque magnã facit amplitudinem at illa meridionalis. </
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>
<
s
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xml:space
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">Qñ igitur ☉(sun) eſt in ♋,
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tantã facit amplitudinẽ, quantã quũ eſt in ♑, in ♉ q̊ ut in ♏ & </
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<
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<
s
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operationẽ experiri uolẽs, multiplica ſinũ cõplementi altitudinis poli cum ſinu amplitu
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dinis ortiuæ, productũ diuide in ſinũ perfectũ, & </
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>
<
s
xml:id
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">arcus quotientis tibi monſtrabit declina
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tionem puncti illius, quod amplitudinẽ hãc fecit. </
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<
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">ꝓnunciatũ aũt. </
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<
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<
s
xml:id
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">inuenire te docuit ex
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declinatione gradũ eclypticæ ſibi reſpondentẽ. </
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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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">? Sed iã exemplo rẽ hanc plenius ex
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<
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xlink:href
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xml:space
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<
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PLVM
<
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E
<
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style
="
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">piſoo
<
unsure
/>
pi.</
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>
</
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>
plicemus, quãdo ꝓnunciatũ hoc cõtrariũ habet ſuperioris, exemplũ quo illius inuerte-
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mus tantũ hoc modo. </
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>
<
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">Amplitudinẽ habeo 31. </
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<
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<
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<
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">mi. </
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<
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">ſinus eius eſt 52825. </
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<
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xml:id
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">facta autẽ
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ſit intronizatio in eleuatiõe polari 48. </
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>
<
s
xml:id
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">gra. </
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>
<
s
xml:id
="
echoid-s1510
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xml:space
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">ſinus complementi altitudinis poli ſit 66913.
<
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</
s
>
<
s
xml:id
="
echoid-s1511
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xml:space
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">iam multiplica unum numerũ ſinuũ cũ reliquo, productũ diuide in totũ ſinum, & </
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>
<
s
xml:id
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xml:space
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">inueni-
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es in quotiente 35347. </
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<
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">arcus illius 20. </
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<
s
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<
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>
<
s
xml:id
="
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">mi. </
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>
<
s
xml:id
="
echoid-s1517
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xml:space
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">mõſtrat tibi declinationẽ Solis quæſitã. </
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>
<
s
xml:id
="
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<
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/>
Inuenturus a dhuc porrò gradũ Solis, cõperies illũ per 6. </
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>
<
s
xml:id
="
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">ꝓnunciatũ gra. </
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>
<
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<
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">mi. </
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>
<
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="
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xml:space
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">26. </
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>
<
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