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
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
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 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 677
>
101
(81)
102
(82)
103
(83)
104
(84)
105
(85)
106
(86)
107
(87)
108
(88)
109
(89)
110
(90)
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 677
>
page
|<
<
(105)
of 677
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
it
"
type
="
free
">
<
div
xml:id
="
echoid-div363
"
type
="
section
"
level
="
1
"
n
="
129
">
<
pb
o
="
105
"
file
="
0125
"
n
="
125
"
rhead
="
LIBER PRIMVS.
"/>
</
div
>
<
div
xml:id
="
echoid-div369
"
type
="
section
"
level
="
1
"
n
="
130
">
<
head
xml:id
="
echoid-head133
"
xml:space
="
preserve
">PROBLEMA 11. PROPOSITIO 32.</
head
>
<
p
>
<
s
xml:id
="
echoid-s6242
"
xml:space
="
preserve
">DATO plano ad Horizontem inclinato, & </
s
>
<
s
xml:id
="
echoid-s6243
"
xml:space
="
preserve
">declinante à Verticali,
<
lb
/>
quantus ſit arcus circuli maximi inclinationem ipſius ad Horizontem
<
lb
/>
metientis inter Horizontem, & </
s
>
<
s
xml:id
="
echoid-s6244
"
xml:space
="
preserve
">circulum horæ ſextæ à meridie, vel me-
<
lb
/>
dia nocte poſitus, explorare.</
s
>
<
s
xml:id
="
echoid-s6245
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6246
"
xml:space
="
preserve
">SIT Horizon A B C D; </
s
>
<
s
xml:id
="
echoid-s6247
"
xml:space
="
preserve
">Meridianus A C; </
s
>
<
s
xml:id
="
echoid-s6248
"
xml:space
="
preserve
">Verticalis B I D; </
s
>
<
s
xml:id
="
echoid-s6249
"
xml:space
="
preserve
">planum inclinatum ad Horizon-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0125-01
"
xlink:href
="
note-0125-01a
"
xml:space
="
preserve
">10</
note
>
<
note
position
="
right
"
xlink:label
="
note-0125-02
"
xlink:href
="
note-0125-02a
"
xml:space
="
preserve
">Arcus circuli
<
lb
/>
maximi, qui pla
<
lb
/>
ni à Verticali
<
lb
/>
declinantis in-
<
lb
/>
clinationem ad
<
lb
/>
Horizontẽ me-
<
lb
/>
titur, inter Ho-
<
lb
/>
rizon@ẽ. & circu
<
lb
/>
lum horæ 6. à
<
lb
/>
mer. uel med.
<
lb
/>
noc. poſitus, quo
<
lb
/>
pacto inueſtigã-
<
lb
/>
dus.</
note
>
tem, & </
s
>
<
s
xml:id
="
echoid-s6250
"
xml:space
="
preserve
">à Verticali declinans E F; </
s
>
<
s
xml:id
="
echoid-s6251
"
xml:space
="
preserve
">circulus maximus eius inclinationem ſupra Horizontem metiẽs
<
lb
/>
G H, tranſiens per verticem, I, ſeu polum Horizontis, & </
s
>
<
s
xml:id
="
echoid-s6252
"
xml:space
="
preserve
">per polum plani inclinati M; </
s
>
<
s
xml:id
="
echoid-s6253
"
xml:space
="
preserve
">Circulus
<
lb
/>
denique horæ ſextæ à meridie, vel media nocte B K D, ductus
<
lb
/>
<
figure
xlink:label
="
fig-0125-01
"
xlink:href
="
fig-0125-01a
"
number
="
91
">
<
image
file
="
0125-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0125-01
"/>
</
figure
>
per polum mundi K, & </
s
>
<
s
xml:id
="
echoid-s6254
"
xml:space
="
preserve
">per B, D, communes ſectiones Hori-
<
lb
/>
zontis, & </
s
>
<
s
xml:id
="
echoid-s6255
"
xml:space
="
preserve
">Verticalis, ſecanſq́ue circulum G H, in L; </
s
>
<
s
xml:id
="
echoid-s6256
"
xml:space
="
preserve
">oporteatq́;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6257
"
xml:space
="
preserve
">arcum L H, explorare. </
s
>
<
s
xml:id
="
echoid-s6258
"
xml:space
="
preserve
">Quoniam in triangulo ſphærico D H L,
<
lb
/>
cuius angulus H, per propoſ. </
s
>
<
s
xml:id
="
echoid-s6259
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s6260
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6261
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s6262
"
xml:space
="
preserve
">Theod. </
s
>
<
s
xml:id
="
echoid-s6263
"
xml:space
="
preserve
">rectus eſt, quòd
<
lb
/>
circulus G H, per I, polum Horizontis A B C D, ducatur; </
s
>
<
s
xml:id
="
echoid-s6264
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s6265
"
xml:space
="
preserve
">an-
<
lb
/>
gulus D, angulus altitudinis poli, cum D, polus ſit Meridiani,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0125-03
"
xlink:href
="
note-0125-03a
"
xml:space
="
preserve
">20</
note
>
(Hinc enim fit, vt per corol. </
s
>
<
s
xml:id
="
echoid-s6266
"
xml:space
="
preserve
">propoſ. </
s
>
<
s
xml:id
="
echoid-s6267
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s6268
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6269
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s6270
"
xml:space
="
preserve
">Theod. </
s
>
<
s
xml:id
="
echoid-s6271
"
xml:space
="
preserve
">arcus DC,
<
lb
/>
D k, quadrantes ſint, ac proinde arcus C k, altitudinis poli ſu-
<
lb
/>
pra Horizontem metiatut angulum C D k) eſt per propoſ. </
s
>
<
s
xml:id
="
echoid-s6272
"
xml:space
="
preserve
">18.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6273
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6274
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s6275
"
xml:space
="
preserve
">Ioan. </
s
>
<
s
xml:id
="
echoid-s6276
"
xml:space
="
preserve
">Regiom. </
s
>
<
s
xml:id
="
echoid-s6277
"
xml:space
="
preserve
">de triangulis, vel per propoſ. </
s
>
<
s
xml:id
="
echoid-s6278
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s6279
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6280
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s6281
"
xml:space
="
preserve
">Ge-
<
lb
/>
bri, vel certè per propoſ. </
s
>
<
s
xml:id
="
echoid-s6282
"
xml:space
="
preserve
">42. </
s
>
<
s
xml:id
="
echoid-s6283
"
xml:space
="
preserve
">noſtrorum triangulorum ſphęri-
<
lb
/>
corum, vt ſinus anguli H D L, altitudinis poli, ad ſinum totum, ita ſinus complementi anguli L,
<
lb
/>
ad ſinum complementi arcus D H, hoc eſt, ad ſinum arcus C H, qui æqualis eſt declinationi pla
<
lb
/>
ni à Verticali; </
s
>
<
s
xml:id
="
echoid-s6284
"
xml:space
="
preserve
">(quoniam enim circulus G H, per polos Horizontis, & </
s
>
<
s
xml:id
="
echoid-s6285
"
xml:space
="
preserve
">circuli E F, ductus ſecat ar-
<
lb
/>
cus E N F, E H F, per propoſ. </
s
>
<
s
xml:id
="
echoid-s6286
"
xml:space
="
preserve
">9. </
s
>
<
s
xml:id
="
echoid-s6287
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6288
"
xml:space
="
preserve
">2. </
s
>
<
s
xml:id
="
echoid-s6289
"
xml:space
="
preserve
">Theodoſij, bifariam; </
s
>
<
s
xml:id
="
echoid-s6290
"
xml:space
="
preserve
">Eſt autem arcus E H F, ſemicirculus,
<
lb
/>
per propoſ. </
s
>
<
s
xml:id
="
echoid-s6291
"
xml:space
="
preserve
">11. </
s
>
<
s
xml:id
="
echoid-s6292
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6293
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s6294
"
xml:space
="
preserve
">Theodoſij, erit E H, quadrans, atque adeò quadranti D C, æqualis. </
s
>
<
s
xml:id
="
echoid-s6295
"
xml:space
="
preserve
">Ablato
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0125-04
"
xlink:href
="
note-0125-04a
"
xml:space
="
preserve
">30</
note
>
ergo communiarcu D H, erit reliquus arcus D E, declinationis plani à Verticali, æqualis arcui
<
lb
/>
reliquo C H.) </
s
>
<
s
xml:id
="
echoid-s6296
"
xml:space
="
preserve
">Erit conuertendo vt ſinus totus ad ſinum anguli H D L, altitudinis poli, ita ſinus
<
lb
/>
complementi arcus D H, hoc eſt, ſinus declinationis plani à Verticali, ad ſinum complementi an-
<
lb
/>
guli L. </
s
>
<
s
xml:id
="
echoid-s6297
"
xml:space
="
preserve
">Igitur ſi fiat, vt ſinus torus ad ſinum altitudinis poli ſupra Horizontem, ita ſinus declina-
<
lb
/>
tionis ad aliud, habebitur ſinus, cuius arcus ex quadrante ſubtractus relinquit angulum L, notũ.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6298
"
xml:space
="
preserve
">Quia verò per propoſ. </
s
>
<
s
xml:id
="
echoid-s6299
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s6300
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6301
"
xml:space
="
preserve
">4. </
s
>
<
s
xml:id
="
echoid-s6302
"
xml:space
="
preserve
">Ioan. </
s
>
<
s
xml:id
="
echoid-s6303
"
xml:space
="
preserve
">Regiom. </
s
>
<
s
xml:id
="
echoid-s6304
"
xml:space
="
preserve
">de triangulis, vel per propoſ. </
s
>
<
s
xml:id
="
echoid-s6305
"
xml:space
="
preserve
">13. </
s
>
<
s
xml:id
="
echoid-s6306
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s6307
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s6308
"
xml:space
="
preserve
">Gebri, vel cer
<
lb
/>
tè per propoſ. </
s
>
<
s
xml:id
="
echoid-s6309
"
xml:space
="
preserve
">41. </
s
>
<
s
xml:id
="
echoid-s6310
"
xml:space
="
preserve
">noſtrorum triangulorum ſphęricorum, in eodem triangulo eſt, vt ſinus anguli
<
lb
/>
L, proximè inuenti, ad ſinum arcus D H, complementi declinationis, ita ſinus anguli H D L, al-
<
lb
/>
titudinis poli, ad ſinum arcus L H; </
s
>
<
s
xml:id
="
echoid-s6311
"
xml:space
="
preserve
">Si fiat, vt ſinus anguli L, inuenti ad ſinum complementi decli
<
lb
/>
nationis, ita ſinus altitudinis poli ſupra Horizontem ad aliud, habebitur ſinus arcus L H, quæſiti.</
s
>
<
s
xml:id
="
echoid-s6312
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">Exemplum pri-
<
lb
/>
mum.</
note
>
<
p
>
<
s
xml:id
="
echoid-s6313
"
xml:space
="
preserve
">EXEMPLVM. </
s
>
<
s
xml:id
="
echoid-s6314
"
xml:space
="
preserve
">Ponatur planum inclinatum ad Horizontem grad. </
s
>
<
s
xml:id
="
echoid-s6315
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s6316
"
xml:space
="
preserve
">declinãs verò à Ver-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0125-06
"
xlink:href
="
note-0125-06a
"
xml:space
="
preserve
">40</
note
>
ticali grad. </
s
>
<
s
xml:id
="
echoid-s6317
"
xml:space
="
preserve
">20. </
s
>
<
s
xml:id
="
echoid-s6318
"
xml:space
="
preserve
">Fiat vt 100000. </
s
>
<
s
xml:id
="
echoid-s6319
"
xml:space
="
preserve
">ſinus totus, ad 66913. </
s
>
<
s
xml:id
="
echoid-s6320
"
xml:space
="
preserve
">ſinum altitudinis poli, ita 34202. </
s
>
<
s
xml:id
="
echoid-s6321
"
xml:space
="
preserve
">ſinus de-
<
lb
/>
clinationis ad aliud, reperietur hic ferè ſinus 22885 cuius arcus grad. </
s
>
<
s
xml:id
="
echoid-s6322
"
xml:space
="
preserve
">13. </
s
>
<
s
xml:id
="
echoid-s6323
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s6324
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s6325
"
xml:space
="
preserve
">à quadrante
<
lb
/>
demptus relinquit angulum L, grad. </
s
>
<
s
xml:id
="
echoid-s6326
"
xml:space
="
preserve
">76. </
s
>
<
s
xml:id
="
echoid-s6327
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s6328
"
xml:space
="
preserve
">46. </
s
>
<
s
xml:id
="
echoid-s6329
"
xml:space
="
preserve
">Rurſus fiat, vt 97344. </
s
>
<
s
xml:id
="
echoid-s6330
"
xml:space
="
preserve
">ſinus anguli L, inuenti,
<
lb
/>
ad 93969. </
s
>
<
s
xml:id
="
echoid-s6331
"
xml:space
="
preserve
">ſinum complementi declinationis, ita 66913. </
s
>
<
s
xml:id
="
echoid-s6332
"
xml:space
="
preserve
">ſinus altitudinis poliad aliud, habebi-
<
lb
/>
turq́ue hic propemodum ſinus 64593. </
s
>
<
s
xml:id
="
echoid-s6333
"
xml:space
="
preserve
">cui reſpondent grad. </
s
>
<
s
xml:id
="
echoid-s6334
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s6335
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s6336
"
xml:space
="
preserve
">14. </
s
>
<
s
xml:id
="
echoid-s6337
"
xml:space
="
preserve
">pro arcu L H. </
s
>
<
s
xml:id
="
echoid-s6338
"
xml:space
="
preserve
">quęſito.</
s
>
<
s
xml:id
="
echoid-s6339
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s6340
"
xml:space
="
preserve
">RVRSVS ponatur planum inclinatum ad Horizontem grad. </
s
>
<
s
xml:id
="
echoid-s6341
"
xml:space
="
preserve
">52. </
s
>
<
s
xml:id
="
echoid-s6342
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s6343
"
xml:space
="
preserve
">3. </
s
>
<
s
xml:id
="
echoid-s6344
"
xml:space
="
preserve
">declinans autem à
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0125-07
"
xlink:href
="
note-0125-07a
"
xml:space
="
preserve
">Exemplum ſe-
<
lb
/>
cundum.</
note
>
Verticali grad. </
s
>
<
s
xml:id
="
echoid-s6345
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s6346
"
xml:space
="
preserve
">Fiat vt 100000. </
s
>
<
s
xml:id
="
echoid-s6347
"
xml:space
="
preserve
">ſinus totus ad 66913. </
s
>
<
s
xml:id
="
echoid-s6348
"
xml:space
="
preserve
">ſinum altitudinis poli, ita 50000. </
s
>
<
s
xml:id
="
echoid-s6349
"
xml:space
="
preserve
">ſinus
<
lb
/>
declinationis ad aliud, inuenieturq́; </
s
>
<
s
xml:id
="
echoid-s6350
"
xml:space
="
preserve
">hic fermè ſinus 33456. </
s
>
<
s
xml:id
="
echoid-s6351
"
xml:space
="
preserve
">cuius arcus grad. </
s
>
<
s
xml:id
="
echoid-s6352
"
xml:space
="
preserve
">19. </
s
>
<
s
xml:id
="
echoid-s6353
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s6354
"
xml:space
="
preserve
">33. </
s
>
<
s
xml:id
="
echoid-s6355
"
xml:space
="
preserve
">à qua-
<
lb
/>
drante ablatus relinquit angulum L, quem circulus maximus inclinationem plani ad Horizontẽ
<
lb
/>
metiens facit cum circulo horæ ſextæ à meridie, vel media nocte, grad. </
s
>
<
s
xml:id
="
echoid-s6356
"
xml:space
="
preserve
">70. </
s
>
<
s
xml:id
="
echoid-s6357
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s6358
"
xml:space
="
preserve
">27.</
s
>
<
s
xml:id
="
echoid-s6359
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">50</
note
>
<
p
>
<
s
xml:id
="
echoid-s6360
"
xml:space
="
preserve
">FIAT rurſus, vt 94234. </
s
>
<
s
xml:id
="
echoid-s6361
"
xml:space
="
preserve
">ſinus anguli L, inuenti, ad 86602. </
s
>
<
s
xml:id
="
echoid-s6362
"
xml:space
="
preserve
">ſinum complementi declinatio-
<
lb
/>
nis, ita 66913. </
s
>
<
s
xml:id
="
echoid-s6363
"
xml:space
="
preserve
">ſinus altitudinis poli ad aliud, habebiturq́; </
s
>
<
s
xml:id
="
echoid-s6364
"
xml:space
="
preserve
">hic ferè ſinus 61493. </
s
>
<
s
xml:id
="
echoid-s6365
"
xml:space
="
preserve
">cui reſpondent
<
lb
/>
grad. </
s
>
<
s
xml:id
="
echoid-s6366
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s6367
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s6368
"
xml:space
="
preserve
">57. </
s
>
<
s
xml:id
="
echoid-s6369
"
xml:space
="
preserve
">pro arcu LH, qui quęritur. </
s
>
<
s
xml:id
="
echoid-s6370
"
xml:space
="
preserve
">Dato ergo plano ad Horizontem inclinato &</
s
>
<
s
xml:id
="
echoid-s6371
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s6372
"
xml:space
="
preserve
">Quod
<
lb
/>
erat faciendum.</
s
>
<
s
xml:id
="
echoid-s6373
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div373
"
type
="
section
"
level
="
1
"
n
="
131
">
<
head
xml:id
="
echoid-head134
"
style
="
it
"
xml:space
="
preserve
">SCHOLIVM.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s6374
"
xml:space
="
preserve
">PROPOSVIMVS proxima ſex Problemata, quoniam eorum mirificus vſus apparebit in ho-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0125-09
"
xlink:href
="
note-0125-09a
"
xml:space
="
preserve
">Ad quid condu
<
lb
/>
cant ſex antece-
<
lb
/>
dentes propoſi-
<
lb
/>
tiones.</
note
>
rologijs, quorum plana, in quibus deſcribuntur, parallela ſunt circulis maximis, qui vel à Verticali decli
<
lb
/>
nant, & </
s
>
<
s
xml:id
="
echoid-s6375
"
xml:space
="
preserve
">ad Horizontem ſunt recti; </
s
>
<
s
xml:id
="
echoid-s6376
"
xml:space
="
preserve
">vel ab Horizonte declinant, rectiq́, ſunt ad Verticalem; </
s
>
<
s
xml:id
="
echoid-s6377
"
xml:space
="
preserve
">vel deniq;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s6378
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s6379
"
xml:space
="
preserve
">à Verticali declinant, & </
s
>
<
s
xml:id
="
echoid-s6380
"
xml:space
="
preserve
">ad Horizontem ſunt inclinati, vt ex ſequentibus fiet perſpicuum.</
s
>
<
s
xml:id
="
echoid-s6381
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>