Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM.
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eclypticæ noſſe deſideras, fuerit in ſigno aliquo deſcendente, tunc addes angulum cõmu
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nem ad angulum, quem facit idem illud punctum in medio cœli cum eclyptica & </
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ridiano, ſumma ea à ſemicirculo ſubtracta, remanebit tibi angulus cauſſatus ab eclypti-
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ca iuxta punctum propoſitum cum horizonte. </
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circulo eclypticæ aſcendente, tũc ſubtrahe angulum cõmunem ab angulo meridian, & </
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remanebit angulus eclypticæ & </
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<
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PLVM
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emplum ſit hoc tibi, ex 30. </
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nis fuiſſe in aſcendente 5. </
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<
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<
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<
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aũt 71. </
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<
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menti maximæ declinationis 91706. </
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<
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ctum diuido in 94570: </
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75. </
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<
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<
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</
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(ſiquidem is eſt minor) in ſinũ totũ, & </
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<
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cti, ꝓpoſiti 94578. </
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<
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<
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munis, & </
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<
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cõmunem addo ad angulũ medij cœli 75. </
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<
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<
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bus à ſemicirculo ſubtractis, remanent 52. </
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<
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pticæ, quando 5. </
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<
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<
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<
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</
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<
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cere uideatur, ſi forte punctũ eclypticæ in horizonte conſtitutum fuerit in ſemicirculo e-
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clypticæ aſcendente, hoc eſt à principio ♑ ad finem II, ego´ cupiam habere angulum
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eclypticæ & </
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<
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<
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<
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ſub ipſum Solis ortũ effecit (& </
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ibi principio per 26. </
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<
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<
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<
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fuit iuxta gradum Solis, illum inquam inueni 78. </
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<
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li 48. </
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<
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<
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<
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plementi declinationis Solis, ſcilicet 93544. </
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<
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</
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<
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">angulus ille communis, quem mox ſubtraho ab angulo medij cœli, & </
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bunt pro angulo orientis eclypticæ & </
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<
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<
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">Quantitatem anguli ab horizonte & </
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<
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quirere, habito tantum prius medij cœli gradu.</
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<
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<
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">Quum primũ habueris medij cœli gradũ, ſtatim quære per aliquã propoſitionum 26.
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</
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<
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<
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">uel 28. </
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<
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">angulũ quem facit eclyptica cum meridiano, deinde duc ſinũ anguli illius in ſi
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<
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<
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<
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num diſtantiæ zenith à gradu medij cœli, productũ diuide in totum, & </
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<
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quotientis erit angulus eclypticæ & </
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<
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xml:space
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">horizontis, qualiſcun tandem fuerit in aſcenden-
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te gradus. </
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<
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<
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">? Id adeo tali confirmabimus exemplo. </
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<
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xml:id
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xml:space
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">ꝓpono ecce mihi gradũ medij cœli
<
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<
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="
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xlink:label
="
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PLVM
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<
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style
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<
unsure
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pi.</
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>
</
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15. </
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<
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<
s
xml:id
="
echoid-s2679
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s2680
"
xml:space
="
preserve
">♈, quẽ iam ſupra pronunciato 26. </
s
>
<
s
xml:id
="
echoid-s2681
"
xml:space
="
preserve
">ad horã intronizationis inueni in medio
<
lb
/>
cœli, & </
s
>
<
s
xml:id
="
echoid-s2682
"
xml:space
="
preserve
">per tres illas propoſitiones per 26. </
s
>
<
s
xml:id
="
echoid-s2683
"
xml:space
="
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">27. </
s
>
<
s
xml:id
="
echoid-s2684
"
xml:space
="
preserve
">ſiue 28. </
s
>
<
s
xml:id
="
echoid-s2685
"
xml:space
="
preserve
">reperi etiam angulum meridiani
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s2686
"
xml:space
="
preserve
">eclypticæ ad idem illud momentum 67. </
s
>
<
s
xml:id
="
echoid-s2687
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s2688
"
xml:space
="
preserve
">23. </
s
>
<
s
xml:id
="
echoid-s2689
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2690
"
xml:space
="
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">ſinus ipſius eſt 92309. </
s
>
<
s
xml:id
="
echoid-s2691
"
xml:space
="
preserve
">eum ſi du-
<
lb
/>
cam in ſinum diſtantiæ zenith à medio cœli, quæ eſt 41. </
s
>
<
s
xml:id
="
echoid-s2692
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2693
"
xml:space
="
preserve
">26. </
s
>
<
s
xml:id
="
echoid-s2694
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s2695
"
xml:space
="
preserve
">ſcilicet 66 174. </
s
>
<
s
xml:id
="
echoid-s2696
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s2697
"
xml:space
="
preserve
">di-
<
lb
/>
uidam productum in ſinum perfectum, inueniam in quotiente 61084. </
s
>
<
s
xml:id
="
echoid-s2698
"
xml:space
="
preserve
">complementum
<
lb
/>
eius arcus oſtendit quantitatem anguli quem facit eclyptica cum horizonte in parte ori
<
lb
/>
entis & </
s
>
<
s
xml:id
="
echoid-s2699
"
xml:space
="
preserve
">occidentis, ſunt´ gradus 25. </
s
>
<
s
xml:id
="
echoid-s2700
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2701
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s2702
"
xml:space
="
preserve
">in quibus quærendis laboratum eſt.</
s
>
<
s
xml:id
="
echoid-s2703
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div81
"
type
="
section
"
level
="
1
"
n
="
45
">
<
head
xml:id
="
echoid-head49
"
xml:space
="
preserve
">PRONVNCIATVM XXXIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2704
"
xml:space
="
preserve
">Angulum occidentis, quem eclyptica cum horizonte efficit in parte occi-
<
lb
/>
dua, prompte & </
s
>
<
s
xml:id
="
echoid-s2705
"
xml:space
="
preserve
">facile inueſtigare.</
s
>
<
s
xml:id
="
echoid-s2706
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2707
"
xml:space
="
preserve
">Operæpreciũ nõ eſt hoc ꝓnunciatũ multis explicare, quũ ſuperiori 31. </
s
>
<
s
xml:id
="
echoid-s2708
"
xml:space
="
preserve
">planê ſimilis
<
lb
/>
fit, niſi q̊d hic addẽdũ eſt, ubi illic ſubtractũ, & </
s
>
<
s
xml:id
="
echoid-s2709
"
xml:space
="
preserve
">uiciſsim ſubtrahẽdũ, ubi additũ eſt illic, qñ
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0047-07
"
xlink:href
="
note-0047-07a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
<
emph
style
="
it
">Epiſoo
<
unsure
/>
pi.</
emph
>
</
note
>
angulũ horizõtis et eclypticæ quærebas, ſicuti ſequens monſtrabit exemplũ. </
s
>
<
s
xml:id
="
echoid-s2710
"
xml:space
="
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">?</
s
>
<
s
xml:id
="
echoid-s2711
"
xml:space
="
preserve
">? Cupio
<
lb
/>
ſcire angulũ quẽ facit eclyptica in 5. </
s
>
<
s
xml:id
="
echoid-s2712
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2713
"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s2714
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2715
"
xml:space
="
preserve
">♌, cum horizonte occiduo, ex 31. </
s
>
<
s
xml:id
="
echoid-s2716
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>