Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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ſitam ſuper ſemicirculum poſitionis. </
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<
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<
s
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xml:space
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">? Puta ſub horam intronizationis factæ, inter
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PLVM
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E
<
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style
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</
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meridianum & </
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<
s
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xml:space
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">ſemicirculum poſitionis, qui per corpus Solis ducitur ab ipſo æquatore,
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intercepti ſunt 31. </
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<
s
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<
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<
s
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<
s
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<
s
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echoid-s6361
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<
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<
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<
s
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</
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<
s
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xml:space
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">hunc duco in ſinum altitudinis poli Auguſt. </
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<
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<
s
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">productum diuido in totum, & </
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<
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tiens dat 63358. </
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<
s
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">cuius arcus eſt 39. </
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<
s
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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 complementi huius ipſe eſt diuiſor. </
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<
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Iam duco ſinum complementi altitudinis poli 66479. </
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>
<
s
xml:id
="
echoid-s6375
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xml:space
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">in totum, productum diuido in di
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uiſorem, & </
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<
s
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<
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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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relinquit à ſe 30. </
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<
s
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">gra. </
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<
s
xml:id
="
echoid-s6384
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">46. </
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>
<
s
xml:id
="
echoid-s6385
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">mi. </
s
>
<
s
xml:id
="
echoid-s6386
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xml:space
="
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">altitudinem ſcilicet illam poli ſuper ſemicirculum poſitionis
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quem ſcire uolebam.</
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<
s
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</
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<
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>
<
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<
s
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">Altitudinem poli ſuper ſemicirculum poſitionis per arcum æquatoris in
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ter eum & </
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>
<
s
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="
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">meridianum concluſum, diuerſa ratione colligere.</
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>
<
s
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</
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<
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>
<
s
xml:id
="
echoid-s6391
"
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">Propoſitio idem & </
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>
<
s
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>
<
s
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echoid-s6393
"
xml:space
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">præſupponit quod ſuperior, puta arcum æquatoris, ſi-
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num complementi eius arcus duc in ſinum altitudinis poli, & </
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>
<
s
xml:id
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">diuide quotientem in to
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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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tum, ſinum uero complementi huius quotientis tibi propone, ſimul & </
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>
<
s
xml:id
="
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quatoris ſuppolìtum, minorem cum toto multiplica, & </
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<
s
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="
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xml:space
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">per maiorem, more ſolito, di-
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uide, hinc quotientem rurſus duc in ſinum altitudinis poli, productum diuide in ſinum
<
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perfectum, & </
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>
<
s
xml:id
="
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xml:space
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">arcus quotientis dabit altitudinem poli quæſitam ſuper ſemicirculum
<
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poſitionis. </
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<
s
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="
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">Exemplum cape, & </
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<
s
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">in hac re tibi non moleſtum erit. </
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<
s
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xml:space
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">Eſto ut ſit arcus æ-
<
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<
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position
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xlink:label
="
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xml:space
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">EXEM-
<
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PLVM
<
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E
<
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style
="
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>
</
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>
quatoris, ſicut antea inter meridianum & </
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>
<
s
xml:id
="
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xml:space
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">ſemicirculum poſitionis imaginarium per lo
<
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cum Solis ipſa hora intronizationis 31. </
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>
<
s
xml:id
="
echoid-s6402
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xml:space
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">gra. </
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<
s
xml:id
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">59. </
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<
s
xml:id
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xml:space
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">mi. </
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<
s
xml:id
="
echoid-s6405
"
xml:space
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">ſinus ſui complementi eſt 84814, eũ
<
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duco in ſinum latitudinis Auguſt. </
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<
s
xml:id
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<
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xml:space
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">& </
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<
s
xml:id
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xml:space
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">poſt diuiſionem ſinus perfecti, quotiens ex
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hibet mihi 63358. </
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<
s
xml:id
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xml:space
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">arcus porrò eſt 39. </
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<
s
xml:id
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">gra. </
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<
s
xml:id
="
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xml:space
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<
s
xml:id
="
echoid-s6412
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">mi. </
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<
s
xml:id
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xml:space
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">Complementum eius 50. </
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<
s
xml:id
="
echoid-s6414
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xml:space
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">gra. </
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>
<
s
xml:id
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xml:space
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">41. </
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<
s
xml:id
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xml:space
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<
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xml:id
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nus illius eſt diuiſor 77365. </
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<
s
xml:id
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xml:space
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">iam duco ſinum 31. </
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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
="
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xml:space
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">59. </
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<
s
xml:id
="
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xml:space
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">mi. </
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<
s
xml:id
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<
s
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<
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xml:space
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">in totum, productũ
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diuido in ipſum diuiſorem, & </
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<
s
xml:id
="
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xml:space
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">quotiens profert 68464, eum rurſus duco in ſinum altitu-
<
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dinis poli 74702. </
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<
s
xml:id
="
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xml:space
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">productum diuide in totum, & </
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>
<
s
xml:id
="
echoid-s6427
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xml:space
="
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">quotiens erit 51154. </
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>
<
s
xml:id
="
echoid-s6428
"
xml:space
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">cuius arcus eſt
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30. </
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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-s6430
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xml:space
="
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">46. </
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>
<
s
xml:id
="
echoid-s6431
"
xml:space
="
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">mi. </
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>
<
s
xml:id
="
echoid-s6432
"
xml:space
="
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">altitudo illa poli ſuper ſemicirculum poſitionis inquiſita.</
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>
<
s
xml:id
="
echoid-s6433
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xml:space
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</
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</
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<
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xml:id
="
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type
="
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level
="
1
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n
="
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<
head
xml:id
="
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xml:space
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">PRONVNCIATVM LXXXV.</
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>
<
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>
<
s
xml:id
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xml:space
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">Declinationem ſtellæ ab æquatore, ſi quam habet, cognoſcere.</
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>
<
s
xml:id
="
echoid-s6435
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xml:space
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6436
"
xml:space
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">Trifariam quæri poteſt declinatio, quædam enim ftellæ ſiue puncta ſunt in arcu, qui
<
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/>
trãſit per polos zodiaci, & </
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>
<
s
xml:id
="
echoid-s6437
"
xml:space
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">per principia ♈ & </
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>
<
s
xml:id
="
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xml:space
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">♎, quæ ſcilicet in principio ♈ uel ♎ ſunt
<
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/>
ſecundum longitudinem, quædam rurſus in principio ♋ uel ♑ ſunt quæ rurſus peculia-
<
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/>
rem habent rationẽ, & </
s
>
<
s
xml:id
="
echoid-s6439
"
xml:space
="
preserve
">ſimiliter hinc inde extra illos circulos duos ſparſim conſpiciũtur.</
s
>
<
s
xml:id
="
echoid-s6440
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xml:space
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6441
"
xml:space
="
preserve
">De ſtellis quæ ſunt in principio ♈ uel ♎.</
s
>
<
s
xml:id
="
echoid-s6442
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6443
"
xml:space
="
preserve
">Hic ſi ſtellam aliquam conſpexeris, duc ſinum latitudinis ſtellæ in ſinum complemen
<
lb
/>
<
note
position
="
left
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xlink:label
="
note-0078-04
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xlink:href
="
note-0078-04a
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xml:space
="
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">
<
emph
style
="
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">Per laterd-</
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>
<
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/>
<
emph
style
="
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">lem ingreſ-</
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>
<
lb
/>
<
emph
style
="
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">lam aſſeque-</
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>
<
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/>
<
emph
style
="
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">ris illud.</
emph
>
</
note
>
ti maximæ declinationis Solis, & </
s
>
<
s
xml:id
="
echoid-s6444
"
xml:space
="
preserve
">productum diuide in totum, arcus quotientis mon-
<
lb
/>
ſtrabit declinationem ſtellæ propoſitæ.</
s
>
<
s
xml:id
="
echoid-s6445
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6446
"
xml:space
="
preserve
">Deijs quæ ſunt in principio ♋ uel ♑.</
s
>
<
s
xml:id
="
echoid-s6447
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6448
"
xml:space
="
preserve
">Si latitudo ſtellæ fuerit ſeptentrionalis, & </
s
>
<
s
xml:id
="
echoid-s6449
"
xml:space
="
preserve
">ſtella ipſa in principio ♋, tunc adde maxi-
<
lb
/>
mam Solis declinationem ad latitudinem ſtellæ, & </
s
>
<
s
xml:id
="
echoid-s6450
"
xml:space
="
preserve
">habebis eius declinationem: </
s
>
<
s
xml:id
="
echoid-s6451
"
xml:space
="
preserve
">ſin au-
<
lb
/>
tem latitudo ſtellæ meridionalis extiterit, ſtella exiſtente in principio ♋, & </
s
>
<
s
xml:id
="
echoid-s6452
"
xml:space
="
preserve
">tunc latitu-
<
lb
/>
do ſit 23. </
s
>
<
s
xml:id
="
echoid-s6453
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6454
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s6455
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6456
"
xml:space
="
preserve
">ſtella declinationem nullam habebit. </
s
>
<
s
xml:id
="
echoid-s6457
"
xml:space
="
preserve
">Adhuc ſi latitudo ſit minor
<
lb
/>
maxima Solis declinatione, ſubtrahe tunc latitudinem ſtellæ à maxima Solis declinati
<
lb
/>
one, & </
s
>
<
s
xml:id
="
echoid-s6458
"
xml:space
="
preserve
">remanebit declinatio ſtellæ ſeptentrionalis. </
s
>
<
s
xml:id
="
echoid-s6459
"
xml:space
="
preserve
">At ſi latitudo ſtellæ fuerit maior ma
<
lb
/>
xima declinatione Solis, ſubtrahes inde maximam illam Solis declinationem, & </
s
>
<
s
xml:id
="
echoid-s6460
"
xml:space
="
preserve
">reſidu
<
lb
/>
um erit declinatio ipſa ſtellæ meridionalis. </
s
>
<
s
xml:id
="
echoid-s6461
"
xml:space
="
preserve
">Simili modo operare etiam ſi ſtella fuerit in
<
lb
/>
principio ♑, @iſi quòd tunc inuertenda ſunt omnia, & </
s
>
<
s
xml:id
="
echoid-s6462
"
xml:space
="
preserve
">ubi hic ſeptentrionem habuiſti,
<
lb
/>
illic pones meridiem, & </
s
>
<
s
xml:id
="
echoid-s6463
"
xml:space
="
preserve
">econtra.</
s
>
<
s
xml:id
="
echoid-s6464
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6465
"
xml:space
="
preserve
">De ſtellis quæ alibi poſitæ ſunt extra illos duos circulos.</
s
>
<
s
xml:id
="
echoid-s6466
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6467
"
xml:space
="
preserve
">Principio hic uide, an ſtella ad ♋ uel ♑ propius accedat, ſiue ſecundum ſiue </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>