Clavius, Christoph
,
Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur
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LIBER SECVNDVS.
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Analemmatis propoſ. </
s
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<
s
xml:id
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xml:space
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">1. </
s
>
<
s
xml:id
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"
xml:space
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">huius libri, ſumatur arcus E K, æqualis arcui C E, altitudinis poli, ita vt
<
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<
note
position
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xlink:label
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note-0217-01
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xlink:href
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note-0217-01a
"
xml:space
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">Quomodo li-
<
lb
/>
nea horæ 12. ab
<
lb
/>
or. vel occ. du-
<
lb
/>
cenda ſi@ in h@-
<
lb
/>
rologio ho@@zõ-
<
lb
/>
tali.</
note
>
recta ducta C K, diameter ſit paralleli omnium ſemper apparentium maximi, nempe communis
<
lb
/>
eius, & </
s
>
<
s
xml:id
="
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"
xml:space
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">Meridiani ſectio. </
s
>
<
s
xml:id
="
echoid-s13161
"
xml:space
="
preserve
">Et quoniam circulus horæ duodecimæ ab occaſu tangit dictum paral-
<
lb
/>
lelum in puncto K, quod in diametro eiuſdem paralleli opponitur puncto C, in quo eundem pa-
<
lb
/>
rallelum tangit Horizon, ſeu circulus horæ 24. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">ab or. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">vel occ. </
s
>
<
s
xml:id
="
echoid-s13164
"
xml:space
="
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">vt cõſtat ex figura propoſ. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">9. </
s
>
<
s
xml:id
="
echoid-s13166
"
xml:space
="
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">ſuperio-
<
lb
/>
ris lib. </
s
>
<
s
xml:id
="
echoid-s13167
"
xml:space
="
preserve
">tranſibit Meridianus per K, cõtactum dictorum circulorum. </
s
>
<
s
xml:id
="
echoid-s13168
"
xml:space
="
preserve
">Cum ergo trãſeat quoque per
<
lb
/>
polos dicti paralleli, tranſibit quoque per polos circuli horæ 12. </
s
>
<
s
xml:id
="
echoid-s13169
"
xml:space
="
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">ab or. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">ex propoſ. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">5. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">lib. </
s
>
<
s
xml:id
="
echoid-s13174
"
xml:space
="
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">2.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s13175
"
xml:space
="
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">Theod. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">Igitur per propoſ. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">lib. </
s
>
<
s
xml:id
="
echoid-s13179
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s13180
"
xml:space
="
preserve
">Theod. </
s
>
<
s
xml:id
="
echoid-s13181
"
xml:space
="
preserve
">Meridianus ad dictum circulum rectus erit, & </
s
>
<
s
xml:id
="
echoid-s13182
"
xml:space
="
preserve
">hic vi-
<
lb
/>
ciſſim ad Meridianum rectus. </
s
>
<
s
xml:id
="
echoid-s13183
"
xml:space
="
preserve
">Rurſus quia dictus circulus horæ 12. </
s
>
<
s
xml:id
="
echoid-s13184
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s13185
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13186
"
xml:space
="
preserve
">cum ſit maxi-
<
lb
/>
mus, tranſit per centrum mundi D, oſtenſumq́; </
s
>
<
s
xml:id
="
echoid-s13187
"
xml:space
="
preserve
">eſt, eundem tranſire per K, erit recta ex K, per D,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0217-02
"
xlink:href
="
note-0217-02a
"
xml:space
="
preserve
">10</
note
>
educta communis ſectio Meridiani, & </
s
>
<
s
xml:id
="
echoid-s13188
"
xml:space
="
preserve
">circuli horæ 12. </
s
>
<
s
xml:id
="
echoid-s13189
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s13190
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13191
"
xml:space
="
preserve
">occurrens in plano horologii
<
lb
/>
lineæ meridianæ H I, in puncto L. </
s
>
<
s
xml:id
="
echoid-s13192
"
xml:space
="
preserve
">Dico iam rectam, quæ per L, ad lineam meridianam horologii
<
lb
/>
ducitur perpendicularis, eſſe lineam horæ 12. </
s
>
<
s
xml:id
="
echoid-s13193
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s13194
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13195
"
xml:space
="
preserve
">Quoniam enim tam planum horolo-
<
lb
/>
gij horizontalis, quàm planum circuli horæ 12. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13198
"
xml:space
="
preserve
">rectum eſt, vt proxime demonſtra-
<
lb
/>
uimus, ad Meridianum, erit quoque communis eorum ſectio, nimirum linea horæ 12. </
s
>
<
s
xml:id
="
echoid-s13199
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s13200
"
xml:space
="
preserve
">vel
<
lb
/>
occ. </
s
>
<
s
xml:id
="
echoid-s13201
"
xml:space
="
preserve
">ad eundem Meridianum, atque adeo & </
s
>
<
s
xml:id
="
echoid-s13202
"
xml:space
="
preserve
">ad lineam meridianam H I, in Meridiano exiſtentem,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0217-03
"
xlink:href
="
note-0217-03a
"
xml:space
="
preserve
">19. vndec.</
note
>
per defin. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">3. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">lib. </
s
>
<
s
xml:id
="
echoid-s13205
"
xml:space
="
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">11. </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">Eucl. </
s
>
<
s
xml:id
="
echoid-s13207
"
xml:space
="
preserve
">perpendicularis in puncto L, in quo diximus communem ſectionem cir-
<
lb
/>
culi horæ 12. </
s
>
<
s
xml:id
="
echoid-s13208
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s13209
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13210
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13211
"
xml:space
="
preserve
">Meridiani, ac proinde & </
s
>
<
s
xml:id
="
echoid-s13212
"
xml:space
="
preserve
">ipſum circulum horæ 12 ab or. </
s
>
<
s
xml:id
="
echoid-s13213
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13214
"
xml:space
="
preserve
">pla
<
lb
/>
no horologii occurrere. </
s
>
<
s
xml:id
="
echoid-s13215
"
xml:space
="
preserve
">Recta igitur in plano horologii ducta per L, ad meridianam lineam per-
<
lb
/>
pendicularis, dabit lineam horæ 12. </
s
>
<
s
xml:id
="
echoid-s13216
"
xml:space
="
preserve
">ab or. </
s
>
<
s
xml:id
="
echoid-s13217
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13218
"
xml:space
="
preserve
">Igitur ſi in lineam meridianam horologii ex
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0217-04
"
xlink:href
="
note-0217-04a
"
xml:space
="
preserve
">20</
note
>
centro H, transferatur punctum L, ſumptum beneficio circini ex puncto H, portionis Analemma
<
lb
/>
tis, ac per L, lin ea perpendicularis ad meridianam lineam, vel parallela lineę horę 6. </
s
>
<
s
xml:id
="
echoid-s13219
"
xml:space
="
preserve
">à meridie, vel
<
lb
/>
media nocte, ſeu linea æquinoctiali ducatur, erit hæc ipſa linea horæ 12. </
s
>
<
s
xml:id
="
echoid-s13220
"
xml:space
="
preserve
">ab ortu, vel occaſu.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s13221
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0217-05
"
xlink:href
="
note-0217-05a
"
xml:space
="
preserve
">Alia deſcriptio
<
lb
/>
horolog@i Itali-
<
lb
/>
ci horizontalis,
<
lb
/>
beneficio lineæ
<
lb
/>
horæ 12. ab or.
<
lb
/>
vel occ@ abſol-
<
lb
/>
uenda.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s13222
"
xml:space
="
preserve
">DESCRIPTA autem hoc modo linea horæ duodecimæ ab ortu, vel occaſu, facile reliquæ
<
lb
/>
horæ ab occaſu deſcribentur, ſi diligenter in linea æquinoctiali, & </
s
>
<
s
xml:id
="
echoid-s13223
"
xml:space
="
preserve
">linea horæ duodecimæ ab or.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s13224
"
xml:space
="
preserve
">vel occ. </
s
>
<
s
xml:id
="
echoid-s13225
"
xml:space
="
preserve
">notentur puncta ex tabula propoſ. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">19. </
s
>
<
s
xml:id
="
echoid-s13227
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13228
"
xml:space
="
preserve
">tabula ſecunda propoſ. </
s
>
<
s
xml:id
="
echoid-s13229
"
xml:space
="
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">20. </
s
>
<
s
xml:id
="
echoid-s13230
"
xml:space
="
preserve
">præcedentis libri, per
<
lb
/>
quæ lineæ horarum ab occaſu tranſeunt. </
s
>
<
s
xml:id
="
echoid-s13231
"
xml:space
="
preserve
">Rectæ enim correſpondentia puncta connectentes da-
<
lb
/>
bunt horarias lineas ab occaſu. </
s
>
<
s
xml:id
="
echoid-s13232
"
xml:space
="
preserve
">Exemplum. </
s
>
<
s
xml:id
="
echoid-s13233
"
xml:space
="
preserve
">Hora 23. </
s
>
<
s
xml:id
="
echoid-s13234
"
xml:space
="
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">ab occaſu tranſit in linea æquinoctiali per
<
lb
/>
punctum horæ quintæ à meridie, vel media nocte, & </
s
>
<
s
xml:id
="
echoid-s13235
"
xml:space
="
preserve
">in linea horæ duodecimæ ab ortu, vel occaſu
<
lb
/>
per punctum horæ 5 {1/2}. </
s
>
<
s
xml:id
="
echoid-s13236
"
xml:space
="
preserve
">à meridie, vt ex dictis tabulis conſtat. </
s
>
<
s
xml:id
="
echoid-s13237
"
xml:space
="
preserve
">Igitur recta per illa duo puncta
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0217-06
"
xlink:href
="
note-0217-06a
"
xml:space
="
preserve
">30</
note
>
tranſiens dabit horariam lineam, quæ horam 23. </
s
>
<
s
xml:id
="
echoid-s13238
"
xml:space
="
preserve
">ab occaſu indicet. </
s
>
<
s
xml:id
="
echoid-s13239
"
xml:space
="
preserve
">Eodem modo tranſibit linea
<
lb
/>
horæ 22. </
s
>
<
s
xml:id
="
echoid-s13240
"
xml:space
="
preserve
">ab occaſu per punctum horæ quartæ à meridie in linea æquinoctiali, & </
s
>
<
s
xml:id
="
echoid-s13241
"
xml:space
="
preserve
">per punctum ho
<
lb
/>
ræ quintæ à meridie in linea horæ duodecimæ ab ortu, vel occaſu; </
s
>
<
s
xml:id
="
echoid-s13242
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13243
"
xml:space
="
preserve
">ſic de cæteris.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s13244
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0217-07
"
xlink:href
="
note-0217-07a
"
xml:space
="
preserve
">Alia deſcriptio
<
lb
/>
horolog@i Itali-
<
lb
/>
ci horizontalis,
<
lb
/>
ex tabula pri-
<
lb
/>
ma propoſ. 20.
<
lb
/>
ſuperioris lib.
<
lb
/>
vbi quęlibet ho
<
lb
/>
ra ab occ. paral-
<
lb
/>
lela eſt alicui
<
lb
/>
horæ à mer. vel
<
lb
/>
med. noc.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s13245
"
xml:space
="
preserve
">POSSVNT etiam lineæ horarum ab occaſu facile ex tabula prima propoſ. </
s
>
<
s
xml:id
="
echoid-s13246
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s13247
"
xml:space
="
preserve
">ſuperioris li-
<
lb
/>
bri deſcribi hoc modo. </
s
>
<
s
xml:id
="
echoid-s13248
"
xml:space
="
preserve
">Per punctum horæ quintæ à meridie, vel media nocte in linea æquino-
<
lb
/>
ctiali, per quod nimirum tranſit hora 23. </
s
>
<
s
xml:id
="
echoid-s13249
"
xml:space
="
preserve
">ab occaſu, vt ex tabula propoſ. </
s
>
<
s
xml:id
="
echoid-s13250
"
xml:space
="
preserve
">19@ eiuſdem libri conſtat,
<
lb
/>
agatur recta parallela lineæ horæ 11 {1/2}. </
s
>
<
s
xml:id
="
echoid-s13251
"
xml:space
="
preserve
">à meridie, vel media nocte. </
s
>
<
s
xml:id
="
echoid-s13252
"
xml:space
="
preserve
">Hæc enim erit linea horæ 23.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s13253
"
xml:space
="
preserve
">ab occaſu. </
s
>
<
s
xml:id
="
echoid-s13254
"
xml:space
="
preserve
">Sic quoque linea horæ 22. </
s
>
<
s
xml:id
="
echoid-s13255
"
xml:space
="
preserve
">ab occaſu per punctum horæ quartæ à meridie tranſiens,
<
lb
/>
parallela erit lineæ horæ vndecimæ à meridie, vel media nocte, &</
s
>
<
s
xml:id
="
echoid-s13256
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s13257
"
xml:space
="
preserve
">vt perſpicuum eſt ex tabula pri
<
lb
/>
ma propoſ. </
s
>
<
s
xml:id
="
echoid-s13258
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s13259
"
xml:space
="
preserve
">præcedentis libri, in qua quælibet binæ horæ parallelæ ſunt in horologio horizon
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0217-08
"
xlink:href
="
note-0217-08a
"
xml:space
="
preserve
">40</
note
>
tali, vt in ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s13260
"
xml:space
="
preserve
">22. </
s
>
<
s
xml:id
="
echoid-s13261
"
xml:space
="
preserve
">eiuſdem lib demonſtrauimus. </
s
>
<
s
xml:id
="
echoid-s13262
"
xml:space
="
preserve
">Deſcribentur autem expeditè huiuſ-
<
lb
/>
modi parallelæ, ſi ſumantur rectæ in æquinoctiali linea interceptę inter puncta, per quæ horæ ab
<
lb
/>
occ. </
s
>
<
s
xml:id
="
echoid-s13263
"
xml:space
="
preserve
">duci debent, iuxta tabulam propoſ. </
s
>
<
s
xml:id
="
echoid-s13264
"
xml:space
="
preserve
">19. </
s
>
<
s
xml:id
="
echoid-s13265
"
xml:space
="
preserve
">libri antecedentis, & </
s
>
<
s
xml:id
="
echoid-s13266
"
xml:space
="
preserve
">puncta horarum à meridie, vel
<
lb
/>
med noc. </
s
>
<
s
xml:id
="
echoid-s13267
"
xml:space
="
preserve
">quibus illæ, iuxta tabulam primam propoſ. </
s
>
<
s
xml:id
="
echoid-s13268
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s13269
"
xml:space
="
preserve
">eiuſdem lib. </
s
>
<
s
xml:id
="
echoid-s13270
"
xml:space
="
preserve
">æquidiſtantes ſunt, transfe
<
lb
/>
ranturq́ue ex H, centro horologii in lineam horæ ſextæ à meridie, vel media nocte. </
s
>
<
s
xml:id
="
echoid-s13271
"
xml:space
="
preserve
">Vt ſi lineæ in
<
lb
/>
æquinoctiali linea interiectæ inter punctum horæ vndecimæ à meridie@ cui æquidiſtat hora 22. </
s
>
<
s
xml:id
="
echoid-s13272
"
xml:space
="
preserve
">ab
<
lb
/>
occaſu, & </
s
>
<
s
xml:id
="
echoid-s13273
"
xml:space
="
preserve
">punctum horæ quartæ à meridie, per quod tranſit eadem hora 22. </
s
>
<
s
xml:id
="
echoid-s13274
"
xml:space
="
preserve
">ſumatur in linea ho-
<
lb
/>
ræ ſextæ à meridie æqualis H X, erit recta per X, & </
s
>
<
s
xml:id
="
echoid-s13275
"
xml:space
="
preserve
">punctum horæ quartæ à meridie ducta, lineę
<
lb
/>
horæ vndecimæ à meridie, vel media nocte paralle
<
unsure
/>
la, ac propterea horam 22. </
s
>
<
s
xml:id
="
echoid-s13276
"
xml:space
="
preserve
">ab occaſu indica-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0217-09
"
xlink:href
="
note-0217-09a
"
xml:space
="
preserve
">33. primi.</
note
>
bit, &</
s
>
<
s
xml:id
="
echoid-s13277
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s13278
"
xml:space
="
preserve
">Quòd ſi lineæ æquinoctiali agatur parallela longius ab ea diſtans, in quam transferantur
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0217-10
"
xlink:href
="
note-0217-10a
"
xml:space
="
preserve
">50</
note
>
eędem rectę interceptę in linea æquinoctiali inter puncta, per quę duci debent horę ab occ. </
s
>
<
s
xml:id
="
echoid-s13279
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13280
"
xml:space
="
preserve
">pun
<
lb
/>
cta horarum à mer. </
s
>
<
s
xml:id
="
echoid-s13281
"
xml:space
="
preserve
">vel med. </
s
>
<
s
xml:id
="
echoid-s13282
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s13283
"
xml:space
="
preserve
">quibus illę ęquidiſtant, initio ſemper facto ab horis à mer. </
s
>
<
s
xml:id
="
echoid-s13284
"
xml:space
="
preserve
">vel
<
lb
/>
med. </
s
>
<
s
xml:id
="
echoid-s13285
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s13286
"
xml:space
="
preserve
">quibus ęquidiſtare debent horę ab occ. </
s
>
<
s
xml:id
="
echoid-s13287
"
xml:space
="
preserve
">multo accuratius ducentur horę ab occ. </
s
>
<
s
xml:id
="
echoid-s13288
"
xml:space
="
preserve
">cum
<
lb
/>
quęlibet per tria puncta ducatur, quorum vnum eſt in linea horæ ſextæ à mer. </
s
>
<
s
xml:id
="
echoid-s13289
"
xml:space
="
preserve
">vel med. </
s
>
<
s
xml:id
="
echoid-s13290
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s13291
"
xml:space
="
preserve
">alterũ
<
lb
/>
in æquinoctiali linea, & </
s
>
<
s
xml:id
="
echoid-s13292
"
xml:space
="
preserve
">in parallela vltimò ducta tertium.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s13293
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0217-11
"
xlink:href
="
note-0217-11a
"
xml:space
="
preserve
">Quæ horæ a@
<
lb
/>
occ. ſe mutuo
<
lb
/>
ſecent in linea
<
lb
/>
horæ 6 à mer.
<
lb
/>
vel med. noc.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s13294
"
xml:space
="
preserve
">PRAETEREA hora 23. </
s
>
<
s
xml:id
="
echoid-s13295
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13296
"
xml:space
="
preserve
">13. </
s
>
<
s
xml:id
="
echoid-s13297
"
xml:space
="
preserve
">ab occaſu ſecant ſe mutuo, ſi rectę deſcriptę ſint, in linea
<
lb
/>
horę ſextę à meridie, vel med. </
s
>
<
s
xml:id
="
echoid-s13298
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s13299
"
xml:space
="
preserve
">Item hora 22. </
s
>
<
s
xml:id
="
echoid-s13300
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13301
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s13302
"
xml:space
="
preserve
">necnon 21. </
s
>
<
s
xml:id
="
echoid-s13303
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s13304
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s13305
"
xml:space
="
preserve
">&</
s
>
<
s
xml:id
="
echoid-s13306
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s13307
"
xml:space
="
preserve
">vt patet ex tabula
<
lb
/>
tertia propoſ. </
s
>
<
s
xml:id
="
echoid-s13308
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s13309
"
xml:space
="
preserve
">pręcedentis libri.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s13310
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0217-12
"
xlink:href
="
note-0217-12a
"
xml:space
="
preserve
">Quæ lineæ ho-
<
lb
/>
ra@um ab occ. ſe
<
lb
/>
@@utu@ ſecẽt in
<
lb
/>
l@nea meridia-
<
lb
/>
na.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s13311
"
xml:space
="
preserve
">RVRSVS ex tabula quarta propoſ. </
s
>
<
s
xml:id
="
echoid-s13312
"
xml:space
="
preserve
">eiuſdem, hora decima, & </
s
>
<
s
xml:id
="
echoid-s13313
"
xml:space
="
preserve
">decimaquarta ab occaſu ſe in-
<
lb
/>
terſecant in linea meridiana, ſeu horę duodecimę à meridie, vel med. </
s
>
<
s
xml:id
="
echoid-s13314
"
xml:space
="
preserve
">noc. </
s
>
<
s
xml:id
="
echoid-s13315
"
xml:space
="
preserve
">Item hora vndecima,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s13316
"
xml:space
="
preserve
">decimatertia, &</
s
>
<
s
xml:id
="
echoid-s13317
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s13318
"
xml:space
="
preserve
">Denique ex propoſ. </
s
>
<
s
xml:id
="
echoid-s13319
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s13320
"
xml:space
="
preserve
">ſuperioris libri, & </
s
>
<
s
xml:id
="
echoid-s13321
"
xml:space
="
preserve
">figura propoſ. </
s
>
<
s
xml:id
="
echoid-s13322
"
xml:space
="
preserve
">9. </
s
>
<
s
xml:id
="
echoid-s13323
"
xml:space
="
preserve
">libri eiuſdem, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>