Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
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
|<
<
(34)
of 213
>
>|
DE IIS QVAE VEH. IN AQVA.
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
type
="
section
"
level
="
1
"
n
="
46
">
<
p
style
="
it
">
<
s
xml:space
="
preserve
">
<
pb
o
="
34
"
file
="
0079
"
n
="
79
"
rhead
="
DE IIS QVAE VEH. IN AQVA.
"/>
ſectione e f c diuiditur: </
s
>
<
s
xml:space
="
preserve
">pars uero lineæ c a, quæ eſt in-
<
lb
/>
ter duas ſectiones proportione reſpondebit parti lineæ
<
lb
/>
ductæ, quæ itidem inter eaſdem ſectiones interiicitur; </
s
>
<
s
xml:space
="
preserve
">hoc
<
lb
/>
est ut in propoſita figura, ſi producatur d b uſque ad c h
<
lb
/>
in l, ut ſectioni e f c in puncto m occurrat; </
s
>
<
s
xml:space
="
preserve
">lineam l
<
lb
/>
b ad b m eãdem proportionem habere, quàm c e ad e a.</
s
>
<
s
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:space
="
preserve
">Produc. </
s
>
<
s
xml:space
="
preserve
">itur enim
<
lb
/>
<
anchor
type
="
figure
"
xlink:label
="
fig-0079-01a
"
xlink:href
="
fig-0079-01
"/>
q f ad eandem lineá
<
lb
/>
c h in n, ſecás a b c
<
lb
/>
ſectionem in o: </
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">
<
lb
/>
iuncta b c, quæ tran
<
lb
/>
ſibit per f, ut oſten-
<
lb
/>
ſum eſt, erunt trian-
<
lb
/>
gula c g f, c d b ſi-
<
lb
/>
milia: </
s
>
<
s
xml:space
="
preserve
">itémq; </
s
>
<
s
xml:space
="
preserve
">ſimi-
<
lb
/>
lia íter ſe, c f n, c b l.
<
lb
/>
</
s
>
<
s
xml:space
="
preserve
">quare ut g f ad d b,
<
lb
/>
<
anchor
type
="
note
"
xlink:label
="
note-0079-01a
"
xlink:href
="
note-0079-01
"/>
ita erit c f ad c b:
<
lb
/>
</
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">ut c f ad c b, ita
<
lb
/>
f n ad b l. </
s
>
<
s
xml:space
="
preserve
">ergo g f
<
lb
/>
<
anchor
type
="
note
"
xlink:label
="
note-0079-02a
"
xlink:href
="
note-0079-02
"/>
ad d b, ut f n ad b l:
<
lb
/>
</
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">permutando g f
<
lb
/>
ad f n, ut d b ad b l. </
s
>
<
s
xml:space
="
preserve
">
<
lb
/>
eſt autem d b æqua
<
lb
/>
lis ipſi b l ex trigeſi
<
lb
/>
maquinta primi li-
<
lb
/>
<
anchor
type
="
note
"
xlink:label
="
note-0079-03a
"
xlink:href
="
note-0079-03
"/>
bri conicorum. </
s
>
<
s
xml:space
="
preserve
">ergo
<
lb
/>
& </
s
>
<
s
xml:space
="
preserve
">g f ipſi p i æqua
<
lb
/>
lis erit: </
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">ex trige
<
lb
/>
ſimatertia eiuſdem
<
lb
/>
linea c h ſectionem
<
lb
/>
e f c in eodem pun-</
s
>
</
p
>
</
div
>
</
text
>
</
echo
>