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
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 677
>
Scan
Original
11
12
13
14
15
16
17
18
19
20
21
22
2
23
3
24
4
25
5
26
6
27
7
28
8
29
9
30
10
31
11
32
12
33
13
34
14
35
15
36
16
37
17
38
18
39
19
40
20
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
541 - 570
571 - 600
601 - 630
631 - 660
661 - 677
>
page
|<
<
(100)
of 677
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
it
"
type
="
free
">
<
div
xml:id
="
echoid-div347
"
type
="
section
"
level
="
1
"
n
="
127
">
<
p
>
<
s
xml:id
="
echoid-s5728
"
xml:space
="
preserve
">
<
pb
o
="
100
"
file
="
0120
"
n
="
120
"
rhead
="
GNOMONICES
"/>
propoſ. </
s
>
<
s
xml:id
="
echoid-s5729
"
xml:space
="
preserve
">13. </
s
>
<
s
xml:id
="
echoid-s5730
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s5731
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s5732
"
xml:space
="
preserve
">Gebri, vel certè ex propoſ. </
s
>
<
s
xml:id
="
echoid-s5733
"
xml:space
="
preserve
">41. </
s
>
<
s
xml:id
="
echoid-s5734
"
xml:space
="
preserve
">noſtrorum triangulorum ſphæricorum, ſinus ar-
<
lb
/>
cus H I, altitudinis poli ſupra planum, ad ſinum anguli G, inclinationis plani ad Meridianum; </
s
>
<
s
xml:id
="
echoid-s5735
"
xml:space
="
preserve
">erit
<
lb
/>
quoque conuertendo, vt ſinus totus anguli recti I, ad ſinum arcus Meridiani G H, inter planum, & </
s
>
<
s
xml:id
="
echoid-s5736
"
xml:space
="
preserve
">
<
lb
/>
<
figure
xlink:label
="
fig-0120-01
"
xlink:href
="
fig-0120-01a
"
number
="
85
">
<
image
file
="
0120-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0120-01
"/>
</
figure
>
<
note
position
="
left
"
xlink:label
="
note-0120-01
"
xlink:href
="
note-0120-01a
"
xml:space
="
preserve
">10</
note
>
polum intercepti, ita ſinus anguli G, inclinationis plani ad Meridianum, ad ſinum arcus H I, alti-
<
lb
/>
tudinis poli ſupra planum. </
s
>
<
s
xml:id
="
echoid-s5737
"
xml:space
="
preserve
">Itaque inuento per corollarium præcedentis propoſ. </
s
>
<
s
xml:id
="
echoid-s5738
"
xml:space
="
preserve
">arcu Meridiani
<
lb
/>
inter planum inclinatum, & </
s
>
<
s
xml:id
="
echoid-s5739
"
xml:space
="
preserve
">polum mundi intercepto, nec non per propoſ. </
s
>
<
s
xml:id
="
echoid-s5740
"
xml:space
="
preserve
">27. </
s
>
<
s
xml:id
="
echoid-s5741
"
xml:space
="
preserve
">huius lib. </
s
>
<
s
xml:id
="
echoid-s5742
"
xml:space
="
preserve
">inclina-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0120-02
"
xlink:href
="
note-0120-02a
"
xml:space
="
preserve
">20</
note
>
tione plani ad Meridianum; </
s
>
<
s
xml:id
="
echoid-s5743
"
xml:space
="
preserve
">ſi fiat, vt ſinus totus ad ſinum arcus Meridiani inter planum, & </
s
>
<
s
xml:id
="
echoid-s5744
"
xml:space
="
preserve
">po-
<
lb
/>
lum interiecti; </
s
>
<
s
xml:id
="
echoid-s5745
"
xml:space
="
preserve
">ita ſinus inclinationis plani ad Meridianum, ad aliud, habebitur ſinus altitudinis
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0120-03
"
xlink:href
="
note-0120-03a
"
xml:space
="
preserve
">Exem plum pri-
<
lb
/>
mum.</
note
>
poli ſupra planum propoſitum. </
s
>
<
s
xml:id
="
echoid-s5746
"
xml:space
="
preserve
">Exemplum. </
s
>
<
s
xml:id
="
echoid-s5747
"
xml:space
="
preserve
">Ponatur arcus Meridiani inter planũ, & </
s
>
<
s
xml:id
="
echoid-s5748
"
xml:space
="
preserve
">polum grad.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5749
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s5750
"
xml:space
="
preserve
">inclinatio verò plani ad Meridianũ grad. </
s
>
<
s
xml:id
="
echoid-s5751
"
xml:space
="
preserve
">35. </
s
>
<
s
xml:id
="
echoid-s5752
"
xml:space
="
preserve
">Si igitur fiat, vt 100000. </
s
>
<
s
xml:id
="
echoid-s5753
"
xml:space
="
preserve
">ſinus totus ad 50000. </
s
>
<
s
xml:id
="
echoid-s5754
"
xml:space
="
preserve
">
<
lb
/>
ſinum arcus inter planum, & </
s
>
<
s
xml:id
="
echoid-s5755
"
xml:space
="
preserve
">polum poſiti, ita 57357. </
s
>
<
s
xml:id
="
echoid-s5756
"
xml:space
="
preserve
">ſinus grad. </
s
>
<
s
xml:id
="
echoid-s5757
"
xml:space
="
preserve
">35. </
s
>
<
s
xml:id
="
echoid-s5758
"
xml:space
="
preserve
">hoc eſt, inclinationis ad Me-
<
lb
/>
ridianum, ad aliud, inuenietur hic ferè ſinus 28678 {1/2}, cuius arcus grad. </
s
>
<
s
xml:id
="
echoid-s5759
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s5760
"
xml:space
="
preserve
">min. </
s
>
<
s
xml:id
="
echoid-s5761
"
xml:space
="
preserve
">40. </
s
>
<
s
xml:id
="
echoid-s5762
"
xml:space
="
preserve
">altitudinem
<
lb
/>
poli ſupra planum propoſitum dimetitur.</
s
>
<
s
xml:id
="
echoid-s5763
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5764
"
xml:space
="
preserve
">SIMILITER ponatur arcus Meridiani inter planum, & </
s
>
<
s
xml:id
="
echoid-s5765
"
xml:space
="
preserve
">polum poſitus grad. </
s
>
<
s
xml:id
="
echoid-s5766
"
xml:space
="
preserve
">90. </
s
>
<
s
xml:id
="
echoid-s5767
"
xml:space
="
preserve
">vt contin
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0120-04
"
xlink:href
="
note-0120-04a
"
xml:space
="
preserve
">Exemplum ſe-
<
lb
/>
cundum.</
note
>
git, quando planum & </
s
>
<
s
xml:id
="
echoid-s5768
"
xml:space
="
preserve
">Aequator in vno eodemq́; </
s
>
<
s
xml:id
="
echoid-s5769
"
xml:space
="
preserve
">puncto Meridianum interſecant: </
s
>
<
s
xml:id
="
echoid-s5770
"
xml:space
="
preserve
">Inclinatio ve-
<
lb
/>
rò plani ad Meridianum grad. </
s
>
<
s
xml:id
="
echoid-s5771
"
xml:space
="
preserve
">66. </
s
>
<
s
xml:id
="
echoid-s5772
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s5773
"
xml:space
="
preserve
">47. </
s
>
<
s
xml:id
="
echoid-s5774
"
xml:space
="
preserve
">Itaque ſi fiat vt 100000. </
s
>
<
s
xml:id
="
echoid-s5775
"
xml:space
="
preserve
">ſinus totus ad 100000. </
s
>
<
s
xml:id
="
echoid-s5776
"
xml:space
="
preserve
">ſinũ
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0120-05
"
xlink:href
="
note-0120-05a
"
xml:space
="
preserve
">30</
note
>
arcus inter planum, & </
s
>
<
s
xml:id
="
echoid-s5777
"
xml:space
="
preserve
">polum, ita 91902. </
s
>
<
s
xml:id
="
echoid-s5778
"
xml:space
="
preserve
">ſinus inclinationis ad Meridianum, ad aliud, inuenietur
<
lb
/>
idem ſinus 91902. </
s
>
<
s
xml:id
="
echoid-s5779
"
xml:space
="
preserve
">cuius arcus grad. </
s
>
<
s
xml:id
="
echoid-s5780
"
xml:space
="
preserve
">66. </
s
>
<
s
xml:id
="
echoid-s5781
"
xml:space
="
preserve
">Min. </
s
>
<
s
xml:id
="
echoid-s5782
"
xml:space
="
preserve
">47. </
s
>
<
s
xml:id
="
echoid-s5783
"
xml:space
="
preserve
">altitudinem poli ſupra planum propoſitum con
<
lb
/>
tinet. </
s
>
<
s
xml:id
="
echoid-s5784
"
xml:space
="
preserve
">Vbi vides altitudinem poli ſupra planum ęqualem eſſe inclinationi eius ad Meridianum:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5785
"
xml:space
="
preserve
">quoniam quando planum, & </
s
>
<
s
xml:id
="
echoid-s5786
"
xml:space
="
preserve
">Aequator in eodem puncto Meridianum interſecant, idem arcus
<
lb
/>
circuli maximi per polos mundi, & </
s
>
<
s
xml:id
="
echoid-s5787
"
xml:space
="
preserve
">per polos plani ducti metitur & </
s
>
<
s
xml:id
="
echoid-s5788
"
xml:space
="
preserve
">altitudinem poli ſupra pla-
<
lb
/>
num, & </
s
>
<
s
xml:id
="
echoid-s5789
"
xml:space
="
preserve
">inclinationem eiuſdem plani ad Meridianum, vt perſpicuum eſt, cum per propoſ. </
s
>
<
s
xml:id
="
echoid-s5790
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s5791
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s5792
"
xml:space
="
preserve
">
<
lb
/>
1. </
s
>
<
s
xml:id
="
echoid-s5793
"
xml:space
="
preserve
">Theod. </
s
>
<
s
xml:id
="
echoid-s5794
"
xml:space
="
preserve
">ſit rectus ad planum inclinatum. </
s
>
<
s
xml:id
="
echoid-s5795
"
xml:space
="
preserve
">Hinc enim fit, vt metiatur altitudinem poli ſupra pla-
<
lb
/>
num, veluti proprius quidam Meridianus ipſius plani inclinati. </
s
>
<
s
xml:id
="
echoid-s5796
"
xml:space
="
preserve
">Idem quoque circulus maximus
<
lb
/>
menſurat inclinationem eiuſdem plani ad Meridianum, quia rectus quoque eſt ad Meridianum; </
s
>
<
s
xml:id
="
echoid-s5797
"
xml:space
="
preserve
">
<
lb
/>
quod ita planum fiet. </
s
>
<
s
xml:id
="
echoid-s5798
"
xml:space
="
preserve
">Quoniam enim tranſit per polos plani, & </
s
>
<
s
xml:id
="
echoid-s5799
"
xml:space
="
preserve
">per polos Aequatoris, tranſibunt
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0120-06
"
xlink:href
="
note-0120-06a
"
xml:space
="
preserve
">40</
note
>
quoque viciſsim planum propoſitum, & </
s
>
<
s
xml:id
="
echoid-s5800
"
xml:space
="
preserve
">Aequator per illius polos, ex ſcholio propoſ. </
s
>
<
s
xml:id
="
echoid-s5801
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s5802
"
xml:space
="
preserve
">libri 1.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5803
"
xml:space
="
preserve
">Theodoſij. </
s
>
<
s
xml:id
="
echoid-s5804
"
xml:space
="
preserve
">Quare puncta, vbi ſe interſecant planum, & </
s
>
<
s
xml:id
="
echoid-s5805
"
xml:space
="
preserve
">Aequator in Meridiano, poli ſunt illius
<
lb
/>
circuli, ac proinde Meridianus per hos polos ductus, erit per propoſ. </
s
>
<
s
xml:id
="
echoid-s5806
"
xml:space
="
preserve
">15. </
s
>
<
s
xml:id
="
echoid-s5807
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s5808
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s5809
"
xml:space
="
preserve
">Theodoſij, ad illum
<
lb
/>
rectus. </
s
>
<
s
xml:id
="
echoid-s5810
"
xml:space
="
preserve
">Igitur & </
s
>
<
s
xml:id
="
echoid-s5811
"
xml:space
="
preserve
">viciſſim ille ad Meridianum rectus erit, quod erat oſtendendum.</
s
>
<
s
xml:id
="
echoid-s5812
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5813
"
xml:space
="
preserve
">EODEM modo ſupra planum ad Meridianum tantum inclinatum, quod nimirum per ver
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0120-07
"
xlink:href
="
note-0120-07a
"
xml:space
="
preserve
">Quando planũ
<
lb
/>
ad Meridianũ
<
lb
/>
tan tum inclina
<
lb
/>
tum eſt. Vel ad
<
lb
/>
Meridianum &
<
lb
/>
Horizõtem, re-
<
lb
/>
ctum autem ad
<
lb
/>
Verti@alem.</
note
>
<
figure
xlink:label
="
fig-0120-02
"
xlink:href
="
fig-0120-02a
"
number
="
86
">
<
image
file
="
0120-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0120-02
"/>
</
figure
>
ticem loci tranſit, altitudo poli in-
<
lb
/>
uenietur, nec non ſupra planum,
<
lb
/>
quod ad Verticalem circulum eſt
<
lb
/>
rectum, & </
s
>
<
s
xml:id
="
echoid-s5814
"
xml:space
="
preserve
">tam ad Meridianum,
<
lb
/>
quam ad Horizõtem inclinatum.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5815
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-0120-08
"
xlink:href
="
note-0120-08a
"
xml:space
="
preserve
">50</
note
>
Cuiuſmodi eſt planum, quod per
<
lb
/>
communes ſectiones Horizontis,
<
lb
/>
ac Meridiani incedit. </
s
>
<
s
xml:id
="
echoid-s5816
"
xml:space
="
preserve
">Id quod faci
<
lb
/>
le intelligi poteſt ex his duabus ſi-
<
lb
/>
guris, in quarum priori Verticalis
<
lb
/>
eſt k L, planum ad Meridianum
<
lb
/>
tantum inclinatum E F, tranſiens
<
lb
/>
per verticem G, ſiue polum Hori
<
lb
/>
zontis, ac propterea rectum exi-
<
lb
/>
ſtens ad Horizontem, ita vtarcus
<
lb
/>
Meridiani G H, inter planum & </
s
>
<
s
xml:id
="
echoid-s5817
"
xml:space
="
preserve
">polum æqualis ſit complemento altitudinis poli ſupra </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>