Clavius, Christoph
,
In Sphaeram Ioannis de Sacro Bosco commentarius
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of handwritten notes
<
1 - 7
[out of range]
>
<
1 - 7
[out of range]
>
page
|<
<
(117)
of 525
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div300
"
type
="
section
"
level
="
1
"
n
="
102
">
<
p
>
<
s
xml:id
="
echoid-s5522
"
xml:space
="
preserve
">
<
pb
o
="
117
"
file
="
153
"
n
="
154
"
rhead
="
Ioan. de Sacro Boſco.
"/>
æquales eſſe, cum per
<
lb
/>
<
figure
xlink:label
="
fig-153-01
"
xlink:href
="
fig-153-01a
"
number
="
47
">
<
image
file
="
153-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/153-01
"/>
</
figure
>
A B, & </
s
>
<
s
xml:id
="
echoid-s5523
"
xml:space
="
preserve
">quamcunque
<
lb
/>
aliam lineam rectam
<
lb
/>
ex A, ad datam ſuper-
<
lb
/>
ficiem ductã duci poſ
<
lb
/>
ſit planum faciens cir
<
lb
/>
culũ in ſuperficie pro
<
lb
/>
poſita. </
s
>
<
s
xml:id
="
echoid-s5524
"
xml:space
="
preserve
">Quamobrẽ om
<
lb
/>
nes rectæ inter ſe æ-
<
lb
/>
quales erunt, ac pro-
<
lb
/>
inde ſuperficies ſphæ-
<
lb
/>
rica erit, cuius centrum A.</
s
>
<
s
xml:id
="
echoid-s5525
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5526
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Intelligatvr</
emph
>
iã humor aliquis, ſiue liquor cõſiſtẽs, manensq́; </
s
>
<
s
xml:id
="
echoid-s5527
"
xml:space
="
preserve
">cu-
<
lb
/>
ius ſuperficies ſecetur plano per D, centrũ terræ ducto faciente lineã in ſuꝑficie
<
lb
/>
EFGH. </
s
>
<
s
xml:id
="
echoid-s5528
"
xml:space
="
preserve
">Dico lineã EFGH, circunferentiã circuli eſſe, cuius centrũ D. </
s
>
<
s
xml:id
="
echoid-s5529
"
xml:space
="
preserve
">Si. </
s
>
<
s
xml:id
="
echoid-s5530
"
xml:space
="
preserve
">n. </
s
>
<
s
xml:id
="
echoid-s5531
"
xml:space
="
preserve
">non
<
lb
/>
eſt, nõ erunt oẽs rectæ lineæ ductæ ex D, ad lineã EFGH, inter ſe æquales. </
s
>
<
s
xml:id
="
echoid-s5532
"
xml:space
="
preserve
">Sint
<
lb
/>
ergo DE, DG, inæquales, & </
s
>
<
s
xml:id
="
echoid-s5533
"
xml:space
="
preserve
">DG, maior, quã DE; </
s
>
<
s
xml:id
="
echoid-s5534
"
xml:space
="
preserve
">ducaturq́; </
s
>
<
s
xml:id
="
echoid-s5535
"
xml:space
="
preserve
">inter has recta DF,
<
lb
/>
maior quidẽ, quàm DE, minor uero, quàm DG. </
s
>
<
s
xml:id
="
echoid-s5536
"
xml:space
="
preserve
">Deſcripto aũt in plano ſecante
<
lb
/>
ex D, ad interuallũ DF, circulo IFKH, qui neceſſario rectã DE, ultra punctũ E,
<
lb
/>
in puncto I, & </
s
>
<
s
xml:id
="
echoid-s5537
"
xml:space
="
preserve
">rectã DG, infra punctũ G, in puncto K, ſecabit; </
s
>
<
s
xml:id
="
echoid-s5538
"
xml:space
="
preserve
">fiant in D, duo an
<
lb
/>
guli æquales FDI, FDG, deſcribaturq́; </
s
>
<
s
xml:id
="
echoid-s5539
"
xml:space
="
preserve
">in liquore, & </
s
>
<
s
xml:id
="
echoid-s5540
"
xml:space
="
preserve
">in plano circuli IFk H, cir-
<
lb
/>
culus LMN. </
s
>
<
s
xml:id
="
echoid-s5541
"
xml:space
="
preserve
">Partes ergo humoris prope circunferentiã LMN, æqualiter iacẽt,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s5542
"
xml:space
="
preserve
">continuatæ inter ſe, cũ æqualiter a centro D, diſtent, quarũ eæ, quæ ſunt iux
<
lb
/>
ta circunferentiã MN, magis premuntur à liquore prope FG, quàm illæ iuxta
<
lb
/>
circunferẽtiã LM, a liquore prope EF, cũ ille grauior ſit, quã hic, ut patet. </
s
>
<
s
xml:id
="
echoid-s5543
"
xml:space
="
preserve
">Qua-
<
lb
/>
re partes iuxta LM, a partibus iuxta MN, expellentur: </
s
>
<
s
xml:id
="
echoid-s5544
"
xml:space
="
preserve
">ac propterea humor non
<
lb
/>
conſiſter. </
s
>
<
s
xml:id
="
echoid-s5545
"
xml:space
="
preserve
">Ponebatur autem conſiſtens, & </
s
>
<
s
xml:id
="
echoid-s5546
"
xml:space
="
preserve
">manens. </
s
>
<
s
xml:id
="
echoid-s5547
"
xml:space
="
preserve
">quod eſt abſurdum. </
s
>
<
s
xml:id
="
echoid-s5548
"
xml:space
="
preserve
">Linea er-
<
lb
/>
go EFGH, circuli circunferentia eſt, cuius centrum D. </
s
>
<
s
xml:id
="
echoid-s5549
"
xml:space
="
preserve
">Similiter demonſtrabi-
<
lb
/>
tur, ſi quomodocunque aliter ſuperficies liquoris plano ſecta fuerit per D, cen
<
lb
/>
trũ terræ, ſectionem circunferentiam eſſe circuli, cuius centrũ D. </
s
>
<
s
xml:id
="
echoid-s5550
"
xml:space
="
preserve
">Igitur ut pau-
<
lb
/>
lo ante oſtendimus, ſuperficies ipſa ſphęrica erit, cuius centrum D, idem, quod
<
lb
/>
terræ: </
s
>
<
s
xml:id
="
echoid-s5551
"
xml:space
="
preserve
">quandoquidẽ eiuſmodi eſt, utſecta ſemper per centrũ terræ faciat circu
<
lb
/>
li circunferentiam centrũ habentis centrum terræ, quod erat demonſtrandum.</
s
>
<
s
xml:id
="
echoid-s5552
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div303
"
type
="
section
"
level
="
1
"
n
="
103
">
<
head
xml:id
="
echoid-head107
"
style
="
it
"
xml:space
="
preserve
">AN EX TERRA, ET AQVA VNVS FIAT GLO-
<
lb
/>
bus, hoc eſt, an horum elementorum conuexæ ſuperficies
<
lb
/>
idem habeant centrum.</
head
>
<
p
>
<
s
xml:id
="
echoid-s5553
"
xml:space
="
preserve
">
<
emph
style
="
sc
">QVamvis</
emph
>
ab auctore recte ſit probatum, tam terrã, quàm aquam
<
lb
/>
eſſe rotundam, in dubium tamen à nonnullis uertitur, an hæc duo
<
lb
/>
elementa ita ſint rotunda, ac ſphærica, ut unicũ conſtituant globũ,
<
lb
/>
vel(quod idẽ eſt) unũ, & </
s
>
<
s
xml:id
="
echoid-s5554
"
xml:space
="
preserve
">idẽ habeant centrũ. </
s
>
<
s
xml:id
="
echoid-s5555
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Q</
emph
>
uidam enim aſſerũt,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-153-01
"
xlink:href
="
note-153-01a
"
xml:space
="
preserve
">Sententi@
<
lb
/>
corum, qui
<
lb
/>
duo contra
<
lb
/>
ponũt, u@@
<
lb
/>
terræ, & a-
<
lb
/>
quę alter@.</
note
>
terram, & </
s
>
<
s
xml:id
="
echoid-s5556
"
xml:space
="
preserve
">aquã nullo modo idẽ habere centrũ, ſed duo diſtincta, ac
<
lb
/>
propterea non effici ex illis unam duntaxat ſphæram, ſed duas. </
s
>
<
s
xml:id
="
echoid-s5557
"
xml:space
="
preserve
">Dicunt nam-
<
lb
/>
que, in principio mundi terram, & </
s
>
<
s
xml:id
="
echoid-s5558
"
xml:space
="
preserve
">aquam rotundas quidem, atq; </
s
>
<
s
xml:id
="
echoid-s5559
"
xml:space
="
preserve
">concentricas,
<
lb
/>
circa centrum nimirum mundi, fuiſſe creatas: </
s
>
<
s
xml:id
="
echoid-s5560
"
xml:space
="
preserve
">Deinde receſſiſſe aquam ex una
<
lb
/>
parte, in oppoſitamq́ partem magno tumore congregatam fuiſſe, exiſtente in-
<
lb
/>
terim terra immobili in centro Vniuerſi, Itaque aiunt, ex illa ſegregatione </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>