Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM PER PET. APIANVM.
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minorem ſubtrahe à maiori, & </
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>
<
s
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echoid-s7349
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xml:space
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">reſiduum erit diſtantia nadir Solis à media nocte, à meri-
<
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diano eam conuerte in horas horarum´ minuta, & </
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>
<
s
xml:id
="
echoid-s7350
"
xml:space
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">ſi aſcenſio recta nadir fuerit maior
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quàm gradus medij cœli, ſubtrahe diſtantiã illã horarũ à 12. </
s
>
<
s
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echoid-s7351
"
xml:space
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">horis, & </
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>
<
s
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xml:space
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">remanebit hora no-
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ctis quæſita. </
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>
<
s
xml:id
="
echoid-s7353
"
xml:space
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">Sed ſi aſcenſio recta nadir Solis minor extiterit quàm gradus medij cœli,
<
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tunc oſtendet differentia horaria horas poſt medium noctis. </
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<
s
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echoid-s7354
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<
s
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<
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<
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PLVM
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E
<
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uideatur hoc tibi, niſi exemplum conſideres, ecce adſumo ſpicam uirginis, declinatio e-
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lus tempore introniſationis eſt 8. </
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<
s
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<
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<
s
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<
s
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xml:space
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<
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<
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<
s
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<
s
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xml:space
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ſubtraho declinationem à complemento altitudinis poli (quia declinatio eſt meridiona
<
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lis) remanebit altitudo ſtellæ meridiana 33. </
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<
s
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<
s
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<
s
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<
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<
s
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xml:space
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productum diuido in ſinum complementi altitudinis poli 48. </
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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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bit 8299. </
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<
s
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xml:space
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">inuentum primum. </
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>
<
s
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="
echoid-s7375
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xml:space
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">Porrò etiam duco ſinum altitudinis ſtellæ quam inueni in
<
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parte occidentis ad 29 gra. </
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<
s
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<
s
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<
s
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xml:space
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">in nocte ante uel poſt intronizationis horam, & </
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<
s
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48836. </
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<
s
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xml:space
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">in totum ſinum, productum diuido in ſinum complementi Auguſtanæ quæ ſup
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ponitur 48. </
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<
s
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<
s
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<
s
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<
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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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uento primo, & </
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<
s
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<
s
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echoid-s7387
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xml:space
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">Inſuper duco reſiduum illud etiam in ſinum
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totum, productum diuido in ſinum cõplementi declinationis ſtellæ. </
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>
<
s
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<
s
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<
s
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<
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eſt 10189. </
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<
s
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">inuentum tertium: </
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>
<
s
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">quod quia minus eſt toto ſinu, ſubtraho de eo, & </
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>
<
s
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<
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<
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</
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89811. </
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<
s
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xml:space
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">arcus eius eſt 63, gra, 55. </
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<
s
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<
s
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echoid-s7396
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xml:space
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>
<
s
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echoid-s7397
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s
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<
s
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echoid-s7398
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xml:space
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<
s
xml:id
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echoid-s7399
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<
s
xml:id
="
echoid-s7400
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</
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<
s
xml:id
="
echoid-s7401
"
xml:space
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">diſtantia ſtellæ à medio cœli, numerãdo in æquatore in aſcenſione recta ſtellæ, quum´
<
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/>
ſtella iſta in hac obſeruatione ſita eſt à meridie uerſus occidentem, addere debeo differen
<
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tiam hanc ad aſcenſionem rectam ſtellæ ſ. </
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>
<
s
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echoid-s7402
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<
s
xml:id
="
echoid-s7403
"
xml:space
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<
s
xml:id
="
echoid-s7404
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xml:space
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">& </
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<
s
xml:id
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echoid-s7405
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">erunt 220. </
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<
s
xml:id
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echoid-s7406
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xml:space
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">gra. </
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<
s
xml:id
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echoid-s7407
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xml:space
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<
s
xml:id
="
echoid-s7408
"
xml:space
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>
<
s
xml:id
="
echoid-s7409
"
xml:space
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">gradus ille
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æquatoris qui tangit medium cœli ipſa hora intronizationis. </
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>
<
s
xml:id
="
echoid-s7410
"
xml:space
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">Scio autem certo me inue
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niſſe per 7. </
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<
s
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<
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<
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<
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mi. </
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>
<
s
xml:id
="
echoid-s7415
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>
<
s
xml:id
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echoid-s7416
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<
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<
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echoid-s7418
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<
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<
s
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<
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<
s
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<
s
xml:id
="
echoid-s7423
"
xml:space
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>
<
s
xml:id
="
echoid-s7424
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xml:space
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">aſcenſio ſcilicet re-
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cta nadir Solis, hoc eſt oppoſiti gradus Solis. </
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>
<
s
xml:id
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xml:space
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">Iam nihil eſt quod agam cum aſcenſione
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ſtellæ, ſed uideo utra aſcenſionum ſit maior, illa ne medij cœli, an nadir Solis, hinc mino
<
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/>
rem ſubtraho à maiori, hoc eſt medij cœli. </
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>
<
s
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<
s
xml:id
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<
s
xml:id
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echoid-s7428
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">gra. </
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<
s
xml:id
="
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<
s
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echoid-s7430
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<
s
xml:id
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echoid-s7431
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<
s
xml:id
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echoid-s7432
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<
s
xml:id
="
echoid-s7433
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>
<
s
xml:id
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echoid-s7434
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xml:space
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">mi. </
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>
<
s
xml:id
="
echoid-s7435
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xml:space
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20. </
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>
<
s
xml:id
="
echoid-s7436
"
xml:space
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s
>
<
s
xml:id
="
echoid-s7437
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s
>
<
s
xml:id
="
echoid-s7438
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xml:space
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s
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<
s
xml:id
="
echoid-s7439
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xml:space
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">& </
s
>
<
s
xml:id
="
echoid-s7440
"
xml:space
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">faciunt unam horam 21. </
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>
<
s
xml:id
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echoid-s7441
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xml:space
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s
>
<
s
xml:id
="
echoid-s7442
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xml:space
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">quæ diſtantia eſt nadir Solis à medio cœli,
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& </
s
>
<
s
xml:id
="
echoid-s7443
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xml:space
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">quia aſcenſio recta nadir Solis uerſus orientem uergit à meridie ſupputando, ideo ſub
<
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traho 1. </
s
>
<
s
xml:id
="
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xml:space
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">horam 21. </
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>
<
s
xml:id
="
echoid-s7445
"
xml:space
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<
s
xml:id
="
echoid-s7446
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xml:space
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">à 12. </
s
>
<
s
xml:id
="
echoid-s7447
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xml:space
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">horis, ſic remanet 10. </
s
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<
s
xml:id
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echoid-s7448
"
xml:space
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">hora 39. </
s
>
<
s
xml:id
="
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xml:space
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">mi. </
s
>
<
s
xml:id
="
echoid-s7450
"
xml:space
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">noctis. </
s
>
<
s
xml:id
="
echoid-s7451
"
xml:space
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">Si enim nadir Solis
<
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/>
ita lumen haberet, uel ſtella ut ☉(sun) ipſe, horas monſtraret inſtar Solis, at ideo, quãdo op
<
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poſitio eſt ☉(sun) & </
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>
<
s
xml:id
="
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xml:space
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">☽, ipſa ☽ etiam eſt in nadir Solis, aut certe proxima ei, ideo Luna quum
<
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plena in omnibus horalogijs uiatorijs horas indicatut Sol, quamuis ratione latitudinis
<
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/>
Lunæ & </
s
>
<
s
xml:id
="
echoid-s7453
"
xml:space
="
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">uicinitatis ad horã nõnihil erroris ibi cõtingere poteſt, ſed hæc aliàs copioſius.</
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>
<
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</
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</
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<
head
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>
<
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>
<
s
xml:id
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xml:space
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">Duarum ſtellarum fixarum uel errantium, diuerſas´ latitudinum deno-
<
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minationes habentium, diſtantias ab inuicem colligere.</
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>
<
s
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="
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</
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<
p
>
<
s
xml:id
="
echoid-s7457
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xml:space
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">Diſtantias ſtellarum hic demonſtrabimus, quarum alia meridionalem, alia latitudi-
<
lb
/>
nem habet ſeptentrionalem, in reliquis enim quæ in nomine latitudinis non differunt,
<
lb
/>
adhibebis pronunc. </
s
>
<
s
xml:id
="
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>
<
s
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<
s
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="
echoid-s7460
"
xml:space
="
preserve
">72. </
s
>
<
s
xml:id
="
echoid-s7461
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s7462
"
xml:space
="
preserve
">73. </
s
>
<
s
xml:id
="
echoid-s7463
"
xml:space
="
preserve
">ſiquidem ea diſtantias explicant ciuitatũ, de quibus
<
lb
/>
quicquid in quæſtionem & </
s
>
<
s
xml:id
="
echoid-s7464
"
xml:space
="
preserve
">dubium uertitur, pari modo etiã hic in ſtellis diſſolui poteſt,
<
lb
/>
quum terra æque ſit corpus ſphæricum at firmamentum. </
s
>
<
s
xml:id
="
echoid-s7465
"
xml:space
="
preserve
">Quum autem ſunt ciuitates
<
lb
/>
duæ, quarum altera latitudinem habet Borealem, Auſtralem altera ab æquatore, earum
<
lb
/>
diſtantias ibi non docuimus inuenire per exempla, ſed ad hunc locum de induſtria diſtu-
<
lb
/>
limus, ubi per ſtellas rem hanc indicare decreuimus, quibus operatio ea non paulo etiam
<
lb
/>
eſt accommodatior, poteſt autem ad loca terreſtria conſimili quo modo applicari, ſic
<
lb
/>
igitur habet. </
s
>
<
s
xml:id
="
echoid-s7466
"
xml:space
="
preserve
">Sinum complementi latitudinis ſeptentrionalis duc in ſinum differentiæ
<
lb
/>
longitudinis, & </
s
>
<
s
xml:id
="
echoid-s7467
"
xml:space
="
preserve
">diuide per totum ſinum, quotiens dicetur inuentum primum, Comple-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0087-05
"
xlink:href
="
note-0087-05a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">primum</
emph
>
.</
note
>
mentum eius tibi propone & </
s
>
<
s
xml:id
="
echoid-s7468
"
xml:space
="
preserve
">ſinum latitudinis Borealis, minorem duc in totum, produ-
<
lb
/>
ctum diuide in maiorem, arcus quotientis additus latitudini meridionali, producit inuen
<
lb
/>
tum ſecundum. </
s
>
<
s
xml:id
="
echoid-s7469
"
xml:space
="
preserve
">Sinus complementorum utriuſ inuenti, duc in ſç inuicem, productum
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0087-06
"
xlink:href
="
note-0087-06a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">ſecundum</
emph
>
.</
note
>
diuide per ſinum totum, arcus quotientis de 90. </
s
>
<
s
xml:id
="
echoid-s7470
"
xml:space
="
preserve
">ſublatus, reliquas tibi facit </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
