Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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ftellarum inquiſitas. </
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<
s
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xml:space
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<
s
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xml:space
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">? Exempli loco iterum aſſumo Mercurſum, cuius cupio ſcire
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PLVM
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E
<
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>
</
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diſtantiam à quarta ſtella Agitatoris, quam ueriſicaui per 2. </
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<
s
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xml:space
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pronunciato 85. </
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<
s
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xml:space
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22. </
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<
s
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<
s
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echoid-s7476
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xml:space
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<
s
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echoid-s7477
"
xml:space
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">mi. </
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<
s
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echoid-s7478
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xml:space
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">II, habuit´ in latitudine ſeptent. </
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<
s
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<
s
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echoid-s7480
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xml:space
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">gra. </
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<
s
xml:id
="
echoid-s7481
"
xml:space
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">Mercurius etiam ipſa hora in-
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tronizationis fuit in 10. </
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<
s
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="
echoid-s7482
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">gra. </
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<
s
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echoid-s7483
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<
s
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echoid-s7484
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<
s
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echoid-s7485
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<
s
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echoid-s7486
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<
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echoid-s7487
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<
s
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echoid-s7488
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nutorum. </
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<
s
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xml:space
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">Differentia igitur longitudinis eſt 42. </
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<
s
xml:id
="
echoid-s7490
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xml:space
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">gra. </
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<
s
xml:id
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echoid-s7491
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xml:space
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<
s
xml:id
="
echoid-s7492
"
xml:space
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">mi. </
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<
s
xml:id
="
echoid-s7493
"
xml:space
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">ſinum ipſius 67408. </
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>
<
s
xml:id
="
echoid-s7494
"
xml:space
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">duco
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in ſinum complementi latitudinis ſeptentrionalis, ſcilicet 20. </
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<
s
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echoid-s7495
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xml:space
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<
s
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echoid-s7496
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xml:space
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<
s
xml:id
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echoid-s7497
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<
s
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echoid-s7498
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autem 93969. </
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<
s
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echoid-s7499
"
xml:space
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">productum diuido in totum, quotiens eſt 63342. </
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<
s
xml:id
="
echoid-s7500
"
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">arcus eius 39 gra. </
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<
s
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="
echoid-s7501
"
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<
s
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="
echoid-s7502
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</
s
>
<
s
xml:id
="
echoid-s7503
"
xml:space
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">inuentum primum. </
s
>
<
s
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="
echoid-s7504
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xml:space
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">Complementũ eius eſt 50. </
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<
s
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echoid-s7505
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xml:space
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<
s
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="
echoid-s7506
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xml:space
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<
s
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="
echoid-s7507
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xml:space
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">mi. </
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>
<
s
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="
echoid-s7508
"
xml:space
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">ſinus uero 77384. </
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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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ſor, iam nunc duco ſinum latitudinis ſeptentrionalis, ſcilicet 20. </
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<
s
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<
s
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echoid-s7511
"
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<
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<
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diuido in diuiſorem, quotiens erit 44197. </
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<
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echoid-s7513
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<
s
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echoid-s7514
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<
s
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echoid-s7515
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s
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<
s
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echoid-s7516
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xml:space
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">mi. </
s
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<
s
xml:id
="
echoid-s7517
"
xml:space
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">quibus addo latitu-
<
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dinem Mercurij meridionalem ſcilicet 3. </
s
>
<
s
xml:id
="
echoid-s7518
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<
s
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="
echoid-s7519
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<
s
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="
echoid-s7520
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s
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<
s
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xml:space
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">proueniũt inde 29. </
s
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<
s
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echoid-s7522
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<
s
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<
s
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echoid-s7524
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<
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<
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uentũ ſecundũ. </
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<
s
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xml:space
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">Complementũ ipſius eſt 60. </
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<
s
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echoid-s7527
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<
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<
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<
s
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xml:space
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">ſinum eius 86891. </
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<
s
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echoid-s7531
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xml:space
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">duco in ſinũ
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<
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<
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.</
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complementi primi inuenti ſcilicet 50. </
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<
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<
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<
s
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<
s
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echoid-s7535
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">77384. </
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<
s
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">& </
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<
s
xml:id
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xml:space
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">diuido in ſinum totum, quo
<
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tiens eſt 67239. </
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<
s
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echoid-s7538
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xml:space
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<
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echoid-s7539
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<
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<
s
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echoid-s7541
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">mi. </
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<
s
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echoid-s7542
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xml:space
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">quo ſubtracto de 90. </
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<
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echoid-s7543
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<
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>
<
s
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="
echoid-s7545
"
xml:space
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">45. </
s
>
<
s
xml:id
="
echoid-s7546
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xml:space
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">mi.
<
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</
s
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<
s
xml:id
="
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xml:space
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">diſtantia nimirum iſta ſtellarum quam in hoc maxime nolui cælare, ut ſimile exemplũ
<
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etiam in locis terreſtris imiteris.</
s
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</
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<
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<
s
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">Altitudinem ſtellæ ſupra horizontẽ exiſtentis, in omni regione omni´
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hora exacto calculo indagare.</
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<
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</
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<
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<
s
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="
echoid-s7551
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xml:space
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">Principio duc ſinum diſtantiæ ſtellæ à meridiano in ſinum complementi declinatio-
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nis, & </
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>
<
s
xml:id
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xml:space
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<
s
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xml:space
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">Mox
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xlink:label
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xlink:href
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<
emph
style
="
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>
<
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<
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="
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emph
>
</
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>
propone tibi ſinum complementi huius inuenti & </
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>
<
s
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xml:space
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">ſinum declinationis ſtellæ, minorem
<
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duc in totum, productum diuide in maiorem, arcus quotientis latitudini regionis addi
<
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/>
tus, producit inuentum ſecundum. </
s
>
<
s
xml:id
="
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xml:space
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">Nunc iam duc ſinum complementi inuenti ſecundi
<
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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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emph
>
.</
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>
in ſinum complementi inuenti primi, productum diuide in totum, arcus quotientis o-
<
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/>
ſtendit altitudinem ſtellæ ſupra horizontem. </
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>
<
s
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="
echoid-s7556
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xml:space
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">?</
s
>
<
s
xml:id
="
echoid-s7557
"
xml:space
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">? Exemplum hic tibi cape huiuſmodi.
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</
s
>
<
s
xml:id
="
echoid-s7558
"
xml:space
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">Adſumo ecce ſpicam uirginis per quam antea in nocte intronizationis horam obſerua
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0088-06
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xlink:href
="
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xml:space
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">EXEM-
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PLVM
<
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E
<
emph
style
="
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">piſcopi</
emph
>
.</
note
>
ui per altitudinem, iam uero ex ipſa hora quæro altitudinem. </
s
>
<
s
xml:id
="
echoid-s7559
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xml:space
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">Declinatio ita ſpicæ eſt
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8. </
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>
<
s
xml:id
="
echoid-s7560
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xml:space
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">gra. </
s
>
<
s
xml:id
="
echoid-s7561
"
xml:space
="
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">26. </
s
>
<
s
xml:id
="
echoid-s7562
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s7563
"
xml:space
="
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">merid. </
s
>
<
s
xml:id
="
echoid-s7564
"
xml:space
="
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">complementum aũt 81. </
s
>
<
s
xml:id
="
echoid-s7565
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s7566
"
xml:space
="
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">44. </
s
>
<
s
xml:id
="
echoid-s7567
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s7568
"
xml:space
="
preserve
">ſinum ipſius 98960. </
s
>
<
s
xml:id
="
echoid-s7569
"
xml:space
="
preserve
">duco in ſi-
<
lb
/>
num diſtantiæ ſtellæ à meridie, quam exempli loco accipio 26. </
s
>
<
s
xml:id
="
echoid-s7570
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s7571
"
xml:space
="
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">5 mi. </
s
>
<
s
xml:id
="
echoid-s7572
"
xml:space
="
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">ſinus eius eſt
<
lb
/>
43967. </
s
>
<
s
xml:id
="
echoid-s7573
"
xml:space
="
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">productum diuido in totum, quotiens producit 43509. </
s
>
<
s
xml:id
="
echoid-s7574
"
xml:space
="
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">arcus ip ſius eſt 25. </
s
>
<
s
xml:id
="
echoid-s7575
"
xml:space
="
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">gra.
<
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</
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<
s
xml:id
="
echoid-s7576
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xml:space
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">48. </
s
>
<
s
xml:id
="
echoid-s7577
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s7578
"
xml:space
="
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">inuentum illud primum. </
s
>
<
s
xml:id
="
echoid-s7579
"
xml:space
="
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">Porrò ſinum declinationis 14378. </
s
>
<
s
xml:id
="
echoid-s7580
"
xml:space
="
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">duco in totum, diui-
<
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/>
<
note
position
="
left
"
xlink:label
="
note-0088-07
"
xlink:href
="
note-0088-07a
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xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
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">primum</
emph
>
.</
note
>
do deinde productum in ſinum complementi primi inuenti, quotiens erit 15970. </
s
>
<
s
xml:id
="
echoid-s7581
"
xml:space
="
preserve
">arcus
<
lb
/>
iſtius eſt 9. </
s
>
<
s
xml:id
="
echoid-s7582
"
xml:space
="
preserve
">gra. </
s
>
<
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xml:id
="
echoid-s7583
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s7584
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s7585
"
xml:space
="
preserve
">quibus addo eleuationẽ poli 48. </
s
>
<
s
xml:id
="
echoid-s7586
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7587
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s7588
"
xml:space
="
preserve
">ſumma fit 57. </
s
>
<
s
xml:id
="
echoid-s7589
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7590
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s7591
"
xml:space
="
preserve
">mi.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7592
"
xml:space
="
preserve
">inuentum ſecundum. </
s
>
<
s
xml:id
="
echoid-s7593
"
xml:space
="
preserve
">Adhuc ſinum complementi ſecundi inuenti duco in ſinum primi
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0088-08
"
xlink:href
="
note-0088-08a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
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emph
>
.</
note
>
inuenti. </
s
>
<
s
xml:id
="
echoid-s7594
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7595
"
xml:space
="
preserve
">54170. </
s
>
<
s
xml:id
="
echoid-s7596
"
xml:space
="
preserve
">in 90031. </
s
>
<
s
xml:id
="
echoid-s7597
"
xml:space
="
preserve
">productum diuido in totum. </
s
>
<
s
xml:id
="
echoid-s7598
"
xml:space
="
preserve
">quotiens erit 48770. </
s
>
<
s
xml:id
="
echoid-s7599
"
xml:space
="
preserve
">arcus eius
<
lb
/>
eſt 29. </
s
>
<
s
xml:id
="
echoid-s7600
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7601
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s7602
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7603
"
xml:space
="
preserve
">altitudo iſta ſtellæ.</
s
>
<
s
xml:id
="
echoid-s7604
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div219
"
type
="
section
"
level
="
1
"
n
="
111
">
<
head
xml:id
="
echoid-head115
"
xml:space
="
preserve
">PRONVNCIATVM XCIX.</
head
>
<
p
>
<
s
xml:id
="
echoid-s7605
"
xml:space
="
preserve
">Diſtantiam ſtellæ horizontalem à circulo meridiano omni hora in-
<
lb
/>
ueſtigare.</
s
>
<
s
xml:id
="
echoid-s7606
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7607
"
xml:space
="
preserve
">Ad inueniendum autem azimuth ſtellæ propone tibi ſinum complementi altitudinis
<
lb
/>
ſtellæ iam per præmiſſam inuentæ, & </
s
>
<
s
xml:id
="
echoid-s7608
"
xml:space
="
preserve
">ſinum inuenti primi quem per præcedentem inue
<
lb
/>
niſti, minorem duc in totum, productum diuide in maiorem, arcus quotientis dabit azi
<
lb
/>
muth ſtellæ, quod alio nomine dicimus diſtantiam horizõtalem â meridiano. </
s
>
<
s
xml:id
="
echoid-s7609
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s7610
"
xml:space
="
preserve
">? Ex-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0088-09
"
xlink:href
="
note-0088-09a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
E
<
emph
style
="
it
">piſcopi</
emph
>
.</
note
>
empli gratia. </
s
>
<
s
xml:id
="
echoid-s7611
"
xml:space
="
preserve
">Ex ſuperiori pronunciato inueni inuentum primum, ſinum eius 43509.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7612
"
xml:space
="
preserve
">duco in ſinum totum, & </
s
>
<
s
xml:id
="
echoid-s7613
"
xml:space
="
preserve
">productum diuido in ſinum complementi altitudinis ſtellæ iam
<
lb
/>
ex ſuperiori pron
<
unsure
/>
un@iato inuentæ. </
s
>
<
s
xml:id
="
echoid-s7614
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7615
"
xml:space
="
preserve
">43509. </
s
>
<
s
xml:id
="
echoid-s7616
"
xml:space
="
preserve
">quotiens eius eſt 47713. </
s
>
<
s
xml:id
="
echoid-s7617
"
xml:space
="
preserve
">arcus autem 29. </
s
>
<
s
xml:id
="
echoid-s7618
"
xml:space
="
preserve
">
<
lb
/>
gra. </
s
>
<
s
xml:id
="
echoid-s7619
"
xml:space
="
preserve
">55. </
s
>
<
s
xml:id
="
echoid-s7620
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7621
"
xml:space
="
preserve
">talis eſt dictantia ſtellæ à meridiano uerſus occaſum.</
s
>
<
s
xml:id
="
echoid-s7622
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>
