Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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<
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<
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xml:space
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<
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<
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<
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cundũ altitudinis ☉(sun), minorẽ duc in ſinũ ꝓfectũ, ꝓductũ diuide in maiorẽ, & </
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<
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tis à 90. </
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<
s
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<
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xml:space
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te, deinde minorem illũ ex ijs duobus duc in ſinũ totũ, ꝓductũ diuide in maiorẽ, & </
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<
s
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<
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quotientis mõſtrabit angulũ quæſitũ. </
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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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">?V is exemplo rem magis ob oculos poni? </
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PLVM
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<
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ce in ſaꝑiori perſiſtẽdo, dico in ipſa hora intronizationis Solẽ abfuiſſe ab aſcendente 62
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gra. </
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<
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<
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<
s
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">iã ita cõplementũ eius eſt 27. </
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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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">illũ ꝗa minor eſt
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duc in ſinũ totũ, ꝓductũ diu de ꝗ 70875. </
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<
s
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xml:space
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">at is eſt ſinus cõplemẽti altitudinis Solis ipſa
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hora intronizationis, in quotiẽte ꝓueniũt 64090. </
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<
s
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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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<
s
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">& </
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<
s
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">remanebũt 50. </
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<
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<
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<
s
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<
s
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xml:space
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">Reſidui huius iterũ quære ſinũ ſcilicet 76753. </
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<
s
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xml:space
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">eũ duc in totũ,
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diuide aũt productũ in ſinum diſtantiæ Solis ab aſcendente 89087. </
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>
<
s
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xml:space
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">in quotiente proue-
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niunt 86155. </
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<
s
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">arcus illius eſt 59, gra. </
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<
s
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<
s
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<
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">angulus. </
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<
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<
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<
s
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">Angulũ illũ, de qq̊ hactenus diſputatũ eſt, etiamnũ diuerſa uia inquirere.</
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<
s
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<
s
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">Iam nunc ſinũ cõplementi altitudinis meridianæ (gra dũ illũ uolo zodiaci, qui ſub ho-
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ram huius cõſiderationis mediũ cœli attingit, cuius etiã cõplementũ nihil aliud eſt niſi
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diſtãtia gradus illius à uertice capitis) duc in ſinũ anguli, quem facit eclyptica cũ meridia
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<
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ingreſ-</
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<
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no iuxta punctũ illud medij cœli, unde cõplementũ ſumitur, productũ diuide in ſinũ totũ
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quotientem ſerua in locũ aliquem ſeorſim, & </
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<
s
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">ei adiunge ſinũ altitudinis Solis, minorem
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ducin totũ, ꝓductũ in maiorẽ diuide, & </
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<
s
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ti. </
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<
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<
s
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xml:space
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<
s
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<
s
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">hora intronizatiõis fuit in me
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<
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<
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<
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dio cœli 16. </
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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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">hãc adde ad cõplemẽtũ altitudinis poli 48. </
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<
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<
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<
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48. </
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<
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<
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<
s
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">iam ſi cõplementũ eius accepero 41. </
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<
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<
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<
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<
s
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xml:space
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">ea ipſa eſt diſtantia medij
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cœli à zenith capitis, ſinum cõplementi huius 66174. </
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<
s
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">duco in ſinũ anguli, quẽ eclyptica
<
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PLVM
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Epiſcopi.</
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facit cũ meridiano iuxta illum gradum medij cœli, hunc etiam antea uaiijs rationibus ad
<
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inueni, eſt autem 67. </
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<
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<
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<
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<
s
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">ſinus eius 92309, productũ diuido in ſinum totũ, & </
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<
s
xml:id
="
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">quo
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tiens puta minorẽ duco in totum, productũ diuido in ſinum maiorem, in quotiente pro
<
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uenient 86173, arcus eius eſt 49. </
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<
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<
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<
s
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">mi. </
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<
s
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="
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">angulus ille quæſitus, quoniam hora intro-
<
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nizationis fuit ante meridiem. </
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>
<
s
xml:id
="
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xml:space
="
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">Sin autem hora conſiderationis eſſet pomeridiana, angu
<
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lus inuẽtus ſubtrahi deberet à ſemicirculo ad hoc ut remanebit quãtitas anguli quæſiti.</
s
>
<
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="
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</
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</
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<
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<
head
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="
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xml:space
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">PRONVNCIATVM L.</
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>
<
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>
<
s
xml:id
="
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xml:space
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">Cognito iam gradu aſcendentis, adhuc gradum eclypticæ qui mediat
<
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cœlum explorare.</
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>
<
s
xml:id
="
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</
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<
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>
<
s
xml:id
="
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xml:space
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">Quære principio amplitudinem aſcendentis per 12. </
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>
<
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">pronunc. </
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>
<
s
xml:id
="
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xml:space
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">ſinum eius duc in ſinũ
<
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anguli horizontis & </
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>
<
s
xml:id
="
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"
xml:space
="
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">eclypticæ, productum diuide in totum ſinum, deinde arcum quoti
<
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<
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position
="
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xlink:label
="
note-0056-06
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xlink:href
="
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<
emph
style
="
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">Lateralis</
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>
<
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<
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style
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">ingreſſus.</
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>
</
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>
entis ſubtrahe à 90. </
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>
<
s
xml:id
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xml:space
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">& </
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>
<
s
xml:id
="
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"
xml:space
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">ſinũ reſidui tibi propone, ſimul´ ſinum complementi altitudinis,
<
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/>
minorem ex ijs duc in ſinum totũ
<
emph
style
="
sub
">2</
emph
>
productũ diuide in maiorẽ, & </
s
>
<
s
xml:id
="
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"
xml:space
="
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">quotientis arcũ ſubtrahe
<
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<
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xlink:label
="
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<
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="
it
">Arealis in-</
emph
>
<
lb
/>
<
emph
style
="
it
">greſſus.</
emph
>
</
note
>
à gra du aſcendentis, hoc eſt numera tot gradus ab aſcendente cõtra ordinẽ ſignorũ, ſi-
<
lb
/>
modo tũc gradus aſcendẽtis fuerit in ſigno aliq̊ meridionali. </
s
>
<
s
xml:id
="
echoid-s3743
"
xml:space
="
preserve
">Sed ſi in ſeptentrionali exti
<
lb
/>
terit, accipe cõtrariũ eius, puta gradũ eclypticæ occidentem eo temporis momẽto in par
<
lb
/>
te occidentis, & </
s
>
<
s
xml:id
="
echoid-s3744
"
xml:space
="
preserve
">adde arcũ quotientis, ſic´ ꝓueniet gradus ille ꝗ mediat cœlũ. </
s
>
<
s
xml:id
="
echoid-s3745
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s3746
"
xml:space
="
preserve
">? Ex-
<
lb
/>
emplo adiũcto rem plenius intelliges. </
s
>
<
s
xml:id
="
echoid-s3747
"
xml:space
="
preserve
">In ipſa intronizatiõis hora fuit in aſcendente 5.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3748
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-0056-08
"
xlink:href
="
note-0056-08a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
Epiſcopi.</
note
>
gra. </
s
>
<
s
xml:id
="
echoid-s3749
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s3750
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3751
"
xml:space
="
preserve
">♌, amplitudo eius eſt 29. </
s
>
<
s
xml:id
="
echoid-s3752
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3753
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s3754
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3755
"
xml:space
="
preserve
">ſinũ eius 48563. </
s
>
<
s
xml:id
="
echoid-s3756
"
xml:space
="
preserve
">duco in ſinũ anguli ecly-
<
lb
/>
pticæ & </
s
>
<
s
xml:id
="
echoid-s3757
"
xml:space
="
preserve
">horizõtis, ſiquidẽ intronizatio illa facta eſt in latitudine 48. </
s
>
<
s
xml:id
="
echoid-s3758
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3759
"
xml:space
="
preserve
">angulus autẽ
<
lb
/>
erit 52. </
s
>
<
s
xml:id
="
echoid-s3760
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3761
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s3762
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3763
"
xml:space
="
preserve
">ſinus eius 79175. </
s
>
<
s
xml:id
="
echoid-s3764
"
xml:space
="
preserve
">productum ſi diuicã in totũ, proueniẽt in quotiẽte
<
lb
/>
38449 arcũ iplſius. </
s
>
<
s
xml:id
="
echoid-s3765
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s3766
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s3767
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3768
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s3769
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3770
"
xml:space
="
preserve
">ſubtraho à 90. </
s
>
<
s
xml:id
="
echoid-s3771
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3772
"
xml:space
="
preserve
">remanẽt 67. </
s
>
<
s
xml:id
="
echoid-s3773
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3774
"
xml:space
="
preserve
">23. </
s
>
<
s
xml:id
="
echoid-s3775
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3776
"
xml:space
="
preserve
">ſinum ipſius
<
lb
/>
92309. </
s
>
<
s
xml:id
="
echoid-s3777
"
xml:space
="
preserve
">tã̈ maiorẽ adſeruo ꝓ diuiſore, deinde adſumo ſinũ cõplemẽti amplitudinis, q̊d
<
lb
/>
ſanè ſuit 60. </
s
>
<
s
xml:id
="
echoid-s3778
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3779
"
xml:space
="
preserve
">56. </
s
>
<
s
xml:id
="
echoid-s3780
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3781
"
xml:space
="
preserve
">ſed ſinũ eius 87405. </
s
>
<
s
xml:id
="
echoid-s3782
"
xml:space
="
preserve
">duco in ſinũ totũ, ꝓductũ diuido in diuiſorẽ
<
lb
/>
iam ſeruatũ, quotiens dat 94687. </
s
>
<
s
xml:id
="
echoid-s3783
"
xml:space
="
preserve
">arcus illius eſt 71. </
s
>
<
s
xml:id
="
echoid-s3784
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3785
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s3786
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3787
"
xml:space
="
preserve
">tot gra. </
s
>
<
s
xml:id
="
echoid-s3788
"
xml:space
="
preserve
">dehinc addo ad
<
lb
/>
gradũ occidentis. </
s
>
<
s
xml:id
="
echoid-s3789
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s3790
"
xml:space
="
preserve
">5. </
s
>
<
s
xml:id
="
echoid-s3791
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3792
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s3793
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3794
"
xml:space
="
preserve
">♒ eò ꝙ aſcendens eſt ſignũ ſeptentrionale, & </
s
>
<
s
xml:id
="
echoid-s3795
"
xml:space
="
preserve
">arcus hic
<
lb
/>
attingit 16. </
s
>
<
s
xml:id
="
echoid-s3796
"
xml:space
="
preserve
">gra 40. </
s
>
<
s
xml:id
="
echoid-s3797
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3798
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s3799
"
xml:space
="
preserve
">?, medium ipſum cœli quod hactenus diligenter inquiſiuimus.</
s
>
<
s
xml:id
="
echoid-s3800
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>