Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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altitudine poliloci in q̊ facta eſt intronizatio, hactenus ſemp cõſtituimus 48. </
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do 2. </
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mi. </
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<
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<
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ueniunt in quotiẽte 94034. </
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ni finalis 16. </
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lo uerticali 36. </
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<
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ſecundũ, q̊d tan̈ minoris numeri ſubtraho â primo, & </
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finalis terminus Borealior ſit initiali termino arcus ꝓpoſiti, addo 9 gra. </
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ſionem rectã arcus ꝓpoſiti. </
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ſis in horas, ꝓdibũt hora una & </
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<
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ſcendens exiſtat, ſed ad meridianos eorum pertingat duplex eclypticæ pun
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ctum etiam ignotum, adhucinſuper cognoſcere latitudines & </
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longitudinis earum.</
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<
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cuiuslibet pũcti medij cœli, ſubtrahe deinde medium cœli aſcenſionem rectã, puta mino
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rem à reliquo gradu medij cœli, hoc eſt à maiori, relictum inde erit differentia longitudi-
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num inter utrun & </
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notum, porrò in quire altitudinem poli utriuſ iuxta præſcriptum pronunc.</
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habebis optatum, breui exemplo rem tibi demonſtrabimus. </
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arit cœlum. </
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<
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dente 5. </
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<
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<
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bos locos ſit diſferentia longitudinis. </
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PLVM
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nũc. </
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<
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diximus, uerum in ignota ciuitate fuit in medio cœli 23. </
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to quo fuit 5. </
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<
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<
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um, 21. </
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<
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<
s
xml:id
="
echoid-s4876
"
xml:space
="
preserve
">Iam
<
lb
/>
ſi aſcenſionem minorem ſubtraho à maiori, remanet differentia 6. </
s
>
<
s
xml:id
="
echoid-s4877
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4878
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s4879
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4880
"
xml:space
="
preserve
">differentia
<
lb
/>
inquam longitudinis iſtarum duarum ciuitatum. </
s
>
<
s
xml:id
="
echoid-s4881
"
xml:space
="
preserve
">Mox quæro & </
s
>
<
s
xml:id
="
echoid-s4882
"
xml:space
="
preserve
">angulũ meridiani at
<
lb
/>
eclypticæ iuxta gradũ medij cœli. </
s
>
<
s
xml:id
="
echoid-s4883
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s4884
"
xml:space
="
preserve
">23. </
s
>
<
s
xml:id
="
echoid-s4885
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4886
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s4887
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4888
"
xml:space
="
preserve
">γ, ꝗ eſt 68. </
s
>
<
s
xml:id
="
echoid-s4889
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4890
"
xml:space
="
preserve
">17. </
s
>
<
s
xml:id
="
echoid-s4891
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4892
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4893
"
xml:space
="
preserve
">diſtantiã à
<
lb
/>
medio cœli uſ ad aſcendentẽ, ꝗ ſunt 101. </
s
>
<
s
xml:id
="
echoid-s4894
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4895
"
xml:space
="
preserve
">48. </
s
>
<
s
xml:id
="
echoid-s4896
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4897
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4898
"
xml:space
="
preserve
">quũ hæc ſuꝑet 90. </
s
>
<
s
xml:id
="
echoid-s4899
"
xml:space
="
preserve
">ſubtraho à ſe
<
lb
/>
micirculo, & </
s
>
<
s
xml:id
="
echoid-s4900
"
xml:space
="
preserve
">remanẽt 78. </
s
>
<
s
xml:id
="
echoid-s4901
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4902
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s4903
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4904
"
xml:space
="
preserve
">Nũc inꝗro amplitudinẽ aſcendentis in hũc modũ:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4905
"
xml:space
="
preserve
">principio quæro ꝑ 26. </
s
>
<
s
xml:id
="
echoid-s4906
"
xml:space
="
preserve
">27. </
s
>
<
s
xml:id
="
echoid-s4907
"
xml:space
="
preserve
">uel 28. </
s
>
<
s
xml:id
="
echoid-s4908
"
xml:space
="
preserve
">angulũ quem facit eclyptica cũ meridiano iuxta gradũ
<
lb
/>
medij cœli, qui eſt 68. </
s
>
<
s
xml:id
="
echoid-s4909
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4910
"
xml:space
="
preserve
">17. </
s
>
<
s
xml:id
="
echoid-s4911
"
xml:space
="
preserve
">minutorũ, ſinus eſt 92902. </
s
>
<
s
xml:id
="
echoid-s4912
"
xml:space
="
preserve
">eũ duco in ſinũ 78. </
s
>
<
s
xml:id
="
echoid-s4913
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4914
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s4915
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4916
"
xml:space
="
preserve
">
<
lb
/>
ſcilicet 97886. </
s
>
<
s
xml:id
="
echoid-s4917
"
xml:space
="
preserve
">puta reſiduũ. </
s
>
<
s
xml:id
="
echoid-s4918
"
xml:space
="
preserve
">Poſẗ diſtantiã medij cœli ab aſcendente ſubtraxi de ſemi-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0066-02
"
xlink:href
="
note-0066-02a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Lateraliter.</
emph
>
</
note
>
circulo, productũ diuido in ſinum totum, & </
s
>
<
s
xml:id
="
echoid-s4919
"
xml:space
="
preserve
">in quotiente proueniunt 90938. </
s
>
<
s
xml:id
="
echoid-s4920
"
xml:space
="
preserve
">arcus eius
<
lb
/>
65. </
s
>
<
s
xml:id
="
echoid-s4921
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4922
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s4923
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4924
"
xml:space
="
preserve
">reſiduũ aũt à 90. </
s
>
<
s
xml:id
="
echoid-s4925
"
xml:space
="
preserve
">eſt 24. </
s
>
<
s
xml:id
="
echoid-s4926
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4927
"
xml:space
="
preserve
">35. </
s
>
<
s
xml:id
="
echoid-s4928
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4929
"
xml:space
="
preserve
">amplitudo. </
s
>
<
s
xml:id
="
echoid-s4930
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s4931
"
xml:space
="
preserve
">illa aſcendentis, cuius ele
<
lb
/>
uatio polaris adhuc eſt incognita. </
s
>
<
s
xml:id
="
echoid-s4932
"
xml:space
="
preserve
">Duco igitur ſinum declinationis aſcendentis gradus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0066-03
"
xlink:href
="
note-0066-03a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Arealiter.</
emph
>
</
note
>
32501. </
s
>
<
s
xml:id
="
echoid-s4933
"
xml:space
="
preserve
">puta minorem in ſinum totum, & </
s
>
<
s
xml:id
="
echoid-s4934
"
xml:space
="
preserve
">productũ diuido in ſinum amplitudinis 41601
<
lb
/>
in quotiente proueniunt 78125. </
s
>
<
s
xml:id
="
echoid-s4935
"
xml:space
="
preserve
">arcus ipſius 51. </
s
>
<
s
xml:id
="
echoid-s4936
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4937
"
xml:space
="
preserve
">23. </
s
>
<
s
xml:id
="
echoid-s4938
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4939
"
xml:space
="
preserve
">de 90. </
s
>
<
s
xml:id
="
echoid-s4940
"
xml:space
="
preserve
">ſubtractus, relinquit
<
lb
/>
38. </
s
>
<
s
xml:id
="
echoid-s4941
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4942
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s4943
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4944
"
xml:space
="
preserve
">quæ eſt altitudo poli ignotæ ciuitatis, quæ ſimul cum loco intronizatio-
<
lb
/>
nis eadem hora qua illa facta eſt, in aſcendente habuit 5. </
s
>
<
s
xml:id
="
echoid-s4945
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4946
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s4947
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4948
"
xml:space
="
preserve
">♌.</
s
>
<
s
xml:id
="
echoid-s4949
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div147
"
type
="
section
"
level
="
1
"
n
="
78
">
<
head
xml:id
="
echoid-head82
"
xml:space
="
preserve
">PRONVNCIATVM LXVI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s4950
"
xml:space
="
preserve
">Ciuitatibus duabus eundem aſcendentem habentibus eadem hora & </
s
>
<
s
xml:id
="
echoid-s4951
"
xml:space
="
preserve
">
<
lb
/>
momento, utriuſ etiam eleuationem poli perſpecta, differentiam longitu-
<
lb
/>
dinum inter eas concluſum inuenire.</
s
>
<
s
xml:id
="
echoid-s4952
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4953
"
xml:space
="
preserve
">Facilem operationẽ hoc habet ꝓnunciatũ, quũ em̃ iam ex ſuꝑioribus ꝓnunciatis aſcẽ
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0066-04
"
xlink:href
="
note-0066-04a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
<
emph
style
="
it
">Epiſcopi.</
emph
>
</
note
>
ſionẽ obliquã cognita habueris utriuſ loci, ſubtrahe ſtatim minorẽ à maiori, & </
s
>
<
s
xml:id
="
echoid-s4954
"
xml:space
="
preserve
">remane
<
lb
/>
bit differentia longitudinum, idex hoc exemplo cognoſces. </
s
>
<
s
xml:id
="
echoid-s4955
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s4956
"
xml:space
="
preserve
">?Auguſtæ eleuatus </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
