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
91
40
92
93
41
94
95
42
96
97
43
98
99
44
100
101
43
102
103
104
105
106
107
108
109
110
111
112
113
1
114
115
2
116
117
3
118
119
4
120
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div268
"
type
="
section
"
level
="
1
"
n
="
91
">
<
p
>
<
s
xml:id
="
echoid-s4609
"
xml:space
="
preserve
">
<
pb
file
="
0184
"
n
="
184
"
rhead
="
FED. COMMANDINI
"/>
itemq; </
s
>
<
s
xml:id
="
echoid-s4610
"
xml:space
="
preserve
">ſimilia triangula a b c, e f g; </
s
>
<
s
xml:id
="
echoid-s4611
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4612
"
xml:space
="
preserve
">a c d, e g h. </
s
>
<
s
xml:id
="
echoid-s4613
"
xml:space
="
preserve
">idcir-
<
lb
/>
coq; </
s
>
<
s
xml:id
="
echoid-s4614
"
xml:space
="
preserve
">latera ſibi ipſis reſpondentia eandem inter ſe ſe pro-
<
lb
/>
portionem ſeruant. </
s
>
<
s
xml:id
="
echoid-s4615
"
xml:space
="
preserve
">Vt igitur duplum lateris a b unà
<
lb
/>
cum latere e f ad duplum lateris e f unà cum a b, ita eſt
<
lb
/>
duplum a d late-
<
lb
/>
<
figure
xlink:label
="
fig-0184-01
"
xlink:href
="
fig-0184-01a
"
number
="
136
">
<
image
file
="
0184-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0184-01
"/>
</
figure
>
ris unà cum late-
<
lb
/>
re e h ad duplum
<
lb
/>
e h unà cum a d:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4616
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4617
"
xml:space
="
preserve
">ita in aliis. </
s
>
<
s
xml:id
="
echoid-s4618
"
xml:space
="
preserve
">
<
lb
/>
Rurſus fruſtum
<
lb
/>
a g ad pyramidẽ,
<
lb
/>
cuius eadem eſt
<
lb
/>
bafis, & </
s
>
<
s
xml:id
="
echoid-s4619
"
xml:space
="
preserve
">æqualis
<
lb
/>
altitudo eandem
<
lb
/>
proportionẽ ha
<
lb
/>
bet, quam fruſtũ
<
lb
/>
l f ad pyramidẽ,
<
lb
/>
quæ eſt eadẽ ba-
<
lb
/>
ſi, & </
s
>
<
s
xml:id
="
echoid-s4620
"
xml:space
="
preserve
">æquali alti-
<
lb
/>
tudine: </
s
>
<
s
xml:id
="
echoid-s4621
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4622
"
xml:space
="
preserve
">ſimili-
<
lb
/>
ter quam l h fru-
<
lb
/>
ſtum ad pyrami-
<
lb
/>
dem, quæ ex ea-
<
lb
/>
dẽ baſi, & </
s
>
<
s
xml:id
="
echoid-s4623
"
xml:space
="
preserve
">æquali
<
lb
/>
altitudine con-
<
lb
/>
ſtat. </
s
>
<
s
xml:id
="
echoid-s4624
"
xml:space
="
preserve
">nam ſi inter
<
lb
/>
ipſas baſes me-
<
lb
/>
diæ proportio-
<
lb
/>
nales conſtituan
<
lb
/>
tur, tres baſes ſimul ſumptæ ad maiorem baſim in om-
<
lb
/>
nibus eodem modo ſe habebunt. </
s
>
<
s
xml:id
="
echoid-s4625
"
xml:space
="
preserve
">Vnde fit, ut axes K l,
<
lb
/>
q r, t u à punctis p s x in eandem proportionem ſecen-
<
lb
/>
tur. </
s
>
<
s
xml:id
="
echoid-s4626
"
xml:space
="
preserve
">ergo linea x s per p tranſibit: </
s
>
<
s
xml:id
="
echoid-s4627
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s4628
"
xml:space
="
preserve
">lineæ r u, s x, q t in-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0184-01
"
xlink:href
="
note-0184-01a
"
xml:space
="
preserve
">2. ſexti.</
note
>
ter ſe æquidiſtantes erunt. </
s
>
<
s
xml:id
="
echoid-s4629
"
xml:space
="
preserve
">Itaque cum fruſti a g latera </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>