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
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
91
40
92
93
41
94
95
42
96
97
43
98
99
44
100
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 213
>
page
|<
<
(11)
of 213
>
>|
DE CENTRO GRA VIT. SOLID.
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
type
="
section
"
level
="
1
"
n
="
73
">
<
p
>
<
s
xml:space
="
preserve
">
<
pb
o
="
11
"
file
="
0133
"
n
="
133
"
rhead
="
DE CENTRO GRA VIT. SOLID.
"/>
& </
s
>
<
s
xml:space
="
preserve
">per o ducatur o p ad k m ipſi h g æquidiſtans. </
s
>
<
s
xml:space
="
preserve
">Itaque li
<
lb
/>
nea h m bifariã uſque eò diuidatur, quoad reliqua ſit pars
<
lb
/>
quædam q m, minor o p. </
s
>
<
s
xml:space
="
preserve
">deinde h m, m g diuidantur in
<
lb
/>
partes æ quales ipſi m q: </
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">per diuiſiones lineæ ipſi m K
<
lb
/>
æ quidiſtantes ducantur. </
s
>
<
s
xml:space
="
preserve
">puncta uero, in quibus hæ trian-
<
lb
/>
gulorum latera ſecant, coniungantur ductis lineis r s, t u,
<
lb
/>
<
anchor
type
="
figure
"
xlink:label
="
fig-0133-01a
"
xlink:href
="
fig-0133-01
"/>
x y; </
s
>
<
s
xml:space
="
preserve
">quæ baſi g h æquidiſtabunt. </
s
>
<
s
xml:space
="
preserve
">Quoniam enim lineæ g z,
<
lb
/>
h α ſunt æ quales: </
s
>
<
s
xml:space
="
preserve
">itemq; </
s
>
<
s
xml:space
="
preserve
">æquales g m, m h: </
s
>
<
s
xml:space
="
preserve
">ut m g ad g z,
<
lb
/>
ita erit m h, ad h α: </
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">diuidendo, ut m z ad z g, ita m α ad
<
lb
/>
α h. </
s
>
<
s
xml:space
="
preserve
">Sed ut m z ad z g, ita k r ad r g: </
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">ut m α ad α h, ita k s
<
lb
/>
<
anchor
type
="
note
"
xlink:label
="
note-0133-01a
"
xlink:href
="
note-0133-01
"/>
ad s h. </
s
>
<
s
xml:space
="
preserve
">quare ut κ r ad r g, ita k s ad s h. </
s
>
<
s
xml:space
="
preserve
">æ quidiſtant igitur
<
lb
/>
<
anchor
type
="
note
"
xlink:label
="
note-0133-02a
"
xlink:href
="
note-0133-02
"/>
inter ſe ſe r s, g h. </
s
>
<
s
xml:space
="
preserve
">eadem quoque ratione demonſtrabimus
<
lb
/>
<
anchor
type
="
note
"
xlink:label
="
note-0133-03a
"
xlink:href
="
note-0133-03
"/>
</
s
>
</
p
>
</
div
>
</
text
>
</
echo
>