Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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unius, â Cracouia uſ ad Hieruſalẽ ſunt 4 18. </
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<
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<
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<
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<
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ta ꝑte unius miliaris, ab Auguſta uſ ad Hieruſalẽ iã antea cognoui eſſe mili. </
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<
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<
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iam principio miliaria cõuerto in gradus & </
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<
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<
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runt 6. </
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<
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<
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<
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<
s
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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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<
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<
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<
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<
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<
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media ſubtracta à maxima, relinquit 4. </
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<
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<
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<
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<
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<
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tia prima. </
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<
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<
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<
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<
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<
s
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<
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maioris 83. </
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<
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<
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<
s
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<
s
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">cũ ſinu ſuo 99386. </
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<
s
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">uocat̃ differentia ſecunda, ſinũ huius differen-
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tiæ ſecundæ ſubtraho â ſinu cõplementi differẽtiæ primæ. </
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<
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<
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<
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<
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<
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tur 260. </
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<
s
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<
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<
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<
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ſinum maioris diſtãtiæ. </
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<
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<
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<
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<
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<
s
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">idipſum addo ad ſinũ differentiæ
<
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primæ, unde reſultabũt 8801. </
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<
s
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">nume℞ hunc in ſe duco quadrate, & </
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<
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<
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ſimiliter quadratus etiã ſinus ſecundæ differentiæ. </
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<
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<
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<
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">ꝓducet ex ſe 9877576996, u-
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trun ſi in ſummã unã addidero, ꝓuenient 9955034597. </
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<
s
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cem quæ eſt 99774. </
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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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<
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<
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<
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illud operatiõis. </
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<
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<
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nis Auguſtanæ et Cracouieñ. </
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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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<
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37. </
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<
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<
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<
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<
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">ijs additis ad angulum poſitiõnis ab Auguſta uſ in Hieruſalem, quem in
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74. </
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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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69. </
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<
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<
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<
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<
s
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">angulus ille poſitionis à meridiano ſeptentrionali uerſus ortum, ab Augu
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ſta Cracouiã uerſus cõputando, & </
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<
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<
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lius ſinum 93554. </
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<
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<
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<
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<
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<
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uido in totum, quotiens eſt 10347. </
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<
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<
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<
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plementi diſtãtiæ Cracouiæ ab Auguſta. </
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<
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<
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<
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num cõplementi primi inuenti. </
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<
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<
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<
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<
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">arcus eius eſt 87. </
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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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">ſublatus, relinꝗt ex ſe 2. </
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<
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<
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<
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<
s
xml:id
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">inuentũ puta ſecundũ. </
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<
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<
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<
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</
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traho arcũ ſecundi inuenti â cõplemento latitudinis Auguſtæ.</
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<
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<
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<
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<
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xml:space
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">mi. </
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<
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xml:id
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">& </
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<
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nent 39. </
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<
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<
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<
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">mi. </
s
>
<
s
xml:id
="
echoid-s5960
"
xml:space
="
preserve
">ſinum cõplementi huiusreſidui. </
s
>
<
s
xml:id
="
echoid-s5961
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5962
"
xml:space
="
preserve
">77273. </
s
>
<
s
xml:id
="
echoid-s5963
"
xml:space
="
preserve
">duco in ſinum cõplementi
<
lb
/>
primi inuenti. </
s
>
<
s
xml:id
="
echoid-s5964
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5965
"
xml:space
="
preserve
">99464. </
s
>
<
s
xml:id
="
echoid-s5966
"
xml:space
="
preserve
">ꝓductum diuido in ſinũ totum, & </
s
>
<
s
xml:id
="
echoid-s5967
"
xml:space
="
preserve
">q̊tiens erit 76858. </
s
>
<
s
xml:id
="
echoid-s5968
"
xml:space
="
preserve
">arcus eius
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-04
"
xlink:href
="
note-0074-04a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Latitudo</
emph
>
<
lb
/>
<
emph
style
="
it
">Cracouien-</
emph
>
<
lb
/>
<
emph
style
="
it
">ſis eſt gra.</
emph
>
<
lb
/>
<
emph
style
="
it
">50. mi. 13.</
emph
>
</
note
>
50. </
s
>
<
s
xml:id
="
echoid-s5969
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5970
"
xml:space
="
preserve
">13. </
s
>
<
s
xml:id
="
echoid-s5971
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5972
"
xml:space
="
preserve
">eſt ipſa latitudo Cracouiæ quæſita. </
s
>
<
s
xml:id
="
echoid-s5973
"
xml:space
="
preserve
">Etiamnũ iñ ſcienda mihi eſt differen-
<
lb
/>
tia lõgitudinis inter meridianũ Auguſteñ. </
s
>
<
s
xml:id
="
echoid-s5974
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5975
"
xml:space
="
preserve
">Crocouieñ. </
s
>
<
s
xml:id
="
echoid-s5976
"
xml:space
="
preserve
">ideo duco ſinum primi inuenti
<
lb
/>
. </
s
>
<
s
xml:id
="
echoid-s5977
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5978
"
xml:space
="
preserve
">10343. </
s
>
<
s
xml:id
="
echoid-s5979
"
xml:space
="
preserve
">in totum, & </
s
>
<
s
xml:id
="
echoid-s5980
"
xml:space
="
preserve
">diuido ꝓductũ in ſinũ cõplementi latitudinis iã inuenti. </
s
>
<
s
xml:id
="
echoid-s5981
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5982
"
xml:space
="
preserve
">64010.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5983
"
xml:space
="
preserve
">q̊tiens ꝓducit 16164. </
s
>
<
s
xml:id
="
echoid-s5984
"
xml:space
="
preserve
">cuius eſt 9. </
s
>
<
s
xml:id
="
echoid-s5985
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5986
"
xml:space
="
preserve
">19. </
s
>
<
s
xml:id
="
echoid-s5987
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5988
"
xml:space
="
preserve
">ea´ differentia eſt longitudinis. </
s
>
<
s
xml:id
="
echoid-s5989
"
xml:space
="
preserve
">Et ꝗa Cra
<
lb
/>
couia orientalior eſt ̈ Auguſta, addo illã differentiã ad latitudinem Auguſteñ. </
s
>
<
s
xml:id
="
echoid-s5990
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5991
"
xml:space
="
preserve
">28. </
s
>
<
s
xml:id
="
echoid-s5992
"
xml:space
="
preserve
">gr. </
s
>
<
s
xml:id
="
echoid-s5993
"
xml:space
="
preserve
">
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-05
"
xlink:href
="
note-0074-05a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Longitudo</
emph
>
<
lb
/>
<
emph
style
="
it
">Cracouien-</
emph
>
<
lb
/>
<
emph
style
="
it
">ſis eſt gra.</
emph
>
<
lb
/>
<
emph
style
="
it
">37. mi. 50.</
emph
>
</
note
>
31. </
s
>
<
s
xml:id
="
echoid-s5994
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5995
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5996
"
xml:space
="
preserve
">erunt Cracouiæ 37. </
s
>
<
s
xml:id
="
echoid-s5997
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5998
"
xml:space
="
preserve
">50. </
s
>
<
s
xml:id
="
echoid-s5999
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s6000
"
xml:space
="
preserve
">longitudinis, ſic iam tria illa ex unico pronun-
<
lb
/>
ciato inueni, quæ ſcitu uidebantur neceſſaria. </
s
>
<
s
xml:id
="
echoid-s6001
"
xml:space
="
preserve
">Si ꝓnunciatum hoc ꝓdignitate, & </
s
>
<
s
xml:id
="
echoid-s6002
"
xml:space
="
preserve
">ut res
<
lb
/>
ipſa exigit, tractãdum hic mihi fuiſſet, multa erãt adijcienda, q̃ operæprecium ſuerat ſcire
<
lb
/>
ueruntamen ea in alium locum reijcimus, ubi illa plenius & </
s
>
<
s
xml:id
="
echoid-s6003
"
xml:space
="
preserve
">fuſius explicabuntur, inte-
<
lb
/>
rim ijs fruere fœliciter, ſatis´ ſit, cogitandi occaſionem ampliorem tibi obtuliſſe.</
s
>
<
s
xml:id
="
echoid-s6004
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div173
"
type
="
section
"
level
="
1
"
n
="
90
">
<
head
xml:id
="
echoid-head94
"
xml:space
="
preserve
">PRONVNCIATVM LXXVIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s6005
"
xml:space
="
preserve
">Arcum circuli uerticalis cõcluſum inter meridianũ & </
s
>
<
s
xml:id
="
echoid-s6006
"
xml:space
="
preserve
">circulũ poſitiõis alicu
<
lb
/>
ius ſtellę ſiue puncti in cœlo extra eclypticã, uel in ea cõſiderarc & </
s
>
<
s
xml:id
="
echoid-s6007
"
xml:space
="
preserve
">agnoſcere.</
s
>
<
s
xml:id
="
echoid-s6008
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6009
"
xml:space
="
preserve
">Non hic iſtũ uolo angulũ poſitiõis de q̊ hactenus egi, ſed aliud quiddã eſt hic circulus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0074-06
"
xlink:href
="
note-0074-06a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Circulus po</
emph
>
<
lb
/>
<
emph
style
="
it
">ſitionis ꝗd,</
emph
>
<
lb
/>
<
emph
style
="
it
">& quomo</
emph
>
<
lb
/>
<
emph
style
="
it
">do imagi-</
emph
>
<
lb
/>
<
emph
style
="
it
">nandus ſit.</
emph
>
<
lb
/>
<
emph
style
="
it
">Qũo altitu</
emph
>
<
lb
/>
<
emph
style
="
it
">do poli ſuꝑ</
emph
>
<
lb
/>
<
emph
style
="
it
">ſemicirculũ</
emph
>
<
lb
/>
<
emph
style
="
it
">poſitiõis ſit</
emph
>
<
lb
/>
<
emph
style
="
it
">un aginãda</
emph
>
</
note
>
poſitionis, puta ſi duxero ab interſectiõe meridiani & </
s
>
<
s
xml:id
="
echoid-s6010
"
xml:space
="
preserve
">horizontis in parte meridionali cir
<
lb
/>
culum maiorẽ per corpus ſolare, aut alterius ſtellæ ubicun poſitæ, ſub uel ſupra horizõ
<
lb
/>
tem, uſ ad alterã interſectionẽ meridiani & </
s
>
<
s
xml:id
="
echoid-s6011
"
xml:space
="
preserve
">horizõtis in ꝑte ſeptentrionali. </
s
>
<
s
xml:id
="
echoid-s6012
"
xml:space
="
preserve
">Deinde ſi
<
lb
/>
ex polo mundi alium circulũ maiorẽ ducã uerſus hunc circulũ, ſuꝑ quẽ ille cadat directe
<
lb
/>
ad angulos rectos ſphærales, quotq̊t iã gradus intercepti ſunt in illo circulo inter polum
<
lb
/>
mundi, & </
s
>
<
s
xml:id
="
echoid-s6013
"
xml:space
="
preserve
">circulum poſitionis, idipſum ſanè uocat̃ altitudo poli ſuꝑ ſemicirculũ poſitiõis.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6014
"
xml:space
="
preserve
">At hic operæpreciũ eſt noſſe declinationẽ ſtellæ ſiue pũctiunà cũ diſtãtia à meridiano. </
s
>
<
s
xml:id
="
echoid-s6015
"
xml:space
="
preserve
">
<
lb
/>
ea ſi minor eſt ̈ 90. </
s
>
<
s
xml:id
="
echoid-s6016
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s6017
"
xml:space
="
preserve
">declinatio ſeptentrionalis, ſiue tũc punctũ iſtud tempore obſerua
<
lb
/>
tionis à meridiano fuerit uerſus ortũ ſiue occaſum, tunciam ducito ſinum </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
