Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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86
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GENVINVS VSVS
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incipit apparere uel occultari, quære angulum eclypticæ & </
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<
s
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echoid-s7265
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">horizontis iuxta iſtud pun-
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ctum eclypticæ, per 31, pronunciatum in parte orientis, ſi ſcire cupis apparitionem uel
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occultationem matutinam, ſinus eius eſt ipſe diuiſor, deinde duc ſinum arcus uiſionis in
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<
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<
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<
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ſinum totum, productum diuide in diuiſorem, arcus quotientis oſtendet arcum eclypti-
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cæ: </
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>
<
s
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echoid-s7266
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xml:space
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">ſi locum ſtellæ redigam ad horizontem, & </
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<
s
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echoid-s7267
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xml:space
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">tantum numerem ſecundum ordinem ſi-
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gnorum, quantum ipſe quotiẽs habet, & </
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>
<
s
xml:id
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echoid-s7268
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xml:space
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preserve
">umc ſi numerus hic gradum Solis non attingit,
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ſtella iſta uidetur adhuc ante ortum Solis, ſcilicet aut arcus quotientis gradum Solis ap
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præhendi, ſtella hæc amplius uiderinon poteſt: </
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<
s
xml:id
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echoid-s7269
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xml:space
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">ſimili quo modo operaberis in parte
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occidua, niſi quòd ibi arcum quotientis numerabis contra ordinem ſignorum, quòd ſi
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/>
arcus iſte præciſe locum Solis appræhendit, eo ipſo die incipit ſtella iſta occultari, uel ex
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radijs ſolaribus emergit & </
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>
<
s
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echoid-s7270
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xml:space
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">apparetprimum. </
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<
s
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echoid-s7271
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xml:space
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">Quando autem planeta aliquis non præciſe
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eſt in eclyptica, tunc quære per 93. </
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<
s
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echoid-s7272
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xml:space
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">gradum, cum quo oritur in parte orientis, & </
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<
s
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echoid-s7273
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xml:space
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<
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PLVM
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E
<
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pi.</
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</
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lum eclypticæ cũ horizonte per 32. </
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<
s
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echoid-s7274
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xml:space
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">& </
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<
s
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echoid-s7275
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<
s
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echoid-s7276
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<
s
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<
s
xml:id
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echoid-s7278
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xml:space
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">? Videa-
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mus iam an ☿ die intronizationis etiam ante ortum Solis uideri oportuerit, aut an ſur-
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tiuus (uti ſolet) & </
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>
<
s
xml:id
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echoid-s7279
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">tacitus ad hanc uenerit intronizationem. </
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<
s
xml:id
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echoid-s7280
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xml:space
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">Inuentum habeo gradum e-
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clypticæ cum quo euaſit ille ſuper horizontem per 93. </
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<
s
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echoid-s7281
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xml:space
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">pronunciatum, is fuit 19. </
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<
s
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">gia. </
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<
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echoid-s7283
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</
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<
s
xml:id
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echoid-s7284
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<
s
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echoid-s7285
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<
s
xml:id
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echoid-s7286
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xml:space
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">Deinde habeo etiam per 31. </
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<
s
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xml:space
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<
s
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echoid-s7288
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">32. </
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<
s
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echoid-s7289
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xml:space
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">angulum quam facit eclyptica cum horizon
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te iuxta gradum occidentis, is eſt 22. </
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<
s
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echoid-s7290
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">gra. </
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<
s
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echoid-s7291
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<
s
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echoid-s7292
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">mi. </
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<
s
xml:id
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echoid-s7293
"
xml:space
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">ſinus huius anguli eſt 38563. </
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<
s
xml:id
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echoid-s7294
"
xml:space
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">& </
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>
<
s
xml:id
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echoid-s7295
"
xml:space
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">quia ar-
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cus uiſionis eſt 10. </
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<
s
xml:id
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echoid-s7296
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xml:space
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">gra. </
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<
s
xml:id
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echoid-s7297
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xml:space
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">ſinus quo ipſius 17364. </
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<
s
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echoid-s7298
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xml:space
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">duco ſinum illum in totum, productum
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diuido in 38563. </
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<
s
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echoid-s7299
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">quotiens erit 45028. </
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>
<
s
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echoid-s7300
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">arcus autem eius 26. </
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<
s
xml:id
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echoid-s7301
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">gra. </
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<
s
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echoid-s7302
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<
s
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echoid-s7303
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">mi. </
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<
s
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echoid-s7304
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xml:space
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">& </
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<
s
xml:id
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echoid-s7305
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xml:space
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">tantum quidẽ
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diſtare debet Sol ab horizonte ſecundum eclypticam, ut appareat ille, quod ſi propius ac
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ceſſerit, non uidebitur, ſi iam à 19. </
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<
s
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<
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<
s
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<
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<
s
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echoid-s7310
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<
s
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echoid-s7311
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<
s
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echoid-s7312
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">mi. </
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<
s
xml:id
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echoid-s7313
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xml:space
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">numerauero ſecundum
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ordinem ſignorum, finis iſtius arcuspertinget ad 16. </
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<
s
xml:id
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echoid-s7314
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">gra. </
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<
s
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echoid-s7315
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">29. </
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<
s
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echoid-s7316
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xml:space
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">II, ubi oporteret eſſe So-
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lem, ſi principio ſtatim uideri deberet ☿, & </
s
>
<
s
xml:id
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echoid-s7317
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xml:space
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">quò magis ☉(sun) inde receſſerit, cò diutius ap-
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parebit ☿ ante Solis exortum, quia autem arcum eitis non attingit, certum eſt eum occul
<
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to ſe proripuiſſe ultra horizontem. </
s
>
<
s
xml:id
="
echoid-s7318
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xml:space
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">Nunc uideamus an etiam ſic ſurtim ſeſe ſubduxerit
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(uti plærun facit) ſub horizontem, uelan poſt Solis occaſum adhuc uideri potuerit,
<
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/>
primo conſidero gradum Solis, & </
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>
<
s
xml:id
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echoid-s7319
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xml:space
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">gradum cum quo occidit ☿, quem inueni per præmiſ-
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ſam eſſe 9. </
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<
s
xml:id
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<
s
xml:id
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xml:space
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<
s
xml:id
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echoid-s7322
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xml:space
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">mi. </
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>
<
s
xml:id
="
echoid-s7323
"
xml:space
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">Ecce iam in aperto eſt, quia ☿ ante ☉(sun) occaſum ſe coniecit ſub hori
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zontem, exiſtente ☉(sun) in 2. </
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>
<
s
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xml:space
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<
s
xml:id
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echoid-s7325
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<
s
xml:id
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echoid-s7326
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<
s
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">II, unde nec ulla ulteriori inquiſitione opus erit.</
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</
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type
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<
head
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<
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<
s
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xml:space
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">Ex altitudine ſtellæ fixæ uel planetæ ſupra horizontem etiam noctis ho-
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ram elicere.</
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>
<
s
xml:id
="
echoid-s7330
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</
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<
p
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<
s
xml:id
="
echoid-s7331
"
xml:space
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">Ad hanc rem opus tibi erit declinatione ſtellæ complemento altitudinis poli, aſcenſi
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<
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="
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xlink:label
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note-0086-03
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xlink:href
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<
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style
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<
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<
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<
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<
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</
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one recta ſtellæ, & </
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>
<
s
xml:id
="
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xml:space
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">aſcenſione recta Solis, altitudine quo meridiana ſtellæ, altitudine eti
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am ſtellæ ſuper horizontem, & </
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>
<
s
xml:id
="
echoid-s7333
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xml:space
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">complemento declinationis ſtellæ. </
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>
<
s
xml:id
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echoid-s7334
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xml:space
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">Duc igitur ſinum al
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titudinis meridianæ in totum, productum diuide in ſinum complementi altitudinis poli,
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quotiens iſte erit inuentum primum. </
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>
<
s
xml:id
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echoid-s7335
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xml:space
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">Duc etiam ſinum altitudinis ſtellæ ſuper horizon-
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<
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xlink:label
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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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style
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>
</
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>
tem tempore obſeruationis in totũ, productum diuide in ſinum com plementi altitudinis
<
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poli, quotiens dicetur inuentum ſecundum, & </
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<
s
xml:id
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">hoc ſubtrahe à primo, quia ſemper eſt mi
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nus, & </
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<
s
xml:id
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xml:space
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">reſiduum rurſus duc in ſinum totum, productũ diuide in ſinum complementi de-
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clinationis ſtellæ, quotiens uocabitur inuentum tertium. </
s
>
<
s
xml:id
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xml:space
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">Quod ſi minus fuerit ſinu toto,
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ſubtrahe illud à toto, & </
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>
<
s
xml:id
="
echoid-s7339
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xml:space
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">arcu reſidui iterũ de 90. </
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>
<
s
xml:id
="
echoid-s7340
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xml:space
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">gra. </
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>
<
s
xml:id
="
echoid-s7341
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xml:space
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">ſubducto, remanebit arcus diſtan-
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tiæ ſtellæ à meridiano. </
s
>
<
s
xml:id
="
echoid-s7342
"
xml:space
="
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">Sed ſi tertium illud inuentum maius extiterit ſinu toto, ſubtrahe
<
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ſinum totũ ab eo, & </
s
>
<
s
xml:id
="
echoid-s7343
"
xml:space
="
preserve
">ad arcum reſidui adde 90. </
s
>
<
s
xml:id
="
echoid-s7344
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xml:space
="
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">gra ſic´ habebis diſtantiã ſtellæ à meridi
<
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ano: </
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>
<
s
xml:id
="
echoid-s7345
"
xml:space
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">quòd ſi ſtella fuerit in parte orientis, puta à meridiano, tunc ſubtrahe illam diſtantiã
<
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/>
ab aſcenſione recta ſtellæ, uerum ſi ſtella apparuerit tempore obſeruationis in medietate
<
lb
/>
cœli occidentall, adde tunc iſtam diſtantiam ſtellæ ad eius aſcenſionem rectam, & </
s
>
<
s
xml:id
="
echoid-s7346
"
xml:space
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">habe-
<
lb
/>
bis ex aliquo illorum modorum gradum æquatoris, qui tangit medium cœ i ipſa hora ob
<
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/>
ſeruationis. </
s
>
<
s
xml:id
="
echoid-s7347
"
xml:space
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preserve
">Hic mihi confer illud etiam ad aſcenſionem rectam nadir Solis, hoc eſt, ſi
<
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180. </
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>
<
s
xml:id
="
echoid-s7348
"
xml:space
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preserve
">addas ad aſcenſionem rectam, iam habes aſcenſionem nadir Solis rectam, </
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