Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
page
|<
<
of 97
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div194
"
type
="
section
"
level
="
1
"
n
="
100
">
<
p
>
<
s
xml:id
="
echoid-s6683
"
xml:space
="
preserve
">
<
pb
file
="
0081
"
n
="
81
"
rhead
="
TABVLARVM SINVVM PER PET. APIANVM.
"/>
æquatoris inter aſcenſiones ipſarum concluſum. </
s
>
<
s
xml:id
="
echoid-s6684
"
xml:space
="
preserve
">Mox ducito ſinum complementi de-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-01
"
xlink:href
="
note-0081-01a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Illud inueni</
emph
>
<
lb
/>
<
emph
style
="
it
">es later ali-</
emph
>
<
lb
/>
<
emph
style
="
it
">ter.</
emph
>
</
note
>
clinationis minoris in ſinum differentiæ aſcenſionum illarum, productum diuide in to-
<
lb
/>
tum, arcum porrò quotientis iſtius uocabimus inuentum primum. </
s
>
<
s
xml:id
="
echoid-s6685
"
xml:space
="
preserve
">Poſtea ſinum mino-
<
lb
/>
rem ex ſinu minoris declinationis & </
s
>
<
s
xml:id
="
echoid-s6686
"
xml:space
="
preserve
">complementi huius primi inuenti duc in totum, & </
s
>
<
s
xml:id
="
echoid-s6687
"
xml:space
="
preserve
">
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-02
"
xlink:href
="
note-0081-02a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">primum.</
emph
>
</
note
>
productum diuide in maiorem, arcum quotientis ſubtrahe de declinatione maiori, reſi-
<
lb
/>
duum dic inuentum ſecundum. </
s
>
<
s
xml:id
="
echoid-s6688
"
xml:space
="
preserve
">Præterea duc ſinum complementi ſecundi inuenti in ſi-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-03
"
xlink:href
="
note-0081-03a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Hoc area-</
emph
>
<
lb
/>
<
emph
style
="
it
">tim quæren</
emph
>
<
lb
/>
<
emph
style
="
it
">ti pater.</
emph
>
</
note
>
dum cõplementi primi inuenti, & </
s
>
<
s
xml:id
="
echoid-s6689
"
xml:space
="
preserve
">diuide productum in totum, arcus quotientis pordu-
<
lb
/>
cet ipſas diſtantias ſtellarum. </
s
>
<
s
xml:id
="
echoid-s6690
"
xml:space
="
preserve
">Inſuper adhuc ſinum primi inuenti duc in totum, produ-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-04
"
xlink:href
="
note-0081-04a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">ſecundum.</
emph
>
</
note
>
ctum diuide in ſinum diſtantiæ, & </
s
>
<
s
xml:id
="
echoid-s6691
"
xml:space
="
preserve
">arcus quotientis dabit inuentum tertium. </
s
>
<
s
xml:id
="
echoid-s6692
"
xml:space
="
preserve
">Ad extre-
<
lb
/>
mum duc etiam ſinum inuenti huius tertij in ſinum complementi declinationis maioris,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-05
"
xlink:href
="
note-0081-05a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Primum ba</
emph
>
<
lb
/>
<
emph
style
="
it
">betur ꝑ late</
emph
>
<
lb
/>
<
emph
style
="
it
">ra, ſecundũ</
emph
>
<
lb
/>
<
emph
style
="
it
">uero per</
emph
>
<
lb
/>
<
emph
style
="
it
">aream.</
emph
>
</
note
>
producto hinc in totum diuiſo, arcus quotientis monſtrabit altitudinem poli quæſitam.</
s
>
<
s
xml:id
="
echoid-s6693
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6694
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s6695
"
xml:space
="
preserve
">? Anima duerte etiam hic exemplum quod tibi dabimus. </
s
>
<
s
xml:id
="
echoid-s6696
"
xml:space
="
preserve
">Eſto ut Auguſtæ in loco intro
<
lb
/>
nizat onis uiſæ ſint ſtellæ duæ in horizontem ſimul oriri, quarum etiam loca ſint cogni-
<
lb
/>
ta, & </
s
>
<
s
xml:id
="
echoid-s6697
"
xml:space
="
preserve
">altera quidem habuerit in declinatione 18. </
s
>
<
s
xml:id
="
echoid-s6698
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6699
"
xml:space
="
preserve
">11. </
s
>
<
s
xml:id
="
echoid-s6700
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6701
"
xml:space
="
preserve
">altera autem 34. </
s
>
<
s
xml:id
="
echoid-s6702
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6703
"
xml:space
="
preserve
">19. </
s
>
<
s
xml:id
="
echoid-s6704
"
xml:space
="
preserve
">mi.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6705
"
xml:space
="
preserve
">quæ eſt declinatio maior. </
s
>
<
s
xml:id
="
echoid-s6706
"
xml:space
="
preserve
">Differentia aſcenſionum rectarum ſit 28. </
s
>
<
s
xml:id
="
echoid-s6707
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6708
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s6709
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6710
"
xml:space
="
preserve
">iam ſinũ
<
lb
/>
complementi minoris declinationis 95006. </
s
>
<
s
xml:id
="
echoid-s6711
"
xml:space
="
preserve
">duco in ſinum differentiæ aſcenſionum re-
<
lb
/>
ctarum ſcilicet 47588. </
s
>
<
s
xml:id
="
echoid-s6712
"
xml:space
="
preserve
">quotientem diuido in totum, is eſt 45211. </
s
>
<
s
xml:id
="
echoid-s6713
"
xml:space
="
preserve
">arcus ipſius 26. </
s
>
<
s
xml:id
="
echoid-s6714
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6715
"
xml:space
="
preserve
">
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-06
"
xlink:href
="
note-0081-06a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
E
<
emph
style
="
it
">piſcopi.</
emph
>
</
note
>
53. </
s
>
<
s
xml:id
="
echoid-s6716
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6717
"
xml:space
="
preserve
">dicetur inuentum primum. </
s
>
<
s
xml:id
="
echoid-s6718
"
xml:space
="
preserve
">ſinum minoris declinationis ſcilicet 31210. </
s
>
<
s
xml:id
="
echoid-s6719
"
xml:space
="
preserve
">duco in
<
lb
/>
totum, productum diuido in ſinum complementi primi inuenti ſcilicet 89192. </
s
>
<
s
xml:id
="
echoid-s6720
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s6721
"
xml:space
="
preserve
">diuido
<
lb
/>
productum in totum, quotiens producit 34991. </
s
>
<
s
xml:id
="
echoid-s6722
"
xml:space
="
preserve
">arcus eius eſt 20. </
s
>
<
s
xml:id
="
echoid-s6723
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6724
"
xml:space
="
preserve
">29. </
s
>
<
s
xml:id
="
echoid-s6725
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6726
"
xml:space
="
preserve
">quo ſubtra
<
lb
/>
cto à maiori declinatione ſtellarum, ſcilicet 34. </
s
>
<
s
xml:id
="
echoid-s6727
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6728
"
xml:space
="
preserve
">19. </
s
>
<
s
xml:id
="
echoid-s6729
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6730
"
xml:space
="
preserve
">remanent 13. </
s
>
<
s
xml:id
="
echoid-s6731
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6732
"
xml:space
="
preserve
">50. </
s
>
<
s
xml:id
="
echoid-s6733
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6734
"
xml:space
="
preserve
">in-
<
lb
/>
uentum ſecundum. </
s
>
<
s
xml:id
="
echoid-s6735
"
xml:space
="
preserve
">Porrò ſinum complem@nti huius ſecundi inuenti 97099. </
s
>
<
s
xml:id
="
echoid-s6736
"
xml:space
="
preserve
">duco in ſinũ
<
lb
/>
complementi primi inuenti, ſcilicet 89192. </
s
>
<
s
xml:id
="
echoid-s6737
"
xml:space
="
preserve
">quotientem diuido in totum, eſt autem quo-
<
lb
/>
tiens 86604. </
s
>
<
s
xml:id
="
echoid-s6738
"
xml:space
="
preserve
">arcus ipſius eſt 60. </
s
>
<
s
xml:id
="
echoid-s6739
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6740
"
xml:space
="
preserve
">complementum uero 30. </
s
>
<
s
xml:id
="
echoid-s6741
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6742
"
xml:space
="
preserve
">diſtantia illa duarum
<
lb
/>
ſtellarum. </
s
>
<
s
xml:id
="
echoid-s6743
"
xml:space
="
preserve
">lam quo duco ſinum primi inuenti 45211. </
s
>
<
s
xml:id
="
echoid-s6744
"
xml:space
="
preserve
">in totum, & </
s
>
<
s
xml:id
="
echoid-s6745
"
xml:space
="
preserve
">diuido in ſinum di-
<
lb
/>
ſtantiæ, quotiens eſt 90422. </
s
>
<
s
xml:id
="
echoid-s6746
"
xml:space
="
preserve
">arcus illius 64, gra. </
s
>
<
s
xml:id
="
echoid-s6747
"
xml:space
="
preserve
">44. </
s
>
<
s
xml:id
="
echoid-s6748
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6749
"
xml:space
="
preserve
">inuentum tertium. </
s
>
<
s
xml:id
="
echoid-s6750
"
xml:space
="
preserve
">Poſtremo du-
<
lb
/>
co & </
s
>
<
s
xml:id
="
echoid-s6751
"
xml:space
="
preserve
">ſinum complementi maioris declinationis 82593. </
s
>
<
s
xml:id
="
echoid-s6752
"
xml:space
="
preserve
">in ſinum tertij inuenti 90434. </
s
>
<
s
xml:id
="
echoid-s6753
"
xml:space
="
preserve
">ꝓ
<
lb
/>
ductum diuido in totum, & </
s
>
<
s
xml:id
="
echoid-s6754
"
xml:space
="
preserve
">quotiens erit 74692. </
s
>
<
s
xml:id
="
echoid-s6755
"
xml:space
="
preserve
">arcus eius 48. </
s
>
<
s
xml:id
="
echoid-s6756
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6757
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s6758
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6759
"
xml:space
="
preserve
">altitudo iſta
<
lb
/>
polinon ſine magnainduſtria ad locum intronizationis quæſita & </
s
>
<
s
xml:id
="
echoid-s6760
"
xml:space
="
preserve
">inuenta.</
s
>
<
s
xml:id
="
echoid-s6761
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div197
"
type
="
section
"
level
="
1
"
n
="
101
">
<
head
xml:id
="
echoid-head105
"
xml:space
="
preserve
">PRONVNCIATVM LXXXIX.</
head
>
<
p
>
<
s
xml:id
="
echoid-s6762
"
xml:space
="
preserve
">Punctum iſtud eclypticæ cum quo ſtella ſeu punctum quoduis cœli me-
<
lb
/>
dium tangit, perſcrutari.</
s
>
<
s
xml:id
="
echoid-s6763
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6764
"
xml:space
="
preserve
">Ex ſuperiori pronunciato quære aſcenſionem rectam ſtellæ, deinde per 8. </
s
>
<
s
xml:id
="
echoid-s6765
"
xml:space
="
preserve
">pronuncia
<
lb
/>
tum quære gradum ſiue punctum eclypticæ, qui aſcendit in ſphæra recta unà cum gradu
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-07
"
xlink:href
="
note-0081-07a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Illud diſces</
emph
>
<
lb
/>
<
emph
style
="
it
">ſecundum</
emph
>
<
lb
/>
<
emph
style
="
it
">latera.</
emph
>
</
note
>
æquatoris ſiue aſcenſione recta ſtellæ, & </
s
>
<
s
xml:id
="
echoid-s6766
"
xml:space
="
preserve
">inuenies punctum hoc modo. </
s
>
<
s
xml:id
="
echoid-s6767
"
xml:space
="
preserve
">Duc ſinum com-
<
lb
/>
plementi aſcenſionis rectæ in ſinum maximæ declinationis, productum diuide in ſinum
<
lb
/>
totum, & </
s
>
<
s
xml:id
="
echoid-s6768
"
xml:space
="
preserve
">arcum quotientis ſubtrahe de 90. </
s
>
<
s
xml:id
="
echoid-s6769
"
xml:space
="
preserve
">ſinus reſidui deinceps erit diuiſor. </
s
>
<
s
xml:id
="
echoid-s6770
"
xml:space
="
preserve
">Mox ubi
<
lb
/>
ſinum aſcenſionis recte duxeris in totum, & </
s
>
<
s
xml:id
="
echoid-s6771
"
xml:space
="
preserve
">productum in ipſum diuiſeris diuiſorem,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-08
"
xlink:href
="
note-0081-08a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Hoc area-</
emph
>
<
lb
/>
<
emph
style
="
it
">tim quæren</
emph
>
<
lb
/>
<
emph
style
="
it
">ti patet.</
emph
>
</
note
>
arcus quotientis oſtendet arcum eclypticæ, cuius extremitas mediat cœlum unà cum
<
lb
/>
ſtella propoſita. </
s
>
<
s
xml:id
="
echoid-s6772
"
xml:space
="
preserve
">Sin autem aſcenſio recta maior fuerit quàm 90. </
s
>
<
s
xml:id
="
echoid-s6773
"
xml:space
="
preserve
">operare cum comple-
<
lb
/>
mento eius, & </
s
>
<
s
xml:id
="
echoid-s6774
"
xml:space
="
preserve
">arcum inuentum computa â principio Libræ contra ordinem ſignorum.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6775
"
xml:space
="
preserve
">Et ſi aſcenſio etiamſi amplior fuerit quàm 180. </
s
>
<
s
xml:id
="
echoid-s6776
"
xml:space
="
preserve
">tunc arcum ipſum ſupputa à principio ♎
<
lb
/>
ſecundum ſeriem ſignorum: </
s
>
<
s
xml:id
="
echoid-s6777
"
xml:space
="
preserve
">ſed ſi aſcenſio illa maior fuerit quàm 270. </
s
>
<
s
xml:id
="
echoid-s6778
"
xml:space
="
preserve
">numera arcum
<
lb
/>
inuentum à principio Arietis contra ſignorum ordinem. </
s
>
<
s
xml:id
="
echoid-s6779
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s6780
"
xml:space
="
preserve
">? Exemplum hoc conſidera
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0081-09
"
xlink:href
="
note-0081-09a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
E
<
emph
style
="
it
">piſoopi.</
emph
>
</
note
>
Aſſume iterum quartam ſtellam Agitatoris, quæ ſub ipſam horam intronizationis ferè
<
lb
/>
cum Sole in uno circulo poſitionis extitit, aſcenſio eius recta quam ex præcedentibus in
<
lb
/>
ueni, eſt 80. </
s
>
<
s
xml:id
="
echoid-s6781
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6782
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s6783
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6784
"
xml:space
="
preserve
">Complementum eius 9. </
s
>
<
s
xml:id
="
echoid-s6785
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6786
"
xml:space
="
preserve
">35. </
s
>
<
s
xml:id
="
echoid-s6787
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6788
"
xml:space
="
preserve
">ſinum ipſius. </
s
>
<
s
xml:id
="
echoid-s6789
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s6790
"
xml:space
="
preserve
">16648. </
s
>
<
s
xml:id
="
echoid-s6791
"
xml:space
="
preserve
">duco
<
lb
/>
in ſinum maximæ declinationis, productum diuido in totum, quotiens eſt 6639. </
s
>
<
s
xml:id
="
echoid-s6792
"
xml:space
="
preserve
">arcus il
<
lb
/>
lius 3. </
s
>
<
s
xml:id
="
echoid-s6793
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6794
"
xml:space
="
preserve
">49. </
s
>
<
s
xml:id
="
echoid-s6795
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6796
"
xml:space
="
preserve
">ſinus autem complementi 99778. </
s
>
<
s
xml:id
="
echoid-s6797
"
xml:space
="
preserve
">eſt ipſe diuiſor, ſi iam duxero ſinum
<
lb
/>
aſcenſionis rectæ 80. </
s
>
<
s
xml:id
="
echoid-s6798
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6799
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s6800
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6801
"
xml:space
="
preserve
">ſcilicet 98604. </
s
>
<
s
xml:id
="
echoid-s6802
"
xml:space
="
preserve
">in totum, & </
s
>
<
s
xml:id
="
echoid-s6803
"
xml:space
="
preserve
">diuiſero in diuiſorem, quoti-
<
lb
/>
ens exhibebit mihi 98823. </
s
>
<
s
xml:id
="
echoid-s6804
"
xml:space
="
preserve
">cuius arcus eſt 81. </
s
>
<
s
xml:id
="
echoid-s6805
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6806
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s6807
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6808
"
xml:space
="
preserve
">eũ ſi ſupputemà principio ♈,
<
lb
/>
finietur in 21. </
s
>
<
s
xml:id
="
echoid-s6809
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s6810
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s6811
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6812
"
xml:space
="
preserve
">II, cum quo etiam ſtella iſta medium attigit cœli.</
s
>
<
s
xml:id
="
echoid-s6813
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>
