Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 97
>
41
42
43
44
45
46
47
48
49
50
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 97
>
page
|<
<
of 97
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div65
"
type
="
section
"
level
="
1
"
n
="
37
">
<
p
>
<
s
xml:id
="
echoid-s2217
"
xml:space
="
preserve
">
<
pb
file
="
0044
"
n
="
44
"
rhead
="
GENVINVS VSVS
"/>
cupio inquirere gradum eclypticæ, qui cum eo aſcẽdit in ſphæra recta, propono mihi 15
<
lb
/>
gra. </
s
>
<
s
xml:id
="
echoid-s2218
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s2219
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2220
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2221
"
xml:space
="
preserve
">quæro cõ plementũ ipſius, ſcilicet 74. </
s
>
<
s
xml:id
="
echoid-s2222
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2223
"
xml:space
="
preserve
">39. </
s
>
<
s
xml:id
="
echoid-s2224
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2225
"
xml:space
="
preserve
">ſinum eius 96432. </
s
>
<
s
xml:id
="
echoid-s2226
"
xml:space
="
preserve
">duco
<
lb
/>
in ſinum maximæ declinationis Solis, ſcilicet 29874. </
s
>
<
s
xml:id
="
echoid-s2227
"
xml:space
="
preserve
">productum diuido in ſinum perfe-
<
lb
/>
ctum, & </
s
>
<
s
xml:id
="
echoid-s2228
"
xml:space
="
preserve
">proueniũt in quotiente 38451. </
s
>
<
s
xml:id
="
echoid-s2229
"
xml:space
="
preserve
">arcus eius eſt 22. </
s
>
<
s
xml:id
="
echoid-s2230
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2231
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s2232
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2233
"
xml:space
="
preserve
">Si iam adſumo com
<
lb
/>
plementũ ip ſius 67. </
s
>
<
s
xml:id
="
echoid-s2234
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2235
"
xml:space
="
preserve
">23. </
s
>
<
s
xml:id
="
echoid-s2236
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2237
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2238
"
xml:space
="
preserve
">propono itidem mihi ſinum ipſius 92309. </
s
>
<
s
xml:id
="
echoid-s2239
"
xml:space
="
preserve
">ſimiliter eti-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0044-01
"
xlink:href
="
note-0044-01a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Operatio</
emph
>
<
lb
/>
<
emph
style
="
it
">lateralis.</
emph
>
</
note
>
am ſinũ 15. </
s
>
<
s
xml:id
="
echoid-s2240
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2241
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s2242
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2243
"
xml:space
="
preserve
">ſcilicet 26471. </
s
>
<
s
xml:id
="
echoid-s2244
"
xml:space
="
preserve
">utrũ eorũ tan̈ minorem duxero in ſinum totum,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s2245
"
xml:space
="
preserve
">per maiorem 92309. </
s
>
<
s
xml:id
="
echoid-s2246
"
xml:space
="
preserve
">diuiſero, proueniũt in quotiente 28676. </
s
>
<
s
xml:id
="
echoid-s2247
"
xml:space
="
preserve
">arcus eius eſt 16. </
s
>
<
s
xml:id
="
echoid-s2248
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2249
"
xml:space
="
preserve
">40
<
lb
/>
mi. </
s
>
<
s
xml:id
="
echoid-s2250
"
xml:space
="
preserve
">qui arcus eſt eclypticæ, numeratus à proxima interſectione eclypticæ & </
s
>
<
s
xml:id
="
echoid-s2251
"
xml:space
="
preserve
">æquidialis,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0044-02
"
xlink:href
="
note-0044-02a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Operatio</
emph
>
<
lb
/>
<
emph
style
="
it
">arcalis.</
emph
>
</
note
>
eſt´ ille gradus 16. </
s
>
<
s
xml:id
="
echoid-s2252
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2253
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s2254
"
xml:space
="
preserve
">♈. </
s
>
<
s
xml:id
="
echoid-s2255
"
xml:space
="
preserve
">at ipſa intronizationis hora ſuit in medio cœli.</
s
>
<
s
xml:id
="
echoid-s2256
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div67
"
type
="
section
"
level
="
1
"
n
="
38
">
<
head
xml:id
="
echoid-head42
"
xml:space
="
preserve
">PRONVNCIATVM XXVI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2257
"
xml:space
="
preserve
">Quatuor illos angulos, quos eclyptica cauſſat cum meridiano, ad unum-
<
lb
/>
quod punctum, quo eclyptica meridianum tangit, artificioſe cognoſcere.</
s
>
<
s
xml:id
="
echoid-s2258
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2259
"
xml:space
="
preserve
">Operæprecium hic principio fuerit præſcire te, quod hic ex 4 iſtis angulis unicũ tantũ
<
lb
/>
te inuenire docebimus, quo cognito reliqui tres per ſe patent ex ſubtractione, ne plu-
<
lb
/>
res uno hic te indagare neceſſe eſt. </
s
>
<
s
xml:id
="
echoid-s2260
"
xml:space
="
preserve
">Deinde ſcias per hãc operationẽ in prima quarta Zo
<
lb
/>
diaci à principio ♈, uſ ad finem II, inueniri angulum Borealem orientalem, in ſecun-
<
lb
/>
da à principio ♋ ad ſinẽ ♍ angulũ orientalẽ meridionalẽ, in tertia uero quarta à prinei-
<
lb
/>
pio ♎ ad finem ♐ angulũ meridionalẽ orientalẽ, & </
s
>
<
s
xml:id
="
echoid-s2261
"
xml:space
="
preserve
">in ultima quarta etiam includi an-
<
lb
/>
gulũ Borealẽ orientalẽ. </
s
>
<
s
xml:id
="
echoid-s2262
"
xml:space
="
preserve
">Operatio ita iſta ſic cõficietur, ꝓpone tibi illã zodiaci quar
<
lb
/>
tam, in qua punctũ eclypticæ inuenitur, & </
s
>
<
s
xml:id
="
echoid-s2263
"
xml:space
="
preserve
">quære gradũ æquinoctialis, qui cum illo in
<
lb
/>
ſphæra recta tangit horizontẽ iuxta ꝓnunciatũ 7. </
s
>
<
s
xml:id
="
echoid-s2264
"
xml:space
="
preserve
">deinde diſtantiã accipe puncti illius
<
lb
/>
à proxima interſectione æquinoctialis, & </
s
>
<
s
xml:id
="
echoid-s2265
"
xml:space
="
preserve
">propone tibi ſinum ſui cõplemẽti, eũ duc in ſi-
<
lb
/>
num maximæ de clinationis, ꝓductũ diuide in ſinũ totũ, & </
s
>
<
s
xml:id
="
echoid-s2266
"
xml:space
="
preserve
">quotientis arcus ex quadra cir
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0044-03
"
xlink:href
="
note-0044-03a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Lateralis</
emph
>
<
lb
/>
<
emph
style
="
it
">ingreſſus.</
emph
>
</
note
>
culi relinquet angulũ tibi quæſitũ. </
s
>
<
s
xml:id
="
echoid-s2267
"
xml:space
="
preserve
">Ex quo ſi cæteros etiam angulos ſcire cupis, tunc ſub
<
lb
/>
trahe angulũ inuẽtũ ex gradibus ſemicirculi, & </
s
>
<
s
xml:id
="
echoid-s2268
"
xml:space
="
preserve
">in reſiduo manebit angulus eius collatera
<
lb
/>
lis, qui iuxta illum eſt in medietate cœli oriẽtalis. </
s
>
<
s
xml:id
="
echoid-s2269
"
xml:space
="
preserve
">Hinc ſi quãtitatẽ anguli Borealis occi-
<
lb
/>
dentalis cupis habere, adſume tibi quantitatẽ anguli orientalis meridionalis. </
s
>
<
s
xml:id
="
echoid-s2270
"
xml:space
="
preserve
">qm̃ anguli
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0044-04
"
xlink:href
="
note-0044-04a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
E
<
emph
style
="
it
">piſoo
<
unsure
/>
pi.</
emph
>
</
note
>
contra ſe poſiti ſemꝑ ſunt æquales. </
s
>
<
s
xml:id
="
echoid-s2271
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s2272
"
xml:space
="
preserve
">? Exemplũ hoc tibi rẽ planius oſtẽder, ſi uelim ad
<
lb
/>
diẽ intronizatiõis ſcire quantitatẽ 4. </
s
>
<
s
xml:id
="
echoid-s2273
"
xml:space
="
preserve
">illo℞ angulo℞ meridiani & </
s
>
<
s
xml:id
="
echoid-s2274
"
xml:space
="
preserve
">eclypticæ planẽ in ipſo
<
lb
/>
meridie, qũ gradus 2. </
s
>
<
s
xml:id
="
echoid-s2275
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2276
"
xml:space
="
preserve
">26. </
s
>
<
s
xml:id
="
echoid-s2277
"
xml:space
="
preserve
">II, ubi tunc ☉(sun) erat, tetigit meridianũ. </
s
>
<
s
xml:id
="
echoid-s2278
"
xml:space
="
preserve
">Primũ oĩm quæro ꝑ
<
lb
/>
ꝓnunc. </
s
>
<
s
xml:id
="
echoid-s2279
"
xml:space
="
preserve
">7. </
s
>
<
s
xml:id
="
echoid-s2280
"
xml:space
="
preserve
">aſcenſionẽ rectã gradus ☉(sun), quæ eſt 60. </
s
>
<
s
xml:id
="
echoid-s2281
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2282
"
xml:space
="
preserve
">21. </
s
>
<
s
xml:id
="
echoid-s2283
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2284
"
xml:space
="
preserve
">tantũ abeſt etiã à proxima
<
lb
/>
interſectiõe, cõplementũ illius eſt 29. </
s
>
<
s
xml:id
="
echoid-s2285
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2286
"
xml:space
="
preserve
">39. </
s
>
<
s
xml:id
="
echoid-s2287
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2288
"
xml:space
="
preserve
">lam ſi ſinũ eius 49470. </
s
>
<
s
xml:id
="
echoid-s2289
"
xml:space
="
preserve
">ducã in ſinũ ma
<
lb
/>
ximæ declinationis 39874. </
s
>
<
s
xml:id
="
echoid-s2290
"
xml:space
="
preserve
">productum diuidam in ſinum totum, tuncin quotiente proue
<
lb
/>
nient 19726. </
s
>
<
s
xml:id
="
echoid-s2291
"
xml:space
="
preserve
">arcus eius eſt 11. </
s
>
<
s
xml:id
="
echoid-s2292
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2293
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s2294
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2295
"
xml:space
="
preserve
">qui & </
s
>
<
s
xml:id
="
echoid-s2296
"
xml:space
="
preserve
">angulus eſt. </
s
>
<
s
xml:id
="
echoid-s2297
"
xml:space
="
preserve
">Gradus autem illos & </
s
>
<
s
xml:id
="
echoid-s2298
"
xml:space
="
preserve
">minu
<
lb
/>
ta ſi ſubtraxero à 90. </
s
>
<
s
xml:id
="
echoid-s2299
"
xml:space
="
preserve
">tunc remanebunt 78. </
s
>
<
s
xml:id
="
echoid-s2300
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2301
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s2302
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2303
"
xml:space
="
preserve
">angulus ſcilicet Borealis orienta-
<
lb
/>
lis quæſitus: </
s
>
<
s
xml:id
="
echoid-s2304
"
xml:space
="
preserve
">hunc tibi ſubtraho à 180. </
s
>
<
s
xml:id
="
echoid-s2305
"
xml:space
="
preserve
">ipſo nimirum ſemicirculo, rem anent 101. </
s
>
<
s
xml:id
="
echoid-s2306
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2307
"
xml:space
="
preserve
">23.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2308
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2309
"
xml:space
="
preserve
">quantitas illa anguli Auſtralis orientalis, & </
s
>
<
s
xml:id
="
echoid-s2310
"
xml:space
="
preserve
">tantus etiam erit angulus occidentalis
<
lb
/>
Borealis, ſimiliter illi primo, ſcilicet 78. </
s
>
<
s
xml:id
="
echoid-s2311
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s2312
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s2313
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s2314
"
xml:space
="
preserve
">æqualis eſt angulus occidentalis me
<
lb
/>
ridionalis. </
s
>
<
s
xml:id
="
echoid-s2315
"
xml:space
="
preserve
">Et hoc modo ſatis mea quidem ſententia uidentur anguli iſti excuſsi.</
s
>
<
s
xml:id
="
echoid-s2316
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div69
"
type
="
section
"
level
="
1
"
n
="
39
">
<
head
xml:id
="
echoid-head43
"
xml:space
="
preserve
">PRONVNCIATVM XXVII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2317
"
xml:space
="
preserve
">Eoſdẽ angulos quatuor, q̊s eclyptica facit cũ meridiano, facilius inquirere.</
s
>
<
s
xml:id
="
echoid-s2318
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2319
"
xml:space
="
preserve
">Qđ ſi angulos illos diuerſo modo cupis inuenire, grauat
<
emph
style
="
sub
">9</
emph
>
forſitã nimiũ ꝓlixaiſta ſuꝑi
<
lb
/>
oriet oꝑoſa oꝑatiõe, ꝓpones pricipio tibi ſinũ diſtãtiæ arcus pũcti eclypticæ q̃ntũ diſtet
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0044-05
"
xlink:href
="
note-0044-05a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Illud habc-</
emph
>
<
lb
/>
<
emph
style
="
it
">tur in qua-</
emph
>
<
lb
/>
<
emph
style
="
it
">drante are</
emph
>
<
lb
/>
<
emph
style
="
it
">atim.</
emph
>
</
note
>
ille à ꝓxĩa interſectiõe eclypticæ & </
s
>
<
s
xml:id
="
echoid-s2320
"
xml:space
="
preserve
">meridiani, ſinũ illi9 rectũ tibi ꝓpone, ſimilit & </
s
>
<
s
xml:id
="
echoid-s2321
"
xml:space
="
preserve
">ſinũ re
<
lb
/>
ctũ ipſius aſcẽſiõis rectæ, quã ex 7. </
s
>
<
s
xml:id
="
echoid-s2322
"
xml:space
="
preserve
">ꝓnũciato inueniſti, & </
s
>
<
s
xml:id
="
echoid-s2323
"
xml:space
="
preserve
">deide ſinũ minorẽ duc in ſinũ to-
<
lb
/>
tũ ꝓductũ diuide in maiorẽ, et arcus q̊tiẽtis oſtẽdet angulũ q̃ſitũ, Borealẽ oriẽtalẽ in q̃r-
<
lb
/>
ta prima, in ſcd’a aũt quarta zodiaci mõſtrat angulũ orientalẽ meridionalẽ, in tertia an
<
lb
/>
gulũ orientalẽ meridionalẽ, quarta ſimilit’ ut prĩa oſtendit angulũ Borealẽ oriẽtalẽ. </
s
>
<
s
xml:id
="
echoid-s2324
"
xml:space
="
preserve
">Reli
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0044-06
"
xlink:href
="
note-0044-06a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
E
<
emph
style
="
it
">piſoo
<
unsure
/>
pi.</
emph
>
</
note
>
q̊s tres angulos ita inuenies, ut præcedẽti ꝓnunciato edoctus es. </
s
>
<
s
xml:id
="
echoid-s2325
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s2326
"
xml:space
="
preserve
">?Exemplũ hic tibi
<
lb
/>
dabimus huiuſmodi. </
s
>
<
s
xml:id
="
echoid-s2327
"
xml:space
="
preserve
">in ipſo die intronizationis gradus ☉(sun), ut antea diximus, fuit 2. </
s
>
<
s
xml:id
="
echoid-s2328
"
xml:space
="
preserve
">gra.</
s
>
<
s
xml:id
="
echoid-s2329
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>
