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
161
25
162
163
26
164
165
27
166
167
28
168
169
29
170
171
30
172
173
31
174
175
32
176
177
33
178
179
34
180
181
35
182
183
36
184
185
37
186
187
38
188
189
39
190
<
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-div113
"
type
="
section
"
level
="
1
"
n
="
39
">
<
p
>
<
s
xml:id
="
echoid-s1646
"
xml:space
="
preserve
">
<
pb
file
="
0068
"
n
="
68
"
rhead
="
ARCHIMEDIS
"/>
_erit conuertendo tota portio ad partem ipſius demerſam, ut quadrd-_
<
lb
/>
_tum b d ad exceſſum, quo quadratum f q excedit. </
s
>
<
s
xml:id
="
echoid-s1647
"
xml:space
="
preserve
">quare per conuer-_
<
lb
/>
_ſionem rationis tota portio ad eam, quæ extra humidum est ut_
<
lb
/>
_qu.</
s
>
<
s
xml:id
="
echoid-s1648
"
xml:space
="
preserve
">idratum b d ad quadratum f q: </
s
>
<
s
xml:id
="
echoid-s1649
"
xml:space
="
preserve
">nam quadratum b d tanto maius_
<
lb
/>
_est exceſſu, quo excedit quadratum f q, quantum est ipſum f q qua-_
<
lb
/>
_dratum_.</
s
>
<
s
xml:id
="
echoid-s1650
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1651
"
xml:space
="
preserve
">_Quoniam quæ ex parte 1 deorſum, quæ uero ex parte a_
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-01
"
xlink:href
="
note-0068-01a
"
xml:space
="
preserve
">F</
note
>
_ſurſum ferentur.</
s
>
<
s
xml:id
="
echoid-s1652
"
xml:space
="
preserve
">]_ Hæc nos ita correximus, nam in translatione
<
lb
/>
mendoſe, ut opinor, legebatur, quoniam quæ ex parte l ad ſuperiora
<
lb
/>
ferentur, perpendicularis enim quæ tranſit per z ad partes l, & </
s
>
<
s
xml:id
="
echoid-s1653
"
xml:space
="
preserve
">quæ
<
lb
/>
per g ad partes a cadit. </
s
>
<
s
xml:id
="
echoid-s1654
"
xml:space
="
preserve
">quare centrum z unà cum p. </
s
>
<
s
xml:id
="
echoid-s1655
"
xml:space
="
preserve
">trtibus ijs, quæ
<
lb
/>
ſunt ad l deorſum feretur, centrum uero g unà cum partibus quæ ad
<
lb
/>
a ſurſum.</
s
>
<
s
xml:id
="
echoid-s1656
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1657
"
xml:space
="
preserve
">Similiter demonſtrabitur non manere portionem, ſed
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-02
"
xlink:href
="
note-0068-02a
"
xml:space
="
preserve
">G</
note
>
inclinari, donec utique axis cum ſuperficie humidi faciat
<
lb
/>
angulum angulo b æqualem.</
s
>
<
s
xml:id
="
echoid-s1658
"
xml:space
="
preserve
">] _Illud uero tum ex ijs, quæ in an_
<
lb
/>
_tecedenti dicta ſunt, tum ex figuris, quas appoſuimus, facile demon-_
<
lb
/>
_strari potest._</
s
>
<
s
xml:id
="
echoid-s1659
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div120
"
type
="
section
"
level
="
1
"
n
="
40
">
<
head
xml:id
="
echoid-head45
"
xml:space
="
preserve
">PROPOSITIO X.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1660
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Recta</
emph
>
portio conoidis rectanguli, quando
<
lb
/>
leuior humido axem habuerit maiorem, quàm
<
lb
/>
ut ad eam, quæ uſque ad axem proportionem ha-
<
lb
/>
beat, quam quindecim ad quatuor: </
s
>
<
s
xml:id
="
echoid-s1661
"
xml:space
="
preserve
">in humidum
<
lb
/>
demiſſa, ita ut baſis ipſius non contingat humi-
<
lb
/>
dum: </
s
>
<
s
xml:id
="
echoid-s1662
"
xml:space
="
preserve
">non nunquam quidem recta conſiſtet; </
s
>
<
s
xml:id
="
echoid-s1663
"
xml:space
="
preserve
">non
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-03
"
xlink:href
="
note-0068-03a
"
xml:space
="
preserve
">A</
note
>
nunquam inclinata: </
s
>
<
s
xml:id
="
echoid-s1664
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1665
"
xml:space
="
preserve
">interdum adeo inclinata,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-04
"
xlink:href
="
note-0068-04a
"
xml:space
="
preserve
">B</
note
>
ut baſis ipſius in uno puncto contingat ſuperfi-
<
lb
/>
ciem humidi: </
s
>
<
s
xml:id
="
echoid-s1666
"
xml:space
="
preserve
">idq; </
s
>
<
s
xml:id
="
echoid-s1667
"
xml:space
="
preserve
">in duabus diſpoſitionibus:</
s
>
<
s
xml:id
="
echoid-s1668
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>