Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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uocare conſueuerunt, ab eo puncto ſi protrahas cir culum ab ipſo occaſu æquinoctialis
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uſ ad ortum æ quinoctialem, circulus ille dicetur uerticalis, ad quem Sol peruenire non
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<
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<
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poteſt, niſi fuerit in aliquo ſignorũ ſeptentrionalium, ubi ſi extiterit, & </
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<
s
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">tu iam ſcire cupi-
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as altitudinem ipſius in circulo uerticali, propone tibi ſinum rectum altitudinis poli, & </
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<
s
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ſinum rectum declinationis Solis, minorem duc in ſinum perfectum, productũ diuide in
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maiorem, & </
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<
s
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echoid-s2030
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">tũc arcus quotientis cõmonſtrabit tibi altitudinem Solis quæſitã. </
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<
s
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<
s
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emplo rem planius intelliges, eo loco ubi intronizatio ornatiſsimi præſulis facta eſt, po
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PLVM
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E
<
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pi.</
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lus eleuatus eſt ad 48. </
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<
s
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<
s
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<
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<
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<
s
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<
s
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clinatio ergo Solis eſt 20. </
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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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li 74314. </
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<
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<
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<
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<
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nient 47564. </
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<
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">arcus illius ſinus 28. </
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<
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<
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<
s
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<
s
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">altitudo ſcilicet Solis in circulo uerticali.</
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<
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s
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">Altitudinem ſeu eleuationem poli ex altitudine Solis in circulo uerticali
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inquirere.</
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<
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<
s
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">Pronunciatũ hoc planê inuerſo modo ꝓpoſitũ eſt cũ ſuperiori, ſi ergo altitudinem po
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li ſic q̊ ſcire deſideras rurſus utrũ tibi ſinũ ꝓpone, puta ſinũ altitudinis Solis in circu
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lo uerticali & </
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<
s
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">declinationis, minorem duc in ſinũ totũ, ꝓductũ deinde in maiorem diui-
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PLVM
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E
<
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pi.</
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</
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>
de, & </
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<
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">arcus ſinus q̊tientis exhibebit tibi altitudinem poli tuæ regiõis. </
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<
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<
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iusrei exemplũ, Eſto ut ſit mihi eleuatio poli incognita, eo autem die quo intronizatus
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eſt ampliſs. </
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>
<
s
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">ille pater Epiſcopus Auguſtanus, altitudinem Solis inuentã iã & </
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<
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habeo in circulo uerticali ad 28. </
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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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="
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">ſinũ igitur declinationis, puta minorẽ 35347
<
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duco in ſinum totũ, productũ diuido in ſinum altitudinis, ſcilicet 47564. </
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>
<
s
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">& </
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<
s
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quotiente 74312. </
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<
s
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">arcus illius eſt 48. </
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<
s
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<
s
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">eleuatio poli inquiſita ad locũ intronizatiõis.</
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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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circulo uerticali, ſi modo Sol ſuerit in ſignis ſeptentrionalibus.</
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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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">admonitus es, Solem nũ̈ attingere cir culũ uerticalem, niſi
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in aliq̊ ſigno℞ ſeptentrionaliũ fuerit. </
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<
s
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">actũ ita egeris, ſi à fefto Michaelis ꝑ totã hyemẽ
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uſ ad ferias D. </
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<
s
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">Gregorij in quadrageſima gradum Solis ex altitudine ipſius in circulo
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uerticali inuenire labores, ꝗa tunc ipſum attingere nõ poteſt. </
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>
<
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<
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eũ tangit, & </
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<
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ſinũ altitudinis poli, & </
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<
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">diuide ꝓductũ in ſinũ totũ, mox quære arcũ q̊tientis, is tibi mon-
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ſtrabit declinationẽ Solis abæ ꝗnoctiali, deinde adhuc quære ꝑ pronunciatũ 6. </
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<
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eclypticæ huic de clinatiõi reſpõi reſpõdentem, & </
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<
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<
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<
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<
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PLVM
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E
<
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style
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<
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pi.</
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>
</
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plo res erit apertior: </
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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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<
s
xml:id
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">ibidẽ ubi illa facta eſt, ſit altitudo poli 48. </
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<
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<
s
xml:id
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<
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<
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duco in ſinũ altitudinis Solis in circulo uerticali 47564. </
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<
s
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<
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in quotiente prodibunt 35347. </
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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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Nũc inuenies tandem ex ꝓnunciato 6. </
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<
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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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<
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</
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<
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="
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<
head
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xml:space
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">PRONVNCIATVM XXIII.</
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>
<
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>
<
s
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">Cognita iam & </
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>
<
s
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">altitudine Solis in circulo uerticali, & </
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>
<
s
xml:id
="
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xml:space
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">eleuatione poli, per
<
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/>
utran illam amplitudinem Solis ad eum diem, quo altitudinem Solis in
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circulo uerticali obſeruaſti, inuenire.</
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>
<
s
xml:id
="
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</
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<
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>
<
s
xml:id
="
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">Iam ſupra ꝓnunciato 12. </
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>
<
s
xml:id
="
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xml:space
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">docuimus inuentionẽ amplitudinis Solis ortiuæ ex eleuatio
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ne poli & </
s
>
<
s
xml:id
="
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xml:space
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">declinatione Solis, nunc aũt eandem illã docebimus te colligere ex altitudine
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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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">troitum</
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>
<
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/>
<
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style
="
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">arealem.</
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>
</
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>
Solis in circulo uerticali & </
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>
<
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">eleuatiõe poli, Principio duc ſinũ altitudinis uerticalis in ſinũ
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totũ, productũ diuide in ſinum complementi altitudinis poli, quotientem in ſe multipli-
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ca quadrate, ſimiliter quo quadrate in ſe ducito ſinũ altitudinis Solis uerticalẽ, ꝗ̃dratũ
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illud ſubtrahe à priori numero quadrato, ex reſiduo quære radicem quadratã, radicis </
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