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 Notes
<
1 - 7
[out of range]
>
[Note]
Page: 76
[Note]
Page: 76
[Note]
Page: 76
[Note]
Page: 77
[Note]
Page: 77
[Note]
Page: 78
[Note]
Page: 78
[Note]
Page: 78
[Note]
Page: 78
[Note]
Page: 79
[Note]
Page: 79
[Note]
Page: 79
[Note]
Page: 80
[Note]
Page: 81
[Note]
Page: 82
[Note]
Page: 83
[Note]
Page: 83
[Note]
Page: 83
[Note]
Page: 84
[Note]
Page: 84
[Note]
Page: 84
[Note]
Page: 84
[Note]
Page: 85
[Note]
Page: 87
[Note]
Page: 87
[Note]
Page: 88
[Note]
Page: 89
[Note]
Page: 89
[Note]
Page: 89
[Note]
Page: 90
<
1 - 7
[out of range]
>
page
|<
<
(123)
of 525
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div303
"
type
="
section
"
level
="
1
"
n
="
103
">
<
p
>
<
s
xml:id
="
echoid-s5746
"
xml:space
="
preserve
">
<
pb
o
="
123
"
file
="
159
"
n
="
160
"
rhead
="
Ioan. de Sacro Boſco.
"/>
@IE, graue aliquod deſcendat ad centrum Vniuerſi E. </
s
>
<
s
xml:id
="
echoid-s5747
"
xml:space
="
preserve
">Ducta enim ſemidiame-
<
lb
/>
tro terræ FIK, erit rurſus angulus B I D, in ſuperficie terræ minor angulo
<
lb
/>
BIL@ Sola illa pondera, quæ feruntur per lineam rectam, (quod pauciſſimis in
<
lb
/>
locis contingeret) quæ extenditur per centrum grauitatis, ſeu Vniuerſi, & </
s
>
<
s
xml:id
="
echoid-s5748
"
xml:space
="
preserve
">per
<
lb
/>
centrum magnitudinis terræ, nimirum per lineam A D F E, uel C L E E, ad an-
<
lb
/>
gulos æquales incidunt in terræ ſuperficiem, & </
s
>
<
s
xml:id
="
echoid-s5749
"
xml:space
="
preserve
">præter hæc nulla alia, vt demõ
<
lb
/>
ſtrauimus. </
s
>
<
s
xml:id
="
echoid-s5750
"
xml:space
="
preserve
">Quod cum pugnet cum experientia, & </
s
>
<
s
xml:id
="
echoid-s5751
"
xml:space
="
preserve
">Ariſtotele, dicendũ erit, cen-
<
lb
/>
trum magnitudiuis in terra idẽ eſſe, quod centrũ grauitatis, ſeu Vniuerſi; </
s
>
<
s
xml:id
="
echoid-s5752
"
xml:space
="
preserve
">adeo
<
lb
/>
vt è quocunque loco grauia demittantur, ad centrum terræ ferantur: </
s
>
<
s
xml:id
="
echoid-s5753
"
xml:space
="
preserve
">Hac enim
<
lb
/>
ſola ratione conſtituentur in ſuperficie anguli æquales, quos experientia do-
<
lb
/>
cet æquales debere eſſe. </
s
>
<
s
xml:id
="
echoid-s5754
"
xml:space
="
preserve
">Idem omnino iudicium habendum eſt de centro ma-
<
lb
/>
gnitudinis in aqua, eademq́; </
s
>
<
s
xml:id
="
echoid-s5755
"
xml:space
="
preserve
">adhiberi poteſt demonſtratio, dummodo circulis
<
lb
/>
DGL, referat globum aquæ, cuius centrum eſt F. </
s
>
<
s
xml:id
="
echoid-s5756
"
xml:space
="
preserve
">Quemadmodum enim perpen
<
lb
/>
dicula inſiſtunt ſuperficiei terræ ad angulos æquales, ita quoq; </
s
>
<
s
xml:id
="
echoid-s5757
"
xml:space
="
preserve
">eadem angulos
<
lb
/>
æquales efficiunt cum aquæ ſuperficie. </
s
>
<
s
xml:id
="
echoid-s5758
"
xml:space
="
preserve
">Propria tamen, ac peculiari ratione con
<
lb
/>
firmari poteſt, in aqua idem eſſe centrum grauitatis, & </
s
>
<
s
xml:id
="
echoid-s5759
"
xml:space
="
preserve
">magnitudinis. </
s
>
<
s
xml:id
="
echoid-s5760
"
xml:space
="
preserve
">Cũ enim
<
lb
/>
aqua nõ impedita ad loca decliuiora ſuapte natura ſemper confluat, vt experiẽ
<
lb
/>
tia oſtendit, neceſſe eſt, eius ſuperficiẽ conuexam æqualiter recedere à centro
<
lb
/>
grauitatis: </
s
>
<
s
xml:id
="
echoid-s5761
"
xml:space
="
preserve
">Atqui punctum illud, à quo omnes partes conuexæ diſtant æquali-
<
lb
/>
ter, eſt, per deſinitionem, centrum magnitudinis. </
s
>
<
s
xml:id
="
echoid-s5762
"
xml:space
="
preserve
">Nõ poteſt ergo diuerſum eſſe
<
lb
/>
centrũ grauitatis a cẽtro magnitudinis aquæ. </
s
>
<
s
xml:id
="
echoid-s5763
"
xml:space
="
preserve
">Probatur autẽ maior: </
s
>
<
s
xml:id
="
echoid-s5764
"
xml:space
="
preserve
">Si enim cõ-
<
lb
/>
uexa ſuperficies aquæ ex una parte magis recederet à cẽtro grauitatis, ſiue Vni
<
lb
/>
uerſi, quàm ex alia, pars illa magis à centro grauitatis remota non deflueret ad
<
lb
/>
locum decliuiorẽ, qui proculdubio eſt ille, qui pro pinquior exiſtit cẽtro grau@
<
lb
/>
@atis, uel Vniuerſi, ut ex figura prima huius quæſtionis apparet, in qua centrum
<
lb
/>
magnitudinis terræ idẽ eſt, quod centrũ Mũdi; </
s
>
<
s
xml:id
="
echoid-s5765
"
xml:space
="
preserve
">centrũ autẽ magnitudinis aquæ
<
lb
/>
diſtinctũ. </
s
>
<
s
xml:id
="
echoid-s5766
"
xml:space
="
preserve
">Quod cum ſit abſurdum, & </
s
>
<
s
xml:id
="
echoid-s5767
"
xml:space
="
preserve
">cum aquæ natura pugnet, efficitur, idem
<
lb
/>
eſſe centrũ magnitudinis, & </
s
>
<
s
xml:id
="
echoid-s5768
"
xml:space
="
preserve
">grauitatis in aqua. </
s
>
<
s
xml:id
="
echoid-s5769
"
xml:space
="
preserve
">quod oſtendendum erat. </
s
>
<
s
xml:id
="
echoid-s5770
"
xml:space
="
preserve
">Quã
<
lb
/>
obrẽ concludendũ eſt, cũ terra, & </
s
>
<
s
xml:id
="
echoid-s5771
"
xml:space
="
preserve
">aqua idẽ habeant centrũ grauitatis, @empe to
<
lb
/>
tius Vniuerſi, ad quod naturaliter uergunt, quodq; </
s
>
<
s
xml:id
="
echoid-s5772
"
xml:space
="
preserve
">demonſtratum eſt non diſ-
<
lb
/>
ferre à centro magnitudinis utriuſq; </
s
>
<
s
xml:id
="
echoid-s5773
"
xml:space
="
preserve
">elementi, unam ſphæram, ſeu globum ex
<
lb
/>
utroq. </
s
>
<
s
xml:id
="
echoid-s5774
"
xml:space
="
preserve
">c
<
unsure
/>
lemento componi, & </
s
>
<
s
xml:id
="
echoid-s5775
"
xml:space
="
preserve
">nequaquam duos globos mutuo ſeſe interſecãtes</
s
>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">2. ratio.</
note
>
<
p
>
<
s
xml:id
="
echoid-s5776
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Secvndo</
emph
>
demonftrabimus, terram & </
s
>
<
s
xml:id
="
echoid-s5777
"
xml:space
="
preserve
">aquam habere unam & </
s
>
<
s
xml:id
="
echoid-s5778
"
xml:space
="
preserve
">ean-
<
lb
/>
dem ſuperficiem conuexam, & </
s
>
<
s
xml:id
="
echoid-s5779
"
xml:space
="
preserve
">ex conſequentiidem centrum, multis experi-
<
lb
/>
mentis Aſtronomorum. </
s
>
<
s
xml:id
="
echoid-s5780
"
xml:space
="
preserve
">Sicut enim Sol, & </
s
>
<
s
xml:id
="
echoid-s5781
"
xml:space
="
preserve
">rellquæ ſtellæ ciuitati, quæ altera
<
lb
/>
orientalior eſt quindecim gradibus, ſpatio vnius horæ citius oriuntur, & </
s
>
<
s
xml:id
="
echoid-s5782
"
xml:space
="
preserve
">ad
<
lb
/>
medium cœli perueniunt, & </
s
>
<
s
xml:id
="
echoid-s5783
"
xml:space
="
preserve
">occidunt, quæ vero orientalior exiſtit triginta gra
<
lb
/>
dibus, ſpatio duarum horarum, &</
s
>
<
s
xml:id
="
echoid-s5784
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s5785
"
xml:space
="
preserve
">in quocunque tractu terræ ab ortu in occa-
<
lb
/>
ſum reperiantur illæ ciuitates, dummodo ſub eodem parallelo collocentur; </
s
>
<
s
xml:id
="
echoid-s5786
"
xml:space
="
preserve
">ſi@
<
lb
/>
etiam nautæ peritiſſimi compertũ habent, idẽ accidere in mari, & </
s
>
<
s
xml:id
="
echoid-s5787
"
xml:space
="
preserve
">Oceano. </
s
>
<
s
xml:id
="
echoid-s5788
"
xml:space
="
preserve
">Na-
<
lb
/>
@igantes etenim ad occidẽtaliores plagas, ut ex Luſitania v.</
s
>
<
s
xml:id
="
echoid-s5789
"
xml:space
="
preserve
">g. </
s
>
<
s
xml:id
="
echoid-s5790
"
xml:space
="
preserve
">in Americam ſeu
<
lb
/>
Hiſpaniam nouam, præcipue ad illam pr@uinciam, quæ Florida nuncupatur,
<
lb
/>
poſtquam progreſſi ſunt quindecim gradibus, repererunt manifeſtiſſimis ſignis
<
lb
/>
maxime ex eclipſi Lunari, Solem ac reliquas ſtellas integ@a hora citius orir@
<
lb
/>
in Luſitania, & </
s
>
<
s
xml:id
="
echoid-s5791
"
xml:space
="
preserve
">occidere@idemq́ue proportione eadem per totum Oceanum ab
<
lb
/>
ortu verſus occaſum contingere obſeruarunt. </
s
>
<
s
xml:id
="
echoid-s5792
"
xml:space
="
preserve
">Hoc autem nullo pacto fieri poſ-
<
lb
/>
@et, niſi ſuperficies conuexa maris uniformiter continuaretur cum conuexa
<
lb
/>
@uperficie terræ, ut omnibus Geometris notiſſimum eſt. </
s
>
<
s
xml:id
="
echoid-s5793
"
xml:space
="
preserve
">Si enim </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>