Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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34
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GENVINVS VSVS
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pticæ ab una & </
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<
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<
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<
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apertior& </
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<
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<
s
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xml:space
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">Sit ꝓpoſita tibi declinatio gradus, in q̊ ☉(sun) fuit ea hora qua intro-
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nizatus eſt Reuerendiſs. </
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<
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xml:space
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">pater Epiſcopus Auguſtenſis, ſicut in priori propoſitione com-
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PLVM
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<
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pi.</
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</
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memorauimus, gradus autem Solis non conſtet, ſed hoc tantum, quòd declinatio ſit 20.
<
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</
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<
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<
s
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">mi. </
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<
s
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xml:space
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">Iam ad inueniendum gradum Solis eo ipſo die & </
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<
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">hora intronizatio-
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nis, multiplica ſinũ huius declinationis 35347. </
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<
s
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<
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<
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idipſum ſi diuidas in ſinum maximæ declinationis 39874, emanabũt in quotiente 88647
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eius ſinus arcus 62. </
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<
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<
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<
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<
s
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">diſtantia illa iuſta eſt quam quærebas. </
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<
s
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xml:space
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">Et quia introniza
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tio huiuſmodi facta in Maio, diſtantia hæc à principio ♈ numerari debet, & </
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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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<
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">Cuiuslibet arcus eclypticæ, quiprincipium ſuum ab æquinoctiali & </
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terſectione cum eclyptica capit, a cenſionem in ſphæra recta addiſcere.</
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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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">Per hanc aſcenſionẽ rectã intelligi debet arcus æꝗnoctialis interceptus inter ipſum
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eclypticæ & </
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<
s
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">æꝗnoctialis interſectionẽ, ſimul at circulũ illũ maiorem, qui à polo mundi
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per punctũ iſtum eclypticæ ꝓpoſitũ (cuius aſcenſionẽ ſcire deſideras) uſ ad æquinocti
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alem ad angulos rectos ſphærales eſt ductus. </
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>
<
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">Et quũ zodiacus in 4. </
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<
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<
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gna cardinalia ♈ ♋ ♎ & </
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<
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">♑, per quæ etiã circuli maiores 4. </
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<
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">ex polis mũdi protẽſi ſunt,
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diuidatur, æquinoctialis etiã in 4. </
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<
s
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xml:space
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">quadrantes, partiendus eſt, nõ quidẽ per ſigna, ſed pri-
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ma quarta à principio æquinoctialis uſ in 90. </
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>
<
s
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">gradus, reſpõdet primo gradu ♋ ſupra
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horizontẽ ſphæræ rectæ, & </
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<
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<
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">gradus æquinoctialis, hoc eſt media pars æquinoctialis
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reſpõdet etiã mediæ eclypticæ, primus enim gradus ♎ (quæ interſectio eſt æquinoctia-
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lis cũ eclyptica) eſt gradus 180. </
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>
<
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">â primo gradu ♈. </
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<
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">Et quia utrun principiũ æꝗnoctialis
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& </
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<
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">eclypticæ apud primũ minutũ ♈ initiũ habet, etiã inde numerari debẽt quartæ & </
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<
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diæ partes circulorũ. </
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<
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<
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<
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xml:space
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">quartis eclypticæ, ſin
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gulas cũ adia centibus ſibi, æqualiter aſcẽdere in ſphæra recta, & </
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<
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">tamẽ inter principiũ et
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finẽ cuiuslibet quartæ nullus alioquin gradus, ne punctũ æquali numero cũ adiacẽte
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quarta in aſcenſione cõuenit, neceſſariũ eſt cõſcenſionẽ iſtã per ſupputationẽ ſphæricã
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internoſcere, id´ ꝑ hãc regulã. </
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<
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xml:space
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">Si arcus eclypticæ minor fuerit ̈ 90. </
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<
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">erit ille planè ac-
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commodus inueniendæ huic aſcenſioni, at is primus modus eſto. </
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<
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̈ 90. </
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<
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<
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<
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">ꝗcquid reliquũ manſerit, id aptũ
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erit cognoſcẽdæ aſcẽſioni rectæ, & </
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<
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">hæc altera ſit ratio inueniendæ aſcenſionis. </
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<
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xml:id
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xml:space
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">Sicut au
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tem ex media parte eclypticæ duos modos oſtendimus, ita reliquã partẽ nedũ â princi-
<
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pio ♎ uſ ad finẽ κ identidẽ diuides in duas uias ſeu rationes inueniendi aſcenſionem.
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</
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<
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xml:space
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">Quod ſi numerũ cõueniẽtẽ ex primo modo iã inuentũ habes, hoc eſt, ſi arcus eclypticæ
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minor fuerit ̈ 90. </
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<
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">tũc ſubtrahe eũ à 90. </
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<
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">reſiduũ uo cabit̃ cõplementũ ipſius, tũc etiã com
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plementũ aſſume declinationis, ultimi pũcti ꝓpoſiti arcus eclypticæ, & </
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<
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plemẽti duc in totũ ſinũ, ꝓductũ diuide in ſinũ cõplementi maioris, hinc ſubtracto arcu
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q̊tiẽtis à 90. </
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<
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<
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">Quod ſi aũt nume℞ cõuenientẽ altero
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modo inueniſti, iã nõ opus habebis ultima ſubtractiõe â 90. </
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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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90. </
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<
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">& </
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<
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xml:space
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">ſic q̊ habebis arcũ æꝗnoctialis cũ ꝓpoſito arcu coaſcendentem in ſphæra recta.
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</
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<
s
xml:id
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xml:space
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">Cæterũ ſi tibi ꝓponas arcũ zodiaci â principio ♎ cõputando uſ ad finẽ κ, ubicun il
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le deſierit, inter hoc ſpacium, aſcenſionem eius quære eo planè modo q̊ iam edoctus es,
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niſi ꝙ ad extremũ addes gradus 180. </
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<
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xml:id
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xml:space
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">Primus em̃ gradus ♎ habet gradus 180. </
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<
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">æꝗnoctia
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lis in ſua aſcẽſione, ſicut antea docuimus. </
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<
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<
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xml:id
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xml:space
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">? lam uero exemplis rem demonſtremus ad
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<
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xlink:label
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xlink:href
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xml:space
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PLVM
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<
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style
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<
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pi.</
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>
</
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oculũ. </
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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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">II, in q̊ ☉(sun) fuit tꝑe & </
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<
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">hora intronizationis, nunc ſinu
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merauero arcũ à principio ♈, inueniã uti 62. </
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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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<
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<
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mi. </
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<
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xml:id
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xml:space
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">ſinus aũt cõplementi 46278. </
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>
<
s
xml:id
="
echoid-s1168
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xml:space
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">declinationẽ puncti terminantis, arcũ iam inueni ꝓpo
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ſitione 5. </
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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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">42. </
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<
s
xml:id
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">cõplementũ declinatiõis eſt 69. </
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>
<
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">gra. </
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<
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<
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="
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">mi. </
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<
s
xml:id
="
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xml:space
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">ſinus uero cõplemen
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ti iſtius 93544. </
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>
<
s
xml:id
="
echoid-s1178
"
xml:space
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">Iam ita duco ſinum minorem 46278. </
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>
<
s
xml:id
="
echoid-s1179
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xml:space
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">in totũ ſinum, & </
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>
<
s
xml:id
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xml:space
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">productum diui
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do in ſinum maiorem, ſcilicet 93544. </
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>
<
s
xml:id
="
echoid-s1181
"
xml:space
="
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">at in quotiente prouenient 49471. </
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>
<
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xml:id
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">arcus erit 29.
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</
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<
s
xml:id
="
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">gra. </
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>
<
s
xml:id
="
echoid-s1184
"
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">39. </
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>
<
s
xml:id
="
echoid-s1185
"
xml:space
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">mi. </
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>
<
s
xml:id
="
echoid-s1186
"
xml:space
="
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">eum ſi ſubtraxero à 90. </
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>
<
s
xml:id
="
echoid-s1187
"
xml:space
="
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">remanebit aſcenſio recta quæſita 60. </
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>
<
s
xml:id
="
echoid-s1188
"
xml:space
="
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">gra. </
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>
<
s
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="
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"
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">29. </
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>
<
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