Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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eclypticæ & </
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rem, ſimiliter quomodo angulum eclypticæ & </
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periſti. </
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<
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inueniſti. </
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<
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<
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& </
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<
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<
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das in ſinum totũ, quotientis uero arcũ ſubtrahas à 90. </
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<
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tam reſidui huius ſinum, minorẽ poſtremò ex his duobus ducas in totũ, ꝓductũ diuidas
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in maiorem, tunc ſanè arcus quotientis portionem tibi præſtabit circuli horarij inter cor
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pus ſolare & </
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<
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ferentiæ angulorũ, quo prius etiam ſinum cõplementi altitudinis Solis multiplica ueras,
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productũ uero diuidas in ſinũ totũ, arcus quotientis oſtendet tibi diſtantiã conta ctus ho
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rizontis & </
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let. </
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<
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ueniſti, facile deinde colliges hinc ipſearcum horizontis inter meridianum & </
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<
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PLVM
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horarium interceptum. </
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tronizatiõis ornatiſsimi Præſulis Auguſtani, iam inueni, ſimiliter & </
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<
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pus reperi etiam angulũ eclypticæ & </
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<
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<
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<
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eclypticæ & </
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<
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</
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<
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<
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Solis .</
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<
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<
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arcus eſt 28. </
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<
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diuiſor 88116. </
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<
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70530. </
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<
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xml:space
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erit quotiens 80042. </
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<
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<
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<
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circulo horario ab horizonte. </
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<
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differentiæ angulorum .</
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">& </
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<
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ent 53419. </
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<
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<
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culi horarij & </
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<
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<
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bere 21. </
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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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">quæ diſtantia eſt huius pun-
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cti horizontis ab ortu æquinoctialis, quibus ſubtractis à 90. </
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<
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meridiano 36. </
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<
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<
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<
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<
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">quemadmodum & </
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<
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<
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<
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">Arcum horizontis, quem arcus horarius inter ſeipſum & </
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<
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includit, adhuc alia ea´ omnium facilima ratione perquirere.</
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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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">Age fac ducas hic ſinum diſtantiæ horariæ à meridie in ſinum cõplementi altitudinis
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<
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="
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xlink:label
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<
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/>
<
emph
style
="
it
">idem docẽt.</
emph
>
<
lb
/>
<
emph
style
="
it
">Illud ꝑ areã</
emph
>
<
lb
/>
<
emph
style
="
it
">diſœs.</
emph
>
</
note
>
poli, productũ diuide in ſinum totũ, arcũ autẽ quotientis ſubtrahe à 90. </
s
>
<
s
xml:id
="
echoid-s4006
"
xml:space
="
preserve
">ſinum cõplemen
<
lb
/>
ti huius ſiue reſidui tibi propone, unà cum ſinu cõplementi diſtantiæ horariæ à meridie,
<
lb
/>
minorem ducin totum, productum in maiorem diuide, & </
s
>
<
s
xml:id
="
echoid-s4007
"
xml:space
="
preserve
">cõplementiarcus quotientis
<
lb
/>
monſtrabit tibi arcum horizontis quæſitum. </
s
>
<
s
xml:id
="
echoid-s4008
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s4009
"
xml:space
="
preserve
">?Et ſi operatio hæcomniũ facilima eſt,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0058-06
"
xlink:href
="
note-0058-06a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
Epiſoo
<
unsure
/>
pi.</
note
>
tamen ne hic exemplũ tibi denegare poſſum, quia igitur ſub ipſam horam nonam in-
<
lb
/>
tronizationis horæ 3. </
s
>
<
s
xml:id
="
echoid-s4010
"
xml:space
="
preserve
">ſunt à meridie, quæ faciũt gra. </
s
>
<
s
xml:id
="
echoid-s4011
"
xml:space
="
preserve
">45. </
s
>
<
s
xml:id
="
echoid-s4012
"
xml:space
="
preserve
">ſinus erit 70710. </
s
>
<
s
xml:id
="
echoid-s4013
"
xml:space
="
preserve
">eum duco in ſi-
<
lb
/>
num cõplemẽti altitudinis poli 48. </
s
>
<
s
xml:id
="
echoid-s4014
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4015
"
xml:space
="
preserve
">hoceſt 42. </
s
>
<
s
xml:id
="
echoid-s4016
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4017
"
xml:space
="
preserve
">ſinus eius eſt 66913. </
s
>
<
s
xml:id
="
echoid-s4018
"
xml:space
="
preserve
">ꝓductũ diui
<
lb
/>
do in totum ſinũ, unde in quotiente ꝓueniunt 47314. </
s
>
<
s
xml:id
="
echoid-s4019
"
xml:space
="
preserve
">arcus eius eſt 28. </
s
>
<
s
xml:id
="
echoid-s4020
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4021
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s4022
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4023
"
xml:space
="
preserve
">ſinus
<
lb
/>
aũt cõplemẽti ipſius 88102. </
s
>
<
s
xml:id
="
echoid-s4024
"
xml:space
="
preserve
">hũc mihi propono, ſimul & </
s
>
<
s
xml:id
="
echoid-s4025
"
xml:space
="
preserve
">ſinũ cõplemẽti diſtantiæ horariæ
<
lb
/>
à meridie, hoc eſt 45. </
s
>
<
s
xml:id
="
echoid-s4026
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4027
"
xml:space
="
preserve
">ſinus eſt 70710. </
s
>
<
s
xml:id
="
echoid-s4028
"
xml:space
="
preserve
">hũc quia minorẽ duco in ſinũ totũ, productum
<
lb
/>
diuido in maiorem, & </
s
>
<
s
xml:id
="
echoid-s4029
"
xml:space
="
preserve
">prodibunt in quotiente 30259. </
s
>
<
s
xml:id
="
echoid-s4030
"
xml:space
="
preserve
">cuius arcus eſt 5. </
s
>
<
s
xml:id
="
echoid-s4031
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4032
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s4033
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4034
"
xml:space
="
preserve
">com-
<
lb
/>
plementum ipſius 36. </
s
>
<
s
xml:id
="
echoid-s4035
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4036
"
xml:space
="
preserve
">38. </
s
>
<
s
xml:id
="
echoid-s4037
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4038
"
xml:space
="
preserve
">ſicut in 52. </
s
>
<
s
xml:id
="
echoid-s4039
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4040
"
xml:space
="
preserve
">53. </
s
>
<
s
xml:id
="
echoid-s4041
"
xml:space
="
preserve
">pronunciatis inuentum eſt.</
s
>
<
s
xml:id
="
echoid-s4042
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div125
"
type
="
section
"
level
="
1
"
n
="
67
">
<
head
xml:id
="
echoid-head71
"
xml:space
="
preserve
">PRONVNCIATVM LV.</
head
>
<
p
>
<
s
xml:id
="
echoid-s4043
"
xml:space
="
preserve
">Arcum quo in circulo uerticali, inter circulum horarium & </
s
>
<
s
xml:id
="
echoid-s4044
"
xml:space
="
preserve
">meridianum
<
lb
/>
interceptum exacta & </
s
>
<
s
xml:id
="
echoid-s4045
"
xml:space
="
preserve
">diligenti ſupputatione indagare.</
s
>
<
s
xml:id
="
echoid-s4046
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4047
"
xml:space
="
preserve
">Proderit hic arc 9 circuli uerticalis ad diuiſionẽ hora℞ in aliq̊ plano uerticali, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
