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
Table of Notes
<
1 - 8
[out of range]
>
[Note]
Page: 48
[Note]
Page: 48
[Note]
Page: 49
[Note]
Page: 49
[Note]
Page: 49
[Note]
Page: 52
[Note]
Page: 52
[Note]
Page: 52
[Note]
Page: 52
[Note]
Page: 53
[Note]
Page: 53
[Note]
Page: 55
[Note]
Page: 56
[Note]
Page: 56
[Note]
Page: 57
[Note]
Page: 57
[Note]
Page: 57
[Note]
Page: 57
[Note]
Page: 58
[Note]
Page: 58
[Note]
Page: 58
[Note]
Page: 58
[Note]
Page: 58
[Note]
Page: 58
[Note]
Page: 58
[Note]
Page: 59
[Note]
Page: 60
[Note]
Page: 60
[Note]
Page: 60
[Note]
Page: 61
<
1 - 8
[out of range]
>
page
|<
<
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div158
"
type
="
section
"
level
="
1
"
n
="
52
">
<
p
>
<
s
xml:id
="
echoid-s2195
"
xml:space
="
preserve
">
<
pb
file
="
0086
"
n
="
86
"
rhead
="
ARCHIMEDIS
"/>
ipſi my æquidiſtans. </
s
>
<
s
xml:id
="
echoid-s2196
"
xml:space
="
preserve
">Demonſtrandum eſt portionem in
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0086-01
"
xlink:href
="
note-0086-01a
"
xml:space
="
preserve
">G</
note
>
humidum demiſſam, inclinatamq; </
s
>
<
s
xml:id
="
echoid-s2197
"
xml:space
="
preserve
">adeo, ut baſis ipſius nõ
<
lb
/>
contingat humidum, inclinatam conſiſtere ita, ut baſis ſu-
<
lb
/>
perficiem humidi nullo modo contingat: </
s
>
<
s
xml:id
="
echoid-s2198
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2199
"
xml:space
="
preserve
">axis cum ea fa
<
lb
/>
ciat angulum angulo χ maiorem. </
s
>
<
s
xml:id
="
echoid-s2200
"
xml:space
="
preserve
">Demittatur enim in hu-
<
lb
/>
midum, conſiſtatq; </
s
>
<
s
xml:id
="
echoid-s2201
"
xml:space
="
preserve
">ita, ut baſis ipſius in uno puncto cõtin
<
lb
/>
gat humidi ſuperficiem: </
s
>
<
s
xml:id
="
echoid-s2202
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2203
"
xml:space
="
preserve
">ſecta ipſa portione per axem,
<
lb
/>
plano ad humidi ſuperficiem recto; </
s
>
<
s
xml:id
="
echoid-s2204
"
xml:space
="
preserve
">ſuperficiei quidẽ por-
<
lb
/>
tionis ſectio ſit a p o l rectanguli coni ſectio: </
s
>
<
s
xml:id
="
echoid-s2205
"
xml:space
="
preserve
">ſuperficiei
<
lb
/>
humidi ſectio ſit a o: </
s
>
<
s
xml:id
="
echoid-s2206
"
xml:space
="
preserve
">axis autem portionis, & </
s
>
<
s
xml:id
="
echoid-s2207
"
xml:space
="
preserve
">ſectionis dia
<
lb
/>
meter b d: </
s
>
<
s
xml:id
="
echoid-s2208
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2209
"
xml:space
="
preserve
">ſecetur b d in punctis k r, ut dictum eſt: </
s
>
<
s
xml:id
="
echoid-s2210
"
xml:space
="
preserve
">du-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0086-02
"
xlink:href
="
note-0086-02a
"
xml:space
="
preserve
">H</
note
>
catur etiam p g æquidiſtans ipſi a o, quæ ſectionem a p o l
<
lb
/>
contingat in p: </
s
>
<
s
xml:id
="
echoid-s2211
"
xml:space
="
preserve
">atque ab eo puncto ducatur p t æquidiſtãs
<
lb
/>
ipſi b d; </
s
>
<
s
xml:id
="
echoid-s2212
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2213
"
xml:space
="
preserve
">p s ad b d perpendicularis. </
s
>
<
s
xml:id
="
echoid-s2214
"
xml:space
="
preserve
">Itaque quoniam
<
lb
/>
portio ad humidum in grauitate eam proportionem ha-
<
lb
/>
bet, quam qua-
<
lb
/>
<
figure
xlink:label
="
fig-0086-01
"
xlink:href
="
fig-0086-01a
"
number
="
53
">
<
image
file
="
0086-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0086-01
"/>
</
figure
>
dratũ, quod fit
<
lb
/>
à linea χ ad qua
<
lb
/>
dratum b d: </
s
>
<
s
xml:id
="
echoid-s2215
"
xml:space
="
preserve
">quã
<
lb
/>
uero proportio
<
lb
/>
nem habet por-
<
lb
/>
tio ad humidũ,
<
lb
/>
eandem pars ip
<
lb
/>
ſius demerſa ha
<
lb
/>
bet ad totã por
<
lb
/>
tionẽ: </
s
>
<
s
xml:id
="
echoid-s2216
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2217
"
xml:space
="
preserve
">quam
<
lb
/>
pars demerſa ad
<
lb
/>
totam, eandem
<
lb
/>
habet quadra-
<
lb
/>
tum t p ad b d
<
lb
/>
quadratum: </
s
>
<
s
xml:id
="
echoid-s2218
"
xml:space
="
preserve
">erit
<
lb
/>
linea ψ æqualis
<
lb
/>
ipſi t p. </
s
>
<
s
xml:id
="
echoid-s2219
"
xml:space
="
preserve
">quare & </
s
>
<
s
xml:id
="
echoid-s2220
"
xml:space
="
preserve
">lineæ m n, p t; </
s
>
<
s
xml:id
="
echoid-s2221
"
xml:space
="
preserve
">itemq, portiones a m q,
<
lb
/>
a p o inter ſe ſunt æquales. </
s
>
<
s
xml:id
="
echoid-s2222
"
xml:space
="
preserve
">Quòd cumin portionibus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0086-03
"
xlink:href
="
note-0086-03a
"
xml:space
="
preserve
">K</
note
>
</
s
>
</
p
>
</
div
>
</
text
>
</
echo
>