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
Table of handwritten notes
<
1 - 3
[out of range]
>
<
1 - 3
[out of range]
>
page
|<
<
(46)
of 532
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div175
"
type
="
section
"
level
="
1
"
n
="
91
">
<
p
>
<
s
xml:id
="
echoid-s1730
"
xml:space
="
preserve
">
<
pb
o
="
46
"
file
="
058
"
n
="
58
"
rhead
="
"/>
E, F, polos parallelorum tranſeuntium, intercepti inter parallelos A B, H I,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-058-01
"
xlink:href
="
note-058-01a
"
xml:space
="
preserve
">10. huius.</
note
>
æquales, ac propterea exiſtente B H, quadrante per conſtructionem, erit & </
s
>
<
s
xml:id
="
echoid-s1731
"
xml:space
="
preserve
">
<
lb
/>
L M, quadrans. </
s
>
<
s
xml:id
="
echoid-s1732
"
xml:space
="
preserve
">Polo igitur L, interuallo autem L M, circulus deſcribatur
<
lb
/>
M N, qui maximus erit, quòd recta ſubtendens quadrantem L M, æqualis
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-058-02
"
xlink:href
="
note-058-02a
"
xml:space
="
preserve
">17. i. huius.</
note
>
ſit lateri quadrati in maximo circulo deſcripti. </
s
>
<
s
xml:id
="
echoid-s1733
"
xml:space
="
preserve
">Quoniam vero maximus cir
<
lb
/>
culus K L, tranſit per L, polum maximi circuli N M, tranſibit viciſsim ma-
<
lb
/>
ximus circulus N M, per G, polum circuli K L: </
s
>
<
s
xml:id
="
echoid-s1734
"
xml:space
="
preserve
">atque ita tranſit maximus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-058-03
"
xlink:href
="
note-058-03a
"
xml:space
="
preserve
">Scho. 15. 1.
<
lb
/>
huius.</
note
>
circulus N M, per datum punctum G. </
s
>
<
s
xml:id
="
echoid-s1735
"
xml:space
="
preserve
">Dico iam eundem tangere circulum
<
lb
/>
A B, in M. </
s
>
<
s
xml:id
="
echoid-s1736
"
xml:space
="
preserve
">Quoniã enim circuli A B, G N, in eodem puncto M, ſecãt maximũ
<
lb
/>
circulum E F, in quo polos habent, ipſi ſe mutuo tangent in M. </
s
>
<
s
xml:id
="
echoid-s1737
"
xml:space
="
preserve
">Deſcriptus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-058-04
"
xlink:href
="
note-058-04a
"
xml:space
="
preserve
">8. huius.</
note
>
eſt ergo per G, circulus maximus G N, tangens circulum A B, in M. </
s
>
<
s
xml:id
="
echoid-s1738
"
xml:space
="
preserve
">Quare
<
lb
/>
circulo in ſphæra dato, &</
s
>
<
s
xml:id
="
echoid-s1739
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s1740
"
xml:space
="
preserve
">Quod faciendum erat.</
s
>
<
s
xml:id
="
echoid-s1741
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div177
"
type
="
section
"
level
="
1
"
n
="
92
">
<
head
xml:id
="
echoid-head104
"
xml:space
="
preserve
">SCHOLIVM.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1742
"
xml:space
="
preserve
">_QVOD_ ſi punctum G, datum ſit præciſe in medio arcus _B D,_ erit quadrans _G F._
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1743
"
xml:space
="
preserve
">Polo igitur _G_, interualloq́; </
s
>
<
s
xml:id
="
echoid-s1744
"
xml:space
="
preserve
">_G F,_ circulus deſcriptus _F E,_ ſecabit _H I,_ in _L,_ puncto,
<
lb
/>
quod rurſum erit polus circuli tangentis, vt prius. </
s
>
<
s
xml:id
="
echoid-s1745
"
xml:space
="
preserve
">Si vero _G,_ punctum datum ſit
<
lb
/>
idem, quod _D,_ erit polus circuli tangentis in medio arcus _D C A,_ cum hic arcus ſe-
<
lb
/>
micirculus ſit. </
s
>
<
s
xml:id
="
echoid-s1746
"
xml:space
="
preserve
">Circulus aut em ex illo polo deſcriptus tanget _A B,_ in _A,_ & </
s
>
<
s
xml:id
="
echoid-s1747
"
xml:space
="
preserve
">_C D,_
<
lb
/>
<
figure
xlink:label
="
fig-058-01
"
xlink:href
="
fig-058-01a
"
number
="
65
">
<
image
file
="
058-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/058-01
"/>
</
figure
>
<
note
position
="
left
"
xlink:label
="
note-058-05
"
xlink:href
="
note-058-05a
"
xml:space
="
preserve
">1. huius.</
note
>
in _D_, vt
<
lb
/>
patet: </
s
>
<
s
xml:id
="
echoid-s1748
"
xml:space
="
preserve
">quo
<
lb
/>
niam vi-
<
lb
/>
delicet cir
<
lb
/>
culus hic
<
lb
/>
maximus,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s1749
"
xml:space
="
preserve
">paral.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1750
"
xml:space
="
preserve
">leli _A B,_
<
lb
/>
_C D,_ ſe-
<
lb
/>
cãt in pũ-
<
lb
/>
ctis _A,_ _D,_
<
lb
/>
circunfe-
<
lb
/>
rentiã ma
<
lb
/>
ximi circuli _A C D B,_ in quo polos habent.</
s
>
<
s
xml:id
="
echoid-s1751
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1752
"
xml:space
="
preserve
">_QVONIAM_ vero ſicut _L,_ polus eſt oſtenſus circuli maximi _G N,_ tangentis,
<
lb
/>
circulum _A B,_ ita quoque oſtendi poteſt, aliud punctũ, in quo maximus circulus _K L,_
<
lb
/>
circulum _H I,_ ex altera parte ſecat, polum eſſe alterius cuiuſdam circuli maximi,
<
lb
/>
qui per _G,_ tranſeat, tangatq́; </
s
>
<
s
xml:id
="
echoid-s1753
"
xml:space
="
preserve
">circulum _A B,_ in alio puncto; </
s
>
<
s
xml:id
="
echoid-s1754
"
xml:space
="
preserve
">perſpicuum eſt per pũ-
<
lb
/>
ctum in ſphæra datum inter duos circulos æquales, & </
s
>
<
s
xml:id
="
echoid-s1755
"
xml:space
="
preserve
">parallelos deſcribi poſſe duos
<
lb
/>
circulos maximos, qui circulum _A B,_ tangant in duobus punctis.</
s
>
<
s
xml:id
="
echoid-s1756
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div179
"
type
="
section
"
level
="
1
"
n
="
93
">
<
head
xml:id
="
echoid-head105
"
xml:space
="
preserve
">THEOR. 14. PROPOS. 16.</
head
>
<
note
position
="
left
"
xml:space
="
preserve
">20.</
note
>
<
p
>
<
s
xml:id
="
echoid-s1757
"
xml:space
="
preserve
">MAXIMI circuli, qui ſimiles </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>