Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
Scan
Original
61
25
62
63
26
64
65
27
66
67
22
68
69
29
70
71
30
72
73
37
74
75
32
76
77
25
78
79
34
80
81
35
82
83
36
84
85
37
86
87
38
88
89
39
90
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
(10)
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div39
"
type
="
section
"
level
="
1
"
n
="
21
">
<
p
>
<
s
xml:id
="
echoid-s555
"
xml:space
="
preserve
">
<
pb
o
="
10
"
file
="
0031
"
n
="
31
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
æqualis magnitudini f a; </
s
>
<
s
xml:id
="
echoid-s556
"
xml:space
="
preserve
">ſitq, ipſi f æqualis n: </
s
>
<
s
xml:id
="
echoid-s557
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s558
"
xml:space
="
preserve
">ipſi a æ-
<
lb
/>
qualis i. </
s
>
<
s
xml:id
="
echoid-s559
"
xml:space
="
preserve
">magnitudinis autem f a grauitas ſit b: </
s
>
<
s
xml:id
="
echoid-s560
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s561
"
xml:space
="
preserve
">magni-
<
lb
/>
tudinis n i grauitas o r; </
s
>
<
s
xml:id
="
echoid-s562
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s563
"
xml:space
="
preserve
">ipſius i ſit r. </
s
>
<
s
xml:id
="
echoid-s564
"
xml:space
="
preserve
">magnitudo igi-
<
lb
/>
tur f a ad n i eam proportionem habet, quam grauitas b
<
lb
/>
ad grauitatem or. </
s
>
<
s
xml:id
="
echoid-s565
"
xml:space
="
preserve
">Sed quoniam magnitudo f a in humi-
<
lb
/>
dum demiſſa leuior eſt humido; </
s
>
<
s
xml:id
="
echoid-s566
"
xml:space
="
preserve
">patet tantam humidi mo-
<
lb
/>
lem, quanta eſt pars magnitudin_i_s demerſa, eandem quam
<
lb
/>
magnitudo f a habere grauitatem. </
s
>
<
s
xml:id
="
echoid-s567
"
xml:space
="
preserve
">hoc enim ſuperius de-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0031-01
"
xlink:href
="
note-0031-01a
"
xml:space
="
preserve
">5. priml
<
lb
/>
huius.</
note
>
monſtratum eſt. </
s
>
<
s
xml:id
="
echoid-s568
"
xml:space
="
preserve
">Atipſi a reſpondet humidum i, cuius qui
<
lb
/>
dem grauitas eſt r; </
s
>
<
s
xml:id
="
echoid-s569
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s570
"
xml:space
="
preserve
">ipſius f a grauitas b. </
s
>
<
s
xml:id
="
echoid-s571
"
xml:space
="
preserve
">ergo b graui-
<
lb
/>
tas eius, quod habet molem æqualem toti magnitudini
<
lb
/>
f a, æqualis erit grauitati humidi i, uidelicetipſi r. </
s
>
<
s
xml:id
="
echoid-s572
"
xml:space
="
preserve
">Et quo
<
lb
/>
niam ut magnitudo f a ad humidum n i ſibi reſpondens,
<
lb
/>
ita eſt b ad o r: </
s
>
<
s
xml:id
="
echoid-s573
"
xml:space
="
preserve
">eſt autem b æqualis ipſi r: </
s
>
<
s
xml:id
="
echoid-s574
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s575
"
xml:space
="
preserve
">utr ad o r, ita
<
lb
/>
i ad n i; </
s
>
<
s
xml:id
="
echoid-s576
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s577
"
xml:space
="
preserve
">a ad f a. </
s
>
<
s
xml:id
="
echoid-s578
"
xml:space
="
preserve
">Sequitur ut f a ad humidum æqualis
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0031-02
"
xlink:href
="
note-0031-02a
"
xml:space
="
preserve
">11. quinta
<
unsure
/>
</
note
>
molis eam in grauitate proportionem habeat, quam ma-
<
lb
/>
gnitudo a habet ad f a. </
s
>
<
s
xml:id
="
echoid-s579
"
xml:space
="
preserve
">quod demonſtrare oportebat.</
s
>
<
s
xml:id
="
echoid-s580
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div41
"
type
="
section
"
level
="
1
"
n
="
22
">
<
head
xml:id
="
echoid-head27
"
xml:space
="
preserve
">PROPOSITIO II.</
head
>
<
p
>
<
s
xml:id
="
echoid-s581
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Recta</
emph
>
portio conoidis rectanguli, quando
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0031-03
"
xlink:href
="
note-0031-03a
"
xml:space
="
preserve
">A</
note
>
axem habuerit minorem, quam ſeſquialterum
<
lb
/>
eius, quæ uſque ad axem, quamcunque propor-
<
lb
/>
tionem habens ad humidum in grauitate; </
s
>
<
s
xml:id
="
echoid-s582
"
xml:space
="
preserve
">demiſ
<
lb
/>
ſa in humidum, ita ut baſis ipſius humidum non
<
lb
/>
contingat; </
s
>
<
s
xml:id
="
echoid-s583
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s584
"
xml:space
="
preserve
">poſita inelinata, non manebit incli
<
lb
/>
nata; </
s
>
<
s
xml:id
="
echoid-s585
"
xml:space
="
preserve
">ſed recta reſtituetur. </
s
>
<
s
xml:id
="
echoid-s586
"
xml:space
="
preserve
">Rectam dico conſi-
<
lb
/>
ſtere talem portionem, quando planum quod ip
<
lb
/>
ſam ſecuit, ſuperficiei humidi fuerit æquidiſtans.</
s
>
<
s
xml:id
="
echoid-s587
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s588
"
xml:space
="
preserve
">SIT portio rectanguli conoidis, qualis dicta eſt; </
s
>
<
s
xml:id
="
echoid-s589
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s590
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>