Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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pronunciato iam inueni angulum, quem iuxta prædictũ gradum eclyptica cũ meridia-
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no efficit, is autem eſt 75. </
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nis poli 48. </
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menti declinationis 5. </
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<
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<
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eſt 31. </
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<
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& </
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traho ab angulo meridiani & </
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gulus ſcilicet eclypticæ & </
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PLVM
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ſumptum ex medietate ſignorũ aſcendentiũ? </
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<
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<
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fuit ipſo die intronizationis, iam autem inquirere cupio quantitatẽ anguli, quẽ facit ecly
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ptica iuxta gradum illum cũ horizonte occidentali, per 26. </
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cum meridiano, qui erat 78. </
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quidẽ adſumo ſinum altitudinis poli 48. </
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tionis gradus Solis, ſcilicet 93544. </
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diuido in ſinũ alterũ, tunc quotiens producet 79442. </
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<
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nè angulus eſt communis, quem ſi addam ad angulum meridiani & </
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tunc 131. </
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<
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dibus illis à ſemicirculo ſubtractis, remanent 48. </
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& </
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<
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terrarum orbe ex ſolerti quadam ſupputatione colligere.</
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ſidui quære ſinũ rectũ, deinde etiã ſinũ rectũ differentiæ aſcenſionalis ex pronunciato 15.
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<
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in hunc modum, ultimo loco, primo aũt ſinũ totũ, & </
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<
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nis, ſi ergo ſecundũ operationẽ regulæ quotientẽ addas ad ſinũ cõplementi declinatiõis,
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habebis tunc ſinũ huius operationis. </
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<
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quamcũ cupis ſcire Solis altitudinẽ, horã illã aut horas (ſi modo plures fuerint) redige
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in gradus, quo℞ ſemꝑ 15. </
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<
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<
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dui ſinũ quære rectũ, ipſum´ ſubtrahe à ſinu toto, reſiduũ uocabit̃ ſinus uerſus horarũ,
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eũ ſinũ uerſum cõpone in regulã ꝓportionũ tertio loco, primo aũt ſinũ totũ, & </
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<
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ſinũ cõplemẽti declinationis Solis, operatiõe illa ad præſcriptũ regulæ perfecta, ſubtra-
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he q̊tientẽ à ſinu huius operatiõis toto, & </
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<
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mo aũt ſinũ totũ, & </
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<
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ne prouenerit, ſinus eſt altitudinis Solis ad horã ꝓpoſitã. </
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<
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hi, ꝙ operatio talis, ſicut à nobis deſcripta hactenus eſt, ueritatem quidẽ obtinet, ſed Sole
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exiſtente in ſignis ſeptẽtrionalibus, qui ſi forſitan in meridionalibus fuerit, tũc ſubtrahen
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dus à ſinu cõplementi declinatiõis, eſt ſinus differentiæ aſcenſionalis, cõuerſus iam per re
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gulã ꝓportionũ, & </
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<
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<
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PLVM
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<
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pi.</
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intelligas cõmodius, en exemplũ tibi ꝓponimus huiuſmodi. </
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<
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☉(sun) ad ipſam horã intronizationis, q̊ fuit Sol, ſicuti ſæpe diximus, in 2. </
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<
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<
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nationẽ eius inueni ꝓnunciato 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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<
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">eſt, qui numerus in hac ſupputatione, ꝗa frequẽtiſsime uſurpa
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/>
tur, ideo etiã creditur eſſe oĩm ꝑfectiſsimus. </
s
>
<
s
xml:id
="
echoid-s2822
"
xml:space
="
preserve
">Deinde per 15. </
s
>
<
s
xml:id
="
echoid-s2823
"
xml:space
="
preserve
">ꝓnunciatũ adinueni differen
<
lb
/>
tiã aſcenſionalẽ 24. </
s
>
<
s
xml:id
="
echoid-s2824
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2825
"
xml:space
="
preserve
">49. </
s
>
<
s
xml:id
="
echoid-s2826
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2827
"
xml:space
="
preserve
">ſinũ quo eius 41971. </
s
>
<
s
xml:id
="
echoid-s2828
"
xml:space
="
preserve
">cõuerto, ita, ut uter fiat æqualis
<
lb
/>
ſinui cõplementi declinationis, quia locũ gerũt totius cuiuſdã ſinus. </
s
>
<
s
xml:id
="
echoid-s2829
"
xml:space
="
preserve
">Pono ergo 100000. </
s
>
<
s
xml:id
="
echoid-s2830
"
xml:space
="
preserve
">
<
lb
/>
in primũ locum, deinde ſinum cõplementi declinationis Solis, ſcilicet 93544. </
s
>
<
s
xml:id
="
echoid-s2831
"
xml:space
="
preserve
">poſtremò
<
lb
/>
ſinum huius differentiæ 41971. </
s
>
<
s
xml:id
="
echoid-s2832
"
xml:space
="
preserve
">hinc operor multiplicando & </
s
>
<
s
xml:id
="
echoid-s2833
"
xml:space
="
preserve
">diuidendo iuxta regulam
<
lb
/>
ꝓportionũ, & </
s
>
<
s
xml:id
="
echoid-s2834
"
xml:space
="
preserve
">inuenio in q̊tiente 39261. </
s
>
<
s
xml:id
="
echoid-s2835
"
xml:space
="
preserve
">ea addo(quando quidẽ ſignũ ☉(sun) eſt in medieta-
<
lb
/>
te ſeptẽtrionali) ad ſinũ cõplemẽti declinatiõis Solis, & </
s
>
<
s
xml:id
="
echoid-s2836
"
xml:space
="
preserve
">ꝓueniet talis ſumma 132805. </
s
>
<
s
xml:id
="
echoid-s2837
"
xml:space
="
preserve
">ſi-
<
lb
/>
nus. </
s
>
<
s
xml:id
="
echoid-s2838
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s2839
"
xml:space
="
preserve
">perfectus huius operationis. </
s
>
<
s
xml:id
="
echoid-s2840
"
xml:space
="
preserve
">Adhuc deinceps ex 3. </
s
>
<
s
xml:id
="
echoid-s2841
"
xml:space
="
preserve
">horis feci gradus 45. </
s
>
<
s
xml:id
="
echoid-s2842
"
xml:space
="
preserve
">eas </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>