Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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li, minorem duc in totum, ꝓductũ diuide in maiorem, & </
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ad reſiduũ adde declinationẽ ☉(sun), ſi Borealis fuerit, uel ſubtrahe, ſi extiterit meridionalis,
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reſiduũ uel ꝓductũ illud, ſi quadrante minus fuerit, oſtendet inuentũ ſecundũ: </
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<
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ſubtrahendũ erit à 90. </
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<
s
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xml:space
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<
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uentum propone tibi, & </
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<
s
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">alterius ſinũ itidem duc in ſinũ alterius, productũ diuide in ſinũ
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totũ, & </
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<
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<
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PLVM
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pi.</
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lud per q̊d operationem hãc ſemꝑ hactenus abſolui, id´ eo maxime, ut uideas tam diuer
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ſas uias in eundem ſemper tendere finẽ. </
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<
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<
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<
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<
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uero iam ſcire cupio altitudinẽ Solis ſupra horizontẽ hora 9. </
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<
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tio facta eſt, diſtãtia ꝗdem eſt 45. </
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poli 42. </
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<
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<
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">iã ſi alte℞ in alterum ducã, ꝓductũ in totũ diuidã, prouenient in q̊
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tiente 473 14. </
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<
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nu altitudinis poli 48. </
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<
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<
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<
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ti primi, & </
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<
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">& </
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<
s
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mi. </
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<
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">inuentũ illud ſecundũ, cuius ſinus eſt 80055. </
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<
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tremum quũ iam ſinum alterius inuenti duxeris in alterũ, productũ quo in ſinũ totum
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diuiſeris, prouenient in quotiente 70530. </
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<
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<
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Solis ad ipſum momentũ intronizationis, quã nunc quinta ratione adinueni. </
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ſtantia Solis data hora maior fuerit ̈ 90, tunc ſubtrahe eam à ſemicirculo, & </
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num duc in ſinum cõplementi altitudinis poli, & </
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<
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ex quadrante, reſiduũ dicetur inuentũ primũ. </
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<
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ſinũ altitudinis poli, minorẽ duc in ſinũ totũ, productũ diuide in maiorẽ, de arcu quotien-
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tis ſubtrahe complementũ declinationis, & </
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<
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<
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ſi ſinum primi ducas in ſinum inuenti ſecundi, & </
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<
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ſtrabit altitudinem quæſitã. </
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<
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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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</
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ſupra horizontem adhorã quintã ante meridianã ipſo die intronizationis, ideo´ gradũ
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& </
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<
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<
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ſubtraho à ſemicirculo & </
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<
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<
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<
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in ſinũ cõplementi altitudinis poli, ſcilicet 66913. </
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<
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ent in quotiente 64632. </
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<
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<
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<
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<
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nent 49. </
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<
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<
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<
s
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ſimiliter & </
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<
s
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">eum tanquam minorẽ duco in ſinũ totũ, & </
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>
<
s
xml:id
="
echoid-s3179
"
xml:space
="
preserve
">in ſi
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0051-13
"
xlink:href
="
note-0051-13a
"
xml:space
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">
<
emph
style
="
it
">Lateralis</
emph
>
<
lb
/>
<
emph
style
="
it
">ingreſſus</
emph
>
.</
note
>
num primi inuenti diuido, unde ꝓdeunt in quotiente 97272. </
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>
<
s
xml:id
="
echoid-s3180
"
xml:space
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preserve
">arcus illius quotientis eſt
<
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/>
76. </
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>
<
s
xml:id
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echoid-s3181
"
xml:space
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">gra. </
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>
<
s
xml:id
="
echoid-s3182
"
xml:space
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">35. </
s
>
<
s
xml:id
="
echoid-s3183
"
xml:space
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">mi. </
s
>
<
s
xml:id
="
echoid-s3184
"
xml:space
="
preserve
">hinc ſnbtraho complementũ declinationis Solis, ſcilicet 69. </
s
>
<
s
xml:id
="
echoid-s3185
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s3186
"
xml:space
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">18. </
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>
<
s
xml:id
="
echoid-s3187
"
xml:space
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">mi. </
s
>
<
s
xml:id
="
echoid-s3188
"
xml:space
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preserve
">& </
s
>
<
s
xml:id
="
echoid-s3189
"
xml:space
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">
<
lb
/>
manent in reſiduo gra. </
s
>
<
s
xml:id
="
echoid-s3190
"
xml:space
="
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">7. </
s
>
<
s
xml:id
="
echoid-s3191
"
xml:space
="
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">mi. </
s
>
<
s
xml:id
="
echoid-s3192
"
xml:space
="
preserve
">17. </
s
>
<
s
xml:id
="
echoid-s3193
"
xml:space
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preserve
">inuentũ ſecũdũ. </
s
>
<
s
xml:id
="
echoid-s3194
"
xml:space
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preserve
">Iam ita utriuſ inuenti ſinus ſcilicet
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0051-14
"
xlink:href
="
note-0051-14a
"
xml:space
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">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">ſecundum</
emph
>
.</
note
>
76398. </
s
>
<
s
xml:id
="
echoid-s3195
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3196
"
xml:space
="
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">12677. </
s
>
<
s
xml:id
="
echoid-s3197
"
xml:space
="
preserve
">inter ſe multiplico, & </
s
>
<
s
xml:id
="
echoid-s3198
"
xml:space
="
preserve
">quotientẽ in totum diuido, at hinc ꝓuenient in
<
lb
/>
quotiẽte 9685. </
s
>
<
s
xml:id
="
echoid-s3199
"
xml:space
="
preserve
">arcus eſt 5. </
s
>
<
s
xml:id
="
echoid-s3200
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3201
"
xml:space
="
preserve
">33. </
s
>
<
s
xml:id
="
echoid-s3202
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3203
"
xml:space
="
preserve
">altitudo nimi℞ Solis quæſita ad horã 5. </
s
>
<
s
xml:id
="
echoid-s3204
"
xml:space
="
preserve
">antemeri-
<
lb
/>
dianã in ipſo die intronizationis. </
s
>
<
s
xml:id
="
echoid-s3205
"
xml:space
="
preserve
">Fit aliquãdo ut inuentũ ſecundũ præciſe ſit 90. </
s
>
<
s
xml:id
="
echoid-s3206
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3207
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3208
"
xml:space
="
preserve
">
<
lb
/>
tũc inuentũ illud ꝑ ſe erit altitudo Solis quæſita, ne ulla ulteriori indiget ſupputatiõe.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3209
"
xml:space
="
preserve
">Inſuper & </
s
>
<
s
xml:id
="
echoid-s3210
"
xml:space
="
preserve
">hoc ſcitu neceſſariũ eſt, ꝙ quũ ☉(sun) eſt in principio ♈ uel ♎, tunc multiplicare
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0051-15
"
xlink:href
="
note-0051-15a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Lateraliter</
emph
>
<
lb
/>
<
emph
style
="
it
">ſimile per</
emph
>
<
lb
/>
<
emph
style
="
it
">quadrantë</
emph
>
<
lb
/>
<
emph
style
="
it
">reperies.</
emph
>
</
note
>
debes ſinus utriuſ cõplemẽti, diſtãtiæ ſcilicet Solis à meridie & </
s
>
<
s
xml:id
="
echoid-s3211
"
xml:space
="
preserve
">altitudinis poli, produ-
<
lb
/>
ctum uero diuides in ſinũ totum, & </
s
>
<
s
xml:id
="
echoid-s3212
"
xml:space
="
preserve
">ſic arcus quotiẽtis ſtatim tibi mõſtrabit altitudinem
<
lb
/>
Solis quã quærebas. </
s
>
<
s
xml:id
="
echoid-s3213
"
xml:space
="
preserve
">Præterea quæcun hic te ꝑ Solem docuimus inuenire, puta arcum
<
lb
/>
diurnum, altitudinẽ ab horizõte, & </
s
>
<
s
xml:id
="
echoid-s3214
"
xml:space
="
preserve
">id genus ſimilia plura, intelliges etiam de ſtellis, ita
<
lb
/>
ꝙ quæ de eclyptica tradidimus, in reliquorũ etiã ſyderum motibus uſum ſuum retineãt.</
s
>
<
s
xml:id
="
echoid-s3215
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div93
"
type
="
section
"
level
="
1
"
n
="
51
">
<
head
xml:id
="
echoid-head55
"
xml:space
="
preserve
">PRONVNCIATVM XXXIX.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3216
"
xml:space
="
preserve
">Diſtantiam Solis ante meridiem per circulum magnum ab ipſo puncto
<
lb
/>
interſectionis æ quatoris & </
s
>
<
s
xml:id
="
echoid-s3217
"
xml:space
="
preserve
">horizontis ſolerte inueſtigare.</
s
>
<
s
xml:id
="
echoid-s3218
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3219
"
xml:space
="
preserve
">Si quãdo arcum illũ ex ſphærica ratione inuenire cupis, primũ multiplica ſinum cõple
<
lb
/>
menti declinationis Solis cum ſinu diſtantiæ Solis à meridiano (qñ diſtantia illa in </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
