Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 97
>
Scan
Original
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
<
1 - 30
31 - 60
61 - 90
91 - 97
>
page
|<
<
of 97
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div213
"
type
="
section
"
level
="
1
"
n
="
108
">
<
p
>
<
s
xml:id
="
echoid-s7348
"
xml:space
="
preserve
">
<
pb
file
="
0087
"
n
="
87
"
rhead
="
TABVLARVM SINVVM PER PET. APIANVM.
"/>
minorem ſubtrahe à maiori, & </
s
>
<
s
xml:id
="
echoid-s7349
"
xml:space
="
preserve
">reſiduum erit diſtantia nadir Solis à media nocte, à meri-
<
lb
/>
diano eam conuerte in horas horarum´ minuta, & </
s
>
<
s
xml:id
="
echoid-s7350
"
xml:space
="
preserve
">ſi aſcenſio recta nadir fuerit maior
<
lb
/>
quàm gradus medij cœli, ſubtrahe diſtantiã illã horarũ à 12. </
s
>
<
s
xml:id
="
echoid-s7351
"
xml:space
="
preserve
">horis, & </
s
>
<
s
xml:id
="
echoid-s7352
"
xml:space
="
preserve
">remanebit hora no-
<
lb
/>
ctis quæſita. </
s
>
<
s
xml:id
="
echoid-s7353
"
xml:space
="
preserve
">Sed ſi aſcenſio recta nadir Solis minor extiterit quàm gradus medij cœli,
<
lb
/>
tunc oſtendet differentia horaria horas poſt medium noctis. </
s
>
<
s
xml:id
="
echoid-s7354
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s7355
"
xml:space
="
preserve
">? Difficile & </
s
>
<
s
xml:id
="
echoid-s7356
"
xml:space
="
preserve
">obſcurum
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0087-01
"
xlink:href
="
note-0087-01a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
E
<
emph
style
="
it
">piſoopi.</
emph
>
</
note
>
uideatur hoc tibi, niſi exemplum conſideres, ecce adſumo ſpicam uirginis, declinatio e-
<
lb
/>
lus tempore introniſationis eſt 8. </
s
>
<
s
xml:id
="
echoid-s7357
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7358
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s7359
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7360
"
xml:space
="
preserve
">complementum uero 81. </
s
>
<
s
xml:id
="
echoid-s7361
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7362
"
xml:space
="
preserve
">44. </
s
>
<
s
xml:id
="
echoid-s7363
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7364
"
xml:space
="
preserve
">ſi iam
<
lb
/>
ſubtraho declinationem à complemento altitudinis poli (quia declinatio eſt meridiona
<
lb
/>
lis) remanebit altitudo ſtellæ meridiana 33. </
s
>
<
s
xml:id
="
echoid-s7365
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7366
"
xml:space
="
preserve
">44. </
s
>
<
s
xml:id
="
echoid-s7367
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7368
"
xml:space
="
preserve
">ſinum eius 55532. </
s
>
<
s
xml:id
="
echoid-s7369
"
xml:space
="
preserve
">duco in totũ,
<
lb
/>
productum diuido in ſinum complementi altitudinis poli 48. </
s
>
<
s
xml:id
="
echoid-s7370
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7371
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7372
"
xml:space
="
preserve
">66913. </
s
>
<
s
xml:id
="
echoid-s7373
"
xml:space
="
preserve
">quotiens da-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0087-02
"
xlink:href
="
note-0087-02a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">primum</
emph
>
</
note
>
bit 8299. </
s
>
<
s
xml:id
="
echoid-s7374
"
xml:space
="
preserve
">inuentum primum. </
s
>
<
s
xml:id
="
echoid-s7375
"
xml:space
="
preserve
">Porrò etiam duco ſinum altitudinis ſtellæ quam inueni in
<
lb
/>
parte occidentis ad 29 gra. </
s
>
<
s
xml:id
="
echoid-s7376
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s7377
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7378
"
xml:space
="
preserve
">in nocte ante uel poſt intronizationis horam, & </
s
>
<
s
xml:id
="
echoid-s7379
"
xml:space
="
preserve
">eſt
<
lb
/>
48836. </
s
>
<
s
xml:id
="
echoid-s7380
"
xml:space
="
preserve
">in totum ſinum, productum diuido in ſinum complementi Auguſtanæ quæ ſup
<
lb
/>
ponitur 48. </
s
>
<
s
xml:id
="
echoid-s7381
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7382
"
xml:space
="
preserve
">quotiens erit inuentum ſecundum. </
s
>
<
s
xml:id
="
echoid-s7383
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7384
"
xml:space
="
preserve
">72908. </
s
>
<
s
xml:id
="
echoid-s7385
"
xml:space
="
preserve
">at ipſum ſubtraho de in-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0087-03
"
xlink:href
="
note-0087-03a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">ſecundum</
emph
>
</
note
>
uento primo, & </
s
>
<
s
xml:id
="
echoid-s7386
"
xml:space
="
preserve
">manent in reſiduo 10083. </
s
>
<
s
xml:id
="
echoid-s7387
"
xml:space
="
preserve
">Inſuper duco reſiduum illud etiam in ſinum
<
lb
/>
totum, productum diuido in ſinum cõplementi declinationis ſtellæ. </
s
>
<
s
xml:id
="
echoid-s7388
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7389
"
xml:space
="
preserve
">98960. </
s
>
<
s
xml:id
="
echoid-s7390
"
xml:space
="
preserve
">quotiens
<
lb
/>
eſt 10189. </
s
>
<
s
xml:id
="
echoid-s7391
"
xml:space
="
preserve
">inuentum tertium: </
s
>
<
s
xml:id
="
echoid-s7392
"
xml:space
="
preserve
">quod quia minus eſt toto ſinu, ſubtraho de eo, & </
s
>
<
s
xml:id
="
echoid-s7393
"
xml:space
="
preserve
">remanẽt
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0087-04
"
xlink:href
="
note-0087-04a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">tertium.</
emph
>
</
note
>
89811. </
s
>
<
s
xml:id
="
echoid-s7394
"
xml:space
="
preserve
">arcus eius eſt 63, gra, 55. </
s
>
<
s
xml:id
="
echoid-s7395
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7396
"
xml:space
="
preserve
">quibus ſubtractis de 90. </
s
>
<
s
xml:id
="
echoid-s7397
"
xml:space
="
preserve
">relinquuntur 26. </
s
>
<
s
xml:id
="
echoid-s7398
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7399
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s7400
"
xml:space
="
preserve
">mi.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s7401
"
xml:space
="
preserve
">diſtantia ſtellæ à medio cœli, numerãdo in æquatore in aſcenſione recta ſtellæ, quum´
<
lb
/>
ſtella iſta in hac obſeruatione ſita eſt à meridie uerſus occidentem, addere debeo differen
<
lb
/>
tiam hanc ad aſcenſionem rectam ſtellæ ſ. </
s
>
<
s
xml:id
="
echoid-s7402
"
xml:space
="
preserve
">194. </
s
>
<
s
xml:id
="
echoid-s7403
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7404
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s7405
"
xml:space
="
preserve
">erunt 220. </
s
>
<
s
xml:id
="
echoid-s7406
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7407
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s7408
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7409
"
xml:space
="
preserve
">gradus ille
<
lb
/>
æquatoris qui tangit medium cœli ipſa hora intronizationis. </
s
>
<
s
xml:id
="
echoid-s7410
"
xml:space
="
preserve
">Scio autem certo me inue
<
lb
/>
niſſe per 7. </
s
>
<
s
xml:id
="
echoid-s7411
"
xml:space
="
preserve
">pronunciatum aſcenſionem rectam ☉(sun) in die intronizationis ad 60. </
s
>
<
s
xml:id
="
echoid-s7412
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7413
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s7414
"
xml:space
="
preserve
">
<
lb
/>
mi. </
s
>
<
s
xml:id
="
echoid-s7415
"
xml:space
="
preserve
">addo ijs ſemicirculum. </
s
>
<
s
xml:id
="
echoid-s7416
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7417
"
xml:space
="
preserve
">180. </
s
>
<
s
xml:id
="
echoid-s7418
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7419
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s7420
"
xml:space
="
preserve
">proueniunt 240. </
s
>
<
s
xml:id
="
echoid-s7421
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7422
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s7423
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7424
"
xml:space
="
preserve
">aſcenſio ſcilicet re-
<
lb
/>
cta nadir Solis, hoc eſt oppoſiti gradus Solis. </
s
>
<
s
xml:id
="
echoid-s7425
"
xml:space
="
preserve
">Iam nihil eſt quod agam cum aſcenſione
<
lb
/>
ſtellæ, ſed uideo utra aſcenſionum ſit maior, illa ne medij cœli, an nadir Solis, hinc mino
<
lb
/>
rem ſubtraho à maiori, hoc eſt medij cœli. </
s
>
<
s
xml:id
="
echoid-s7426
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s7427
"
xml:space
="
preserve
">220. </
s
>
<
s
xml:id
="
echoid-s7428
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7429
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s7430
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7431
"
xml:space
="
preserve
">à 240. </
s
>
<
s
xml:id
="
echoid-s7432
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7433
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s7434
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7435
"
xml:space
="
preserve
">remanent
<
lb
/>
20. </
s
>
<
s
xml:id
="
echoid-s7436
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7437
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s7438
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7439
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s7440
"
xml:space
="
preserve
">faciunt unam horam 21. </
s
>
<
s
xml:id
="
echoid-s7441
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7442
"
xml:space
="
preserve
">quæ diſtantia eſt nadir Solis à medio cœli,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s7443
"
xml:space
="
preserve
">quia aſcenſio recta nadir Solis uerſus orientem uergit à meridie ſupputando, ideo ſub
<
lb
/>
traho 1. </
s
>
<
s
xml:id
="
echoid-s7444
"
xml:space
="
preserve
">horam 21. </
s
>
<
s
xml:id
="
echoid-s7445
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7446
"
xml:space
="
preserve
">à 12. </
s
>
<
s
xml:id
="
echoid-s7447
"
xml:space
="
preserve
">horis, ſic remanet 10. </
s
>
<
s
xml:id
="
echoid-s7448
"
xml:space
="
preserve
">hora 39. </
s
>
<
s
xml:id
="
echoid-s7449
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7450
"
xml:space
="
preserve
">noctis. </
s
>
<
s
xml:id
="
echoid-s7451
"
xml:space
="
preserve
">Si enim nadir Solis
<
lb
/>
ita lumen haberet, uel ſtella ut ☉(sun) ipſe, horas monſtraret inſtar Solis, at ideo, quãdo op
<
lb
/>
poſitio eſt ☉(sun) & </
s
>
<
s
xml:id
="
echoid-s7452
"
xml:space
="
preserve
">☽, ipſa ☽ etiam eſt in nadir Solis, aut certe proxima ei, ideo Luna quum
<
lb
/>
plena in omnibus horalogijs uiatorijs horas indicatut Sol, quamuis ratione latitudinis
<
lb
/>
Lunæ & </
s
>
<
s
xml:id
="
echoid-s7453
"
xml:space
="
preserve
">uicinitatis ad horã nõnihil erroris ibi cõtingere poteſt, ſed hæc aliàs copioſius.</
s
>
<
s
xml:id
="
echoid-s7454
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div215
"
type
="
section
"
level
="
1
"
n
="
109
">
<
head
xml:id
="
echoid-head113
"
xml:space
="
preserve
">PRONVNCIATVM XCVII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s7455
"
xml:space
="
preserve
">Duarum ſtellarum fixarum uel errantium, diuerſas´ latitudinum deno-
<
lb
/>
minationes habentium, diſtantias ab inuicem colligere.</
s
>
<
s
xml:id
="
echoid-s7456
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s7457
"
xml:space
="
preserve
">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
="
echoid-s7458
"
xml:space
="
preserve
">70. </
s
>
<
s
xml:id
="
echoid-s7459
"
xml:space
="
preserve
">71. </
s
>
<
s
xml:id
="
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
>