Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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uenient in quotiente 66145. </
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<
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<
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manent 48. </
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<
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<
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<
s
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xml:space
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">quæ diſtantia eſt Solis ab ortu æquatoris, eam repono in locum
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ſingularem, & </
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<
s
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<
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nationis Solis, qui quia minor eſt, duco eum in ſinum totum, productum diuido in maio-
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rem, & </
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<
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<
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<
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xml:space
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eſt in ſigno ſeptentrionali, addo eum ad complementum altitudinis poli, ſcilicet 42. </
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<
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<
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<
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<
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<
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ſi ducam in ſinum diſtantiæ Solis ab ortu æquinoctialis, ſcilicet 74991. </
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<
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dam in ſinum totum, prodibunt in quotiente 70528. </
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<
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<
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<
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<
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<
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do Solis quæſita, & </
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<
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<
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<
s
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cun eleuatione poli depræhendere.</
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<
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<
s
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">Hic propones primo tibi diſtantiam medij cœli ab ortu uel occaſu, utrolibet tandem
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<
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propius acceſſerit, deinde & </
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horizonte, qui attingit medium cœli, minorem ex ijs duces in ſinum totum, productum
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diuides in maiorem, & </
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<
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& </
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<
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">arcus quotientis monſtrabit tibi altitudinem Solis optatam. </
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<
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<
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<
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um ♋ uel ♑ obtinuerit medium cœli, propones tibi utrũ ſuum altitudinis meridianæ
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& </
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<
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diuides in maiorem, tunc arcus quotientis oſtendet altitudinem quæſitam. </
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<
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am eſt, quod primus quotiens deſignat angulum, quem facit horizon cum eclyptica in
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PLVM
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<
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eo ipſo momento. </
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<
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<
s
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">? Exemplum hic quo accipe tale, ſi cupiam rurſus ſcire altitudi-
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nem Solis ad horam intronizationis 9. </
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<
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2. </
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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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totũ, ꝓductum diuido in ſinum diſtantiæ grad. </
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<
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ut antea diximus, eſt 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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ti ̈ ortui, diſtãtia eius eſt 71. </
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<
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<
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<
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<
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<
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prouenient in quotiente 79182. </
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<
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<
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tientem iſtum duco rurſus in ſinũ diſtantiæ gradus Solis ab aſcendente, quæ eſt 62. </
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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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xml:space
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<
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unt 70540. </
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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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xml:space
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<
s
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xml:space
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">Etiamnum alia ratione altitudinem illam Solis ſupra horizontem ubiuis
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locorum pulchre & </
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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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xml:space
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">Modus hic etſi ſuperioribus aliquãto prolixior eſt, attamen cum ipſa longitudine ſi-
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mul multã ſecũ iucunditatẽ affert, ſic aũt habet. </
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>
<
s
xml:id
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xml:space
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diſtat præciſe gradibus 90. </
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>
<
s
xml:id
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<
s
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<
s
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</
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<
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<
s
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">uel 5. </
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>
<
s
xml:id
="
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xml:space
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">cupias ſcire altitudinẽ, uel deni nõ tantũ diſtat à meridiano, ut per-
<
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tingat uſ in 90. </
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<
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>
<
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">& </
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<
s
xml:id
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<
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<
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">& </
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<
s
xml:id
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<
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6. </
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<
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">pomeridianã. </
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<
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xml:id
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xml:space
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>
<
s
xml:id
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">cupis ſcire altitudinẽ ante uel poſt meridiem,
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quia horæ 6. </
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<
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<
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<
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>
<
s
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">occaſu, quoniam ea-
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<
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<
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>
<
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<
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style
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">hæc docet.</
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>
</
note
>
rum unaquæ poteſt 90. </
s
>
<
s
xml:id
="
echoid-s3061
"
xml:space
="
preserve
">gradibus à meridie diſtare, tunc ita ſi altitudinem ſcire cupis,
<
lb
/>
duc ſinũ eleuationis poli in ſinũ declinationis ☉(sun), & </
s
>
<
s
xml:id
="
echoid-s3062
"
xml:space
="
preserve
">diuide productũ in ſinũ totũ, arcus q̊-
<
lb
/>
tientis mõſtrabit altitudinẽ ☉(sun) ad eã horam. </
s
>
<
s
xml:id
="
echoid-s3063
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s3064
"
xml:space
="
preserve
">? Vis exemplũ? </
s
>
<
s
xml:id
="
echoid-s3065
"
xml:space
="
preserve
">en tibi dabimus huiuſmo
<
lb
/>
di. </
s
>
<
s
xml:id
="
echoid-s3066
"
xml:space
="
preserve
">Cupio ſcire altitudinem Solis ſupra horizontẽ in die intronizationis ante meridiem,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0050-05
"
xlink:href
="
note-0050-05a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
<
emph
style
="
it
">Epiſoo
<
unsure
/>
pi.</
emph
>
</
note
>
qñ declinatio ☉(sun) fuit 20. </
s
>
<
s
xml:id
="
echoid-s3067
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3068
"
xml:space
="
preserve
">42. </
s
>
<
s
xml:id
="
echoid-s3069
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3070
"
xml:space
="
preserve
">ſinũ eius 35342. </
s
>
<
s
xml:id
="
echoid-s3071
"
xml:space
="
preserve
">duco in ſinũ 48. </
s
>
<
s
xml:id
="
echoid-s3072
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3073
"
xml:space
="
preserve
">eleuationis poli
<
lb
/>
74314. </
s
>
<
s
xml:id
="
echoid-s3074
"
xml:space
="
preserve
">productũ diuido in ſinũ totũ, & </
s
>
<
s
xml:id
="
echoid-s3075
"
xml:space
="
preserve
">quotiens erit 26267. </
s
>
<
s
xml:id
="
echoid-s3076
"
xml:space
="
preserve
">arcus 15. </
s
>
<
s
xml:id
="
echoid-s3077
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s3078
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s3079
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s3080
"
xml:space
="
preserve
">altitu-
<
lb
/>
dinem deſignat quæſitã horæ 6. </
s
>
<
s
xml:id
="
echoid-s3081
"
xml:space
="
preserve
">ante & </
s
>
<
s
xml:id
="
echoid-s3082
"
xml:space
="
preserve
">poſt meridiem. </
s
>
<
s
xml:id
="
echoid-s3083
"
xml:space
="
preserve
">Porrò ſi diſtantia Solis à meridia-
<
lb
/>
no quadrante fuerit minor, tunc ducito ſinũ huius diſtantiæ in ſinum cõplementialtitudi
<
lb
/>
nis poli, & </
s
>
<
s
xml:id
="
echoid-s3084
"
xml:space
="
preserve
">hinc diuide per ſinũ totũ, arcus quotientis ex quadra circuli demptus, relinquet
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0050-06
"
xlink:href
="
note-0050-06a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">primum-</
emph
>
</
note
>
inuentum primum. </
s
>
<
s
xml:id
="
echoid-s3085
"
xml:space
="
preserve
">Mox eius inuenti tibi propone ſinũ, ſimiliter & </
s
>
<
s
xml:id
="
echoid-s3086
"
xml:space
="
preserve
">ſinum altitudinis </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
