Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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 - 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 - 532
>
31
(19)
32
(20)
33
(21)
34
(22)
35
(23)
36
(24)
37
(25)
38
(26)
39
(27)
40
(28)
<
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 - 532
>
page
|<
<
(20)
of 532
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div79
"
type
="
section
"
level
="
1
"
n
="
49
">
<
pb
o
="
20
"
file
="
032
"
n
="
32
"
rhead
="
"/>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s707
"
xml:space
="
preserve
">_IN_ ſphæra tranſeat maximus circulus
<
lb
/>
<
figure
xlink:label
="
fig-032-01
"
xlink:href
="
fig-032-01a
"
number
="
27
">
<
image
file
="
032-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/032-01
"/>
</
figure
>
_A B C D,_ per _A, C,_ polos circuli maximi _B D._
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s708
"
xml:space
="
preserve
">_Dico_ & </
s
>
<
s
xml:id
="
echoid-s709
"
xml:space
="
preserve
">maximum circulum _B D,_ per polos ma-
<
lb
/>
ximi circuli _A B C D,_ tranſire. </
s
>
<
s
xml:id
="
echoid-s710
"
xml:space
="
preserve
">Quoniam enim
<
lb
/>
circulus maximus _A B C D,_ circulum _B D,_ ſe-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-01
"
xlink:href
="
note-032-01a
"
xml:space
="
preserve
">15. huius.</
note
>
cat per polos, ſecabit ipſum ad angulos rectos.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s711
"
xml:space
="
preserve
">Quare vicißim maximus circulus _B D,_ circu-
<
lb
/>
lum _A B C D,_ ad angulos rectos ſccabit; </
s
>
<
s
xml:id
="
echoid-s712
"
xml:space
="
preserve
">at-
<
lb
/>
que adeo per ipſius polos eum ſecabit. </
s
>
<
s
xml:id
="
echoid-s713
"
xml:space
="
preserve
">Quod eſt
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-02
"
xlink:href
="
note-032-02a
"
xml:space
="
preserve
">13. huius.</
note
>
pr opoſitum.</
s
>
<
s
xml:id
="
echoid-s714
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div82
"
type
="
section
"
level
="
1
"
n
="
50
">
<
head
xml:id
="
echoid-head61
"
xml:space
="
preserve
">II.</
head
>
<
note
position
="
left
"
xml:space
="
preserve
">22.</
note
>
<
p
>
<
s
xml:id
="
echoid-s715
"
xml:space
="
preserve
">SI in ſphæra circulus circulum per polos ſecet, circulus maxi-
<
lb
/>
mus eſt, & </
s
>
<
s
xml:id
="
echoid-s716
"
xml:space
="
preserve
">bifariam eum ſecat, & </
s
>
<
s
xml:id
="
echoid-s717
"
xml:space
="
preserve
">ad angulos rectos.</
s
>
<
s
xml:id
="
echoid-s718
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s719
"
xml:space
="
preserve
">_IN_ ſphæra circulus _A B C D,_ ſecet circu-
<
lb
/>
<
figure
xlink:label
="
fig-032-02
"
xlink:href
="
fig-032-02a
"
number
="
28
">
<
image
file
="
032-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/032-02
"/>
</
figure
>
lum _B D,_ per polos _A, C._ </
s
>
<
s
xml:id
="
echoid-s720
"
xml:space
="
preserve
">Dico ipſum eſſe circu-
<
lb
/>
culum maximum, ſecareq́; </
s
>
<
s
xml:id
="
echoid-s721
"
xml:space
="
preserve
">circulum _B D,_ bifa-
<
lb
/>
riam, & </
s
>
<
s
xml:id
="
echoid-s722
"
xml:space
="
preserve
">ad angulos rectos. </
s
>
<
s
xml:id
="
echoid-s723
"
xml:space
="
preserve
">Coniungat enim re-
<
lb
/>
cta _A C,_ polos _A, C,_ quæ neceſſario in plano
<
lb
/>
circuli _A B C D,_ erit, quod circunferentia eius
<
lb
/>
per eoſdem polos _A, C,_ ponatur tranſire. </
s
>
<
s
xml:id
="
echoid-s724
"
xml:space
="
preserve
">Quo-
<
lb
/>
niam vero recta _A C,_ per _A, C,_ polos circuli
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-04
"
xlink:href
="
note-032-04a
"
xml:space
="
preserve
">10. huius.</
note
>
_B D,_ ducta tranſit per centrum ſphæræ, tranſi-
<
lb
/>
bit quoque cir culus _A B C D,_ (cum per rectã
<
lb
/>
_A C,_ ducatur) per centrũ ſphæræ; </
s
>
<
s
xml:id
="
echoid-s725
"
xml:space
="
preserve
">atque adeo
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-05
"
xlink:href
="
note-032-05a
"
xml:space
="
preserve
">6. huius.</
note
>
maximus erit. </
s
>
<
s
xml:id
="
echoid-s726
"
xml:space
="
preserve
">Quare cum per _A, C,_ polos cir
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-06
"
xlink:href
="
note-032-06a
"
xml:space
="
preserve
">15. huius.</
note
>
culi _B D,_ ponatur tranſire, ſecabit eum bifariam, & </
s
>
<
s
xml:id
="
echoid-s727
"
xml:space
="
preserve
">ad angulos rectos. </
s
>
<
s
xml:id
="
echoid-s728
"
xml:space
="
preserve
">Quod eſt
<
lb
/>
propoſitum.</
s
>
<
s
xml:id
="
echoid-s729
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div84
"
type
="
section
"
level
="
1
"
n
="
51
">
<
head
xml:id
="
echoid-head62
"
xml:space
="
preserve
">III.</
head
>
<
p
>
<
s
xml:id
="
echoid-s730
"
xml:space
="
preserve
">SI in ſphæra circulus circulum bifariam, & </
s
>
<
s
xml:id
="
echoid-s731
"
xml:space
="
preserve
">ad angulos rectos
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-07
"
xlink:href
="
note-032-07a
"
xml:space
="
preserve
">23.</
note
>
ſecet, circulus maximus eſt, & </
s
>
<
s
xml:id
="
echoid-s732
"
xml:space
="
preserve
">per polos eum ſecat.</
s
>
<
s
xml:id
="
echoid-s733
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s734
"
xml:space
="
preserve
">_IN_ſphæra circulus _A B C D,_ ſecet circulum
<
lb
/>
<
figure
xlink:label
="
fig-032-03
"
xlink:href
="
fig-032-03a
"
number
="
29
">
<
image
file
="
032-03
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/032-03
"/>
</
figure
>
_B D,_ bifariam, & </
s
>
<
s
xml:id
="
echoid-s735
"
xml:space
="
preserve
">ad angulos rectos. </
s
>
<
s
xml:id
="
echoid-s736
"
xml:space
="
preserve
">_Dico_ ipſum
<
lb
/>
eſſe circulum maximum, tranſireq́; </
s
>
<
s
xml:id
="
echoid-s737
"
xml:space
="
preserve
">per polos cir-
<
lb
/>
culi _B D._ </
s
>
<
s
xml:id
="
echoid-s738
"
xml:space
="
preserve
">Sit recta _BD;_ </
s
>
<
s
xml:id
="
echoid-s739
"
xml:space
="
preserve
">communis circu lorum ſe-
<
lb
/>
etio. </
s
>
<
s
xml:id
="
echoid-s740
"
xml:space
="
preserve
">Quo niam igitur circulus _A B C D,_ circu-
<
lb
/>
lum _B D,_ ſecat bifariam, erit recta _B D,_ nempe
<
lb
/>
communis ſectio circulorũ, diameter circuli B D,
<
lb
/>
atque adeo diuiſa recta _B D,_ bifari am in E: </
s
>
<
s
xml:id
="
echoid-s741
"
xml:space
="
preserve
">erit
<
lb
/>
E, eiuſdem circuli centrum. </
s
>
<
s
xml:id
="
echoid-s742
"
xml:space
="
preserve
">Ducatur in plano cir
<
lb
/>
culi _A B C D,_ recta E A, perpendicularis ad re
<
lb
/>
etam _B D._ </
s
>
<
s
xml:id
="
echoid-s743
"
xml:space
="
preserve
">Et quoniam circulus _A B C D,_ </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>