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
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 213
>
31
(10)
32
33
(11)
34
35
(12)
36
37
(13)
38
39
(14)
40
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 213
>
page
|<
<
of 213
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div55
"
type
="
section
"
level
="
1
"
n
="
25
">
<
pb
file
="
0040
"
n
="
40
"
rhead
="
ARCHIMEDIS
"/>
</
div
>
<
div
xml:id
="
echoid-div57
"
type
="
section
"
level
="
1
"
n
="
26
">
<
head
xml:id
="
echoid-head31
"
xml:space
="
preserve
">COMMENTARIVS.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s821
"
xml:space
="
preserve
">_Sit ei, quæ uſque ad axem æqualis r h.</
s
>
<
s
xml:id
="
echoid-s822
"
xml:space
="
preserve
">]_ Ita legendum eſt,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0040-01
"
xlink:href
="
note-0040-01a
"
xml:space
="
preserve
">A</
note
>
non r m, ut tranſlatio habet, quod ex ijs, quæ ſequuntur, manifeſte
<
lb
/>
conſtare poteſt.</
s
>
<
s
xml:id
="
echoid-s823
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s824
"
xml:space
="
preserve
">_Et oh dupla ipſius h m.</
s
>
<
s
xml:id
="
echoid-s825
"
xml:space
="
preserve
">]_ In tranſlatione mendoſe legeba-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0040-02
"
xlink:href
="
note-0040-02a
"
xml:space
="
preserve
">B</
note
>
tur, on dupla ipſius rm.</
s
>
<
s
xml:id
="
echoid-s826
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s827
"
xml:space
="
preserve
">Hoc enim ſupra demonſtratum eſt.</
s
>
<
s
xml:id
="
echoid-s828
"
xml:space
="
preserve
">] _In prima huius_.</
s
>
<
s
xml:id
="
echoid-s829
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">C</
note
>
<
p
>
<
s
xml:id
="
echoid-s830
"
xml:space
="
preserve
">Et quam proportionem habet demerſa portio ad totã,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0040-04
"
xlink:href
="
note-0040-04a
"
xml:space
="
preserve
">D</
note
>
eam quadratum p f habet ad n o quadratum.</
s
>
<
s
xml:id
="
echoid-s831
"
xml:space
="
preserve
">] _Hoc loco in_
<
lb
/>
_tranſlatione non nulli deſider abantur, quænos reſtituimus. </
s
>
<
s
xml:id
="
echoid-s832
"
xml:space
="
preserve
">Illud au_
<
lb
/>
_tem ab Archimede demonſtratum eſt in libro de conoidibus & </
s
>
<
s
xml:id
="
echoid-s833
"
xml:space
="
preserve
">ſphæ_
<
lb
/>
_roidibus propoſitione_ 26.</
s
>
<
s
xml:id
="
echoid-s834
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s835
"
xml:space
="
preserve
">_Quare p f non eſt minor ipſa m o.</
s
>
<
s
xml:id
="
echoid-s836
"
xml:space
="
preserve
">]_ Nam ex decima quinti
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0040-05
"
xlink:href
="
note-0040-05a
"
xml:space
="
preserve
">E</
note
>
ſequitur, quadratum p f non eſſe minus quadrato m o. </
s
>
<
s
xml:id
="
echoid-s837
"
xml:space
="
preserve
">quare neque
<
lb
/>
linea p f minor erit linea m o ex 22 ſexti.</
s
>
<
s
xml:id
="
echoid-s838
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s839
"
xml:space
="
preserve
">_Nec b p item minor h o.</
s
>
<
s
xml:id
="
echoid-s840
"
xml:space
="
preserve
">]_ Eſt enim ut p f ad p b, ita m o,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0040-06
"
xlink:href
="
note-0040-06a
"
xml:space
="
preserve
">F</
note
>
ad h o & </
s
>
<
s
xml:id
="
echoid-s841
"
xml:space
="
preserve
">permutando, ut p f ad mo, ita b p, ad b o. </
s
>
<
s
xml:id
="
echoid-s842
"
xml:space
="
preserve
">ſed p f non
<
lb
/>
est minor m o, ut oſtenſiim cst. </
s
>
<
s
xml:id
="
echoid-s843
"
xml:space
="
preserve
">ergo neque b p ipſa h o minor erit.</
s
>
<
s
xml:id
="
echoid-s844
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">14. quinti</
note
>
<
p
>
<
s
xml:id
="
echoid-s845
"
xml:space
="
preserve
">Si igitur ab h
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0040-08
"
xlink:href
="
note-0040-08a
"
xml:space
="
preserve
">G</
note
>
<
figure
xlink:label
="
fig-0040-01
"
xlink:href
="
fig-0040-01a
"
number
="
24
">
<
image
file
="
0040-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0040-01
"/>
</
figure
>
ducatur linea ad
<
lb
/>
rectos angulos ip
<
lb
/>
ſi n o, coibit cum
<
lb
/>
b p, atque inter
<
lb
/>
b & </
s
>
<
s
xml:id
="
echoid-s846
"
xml:space
="
preserve
">p cadet.</
s
>
<
s
xml:id
="
echoid-s847
"
xml:space
="
preserve
">]
<
lb
/>
_Corruptus erat hic_
<
lb
/>
_locus in tranſlatio-_
<
lb
/>
_ne. </
s
>
<
s
xml:id
="
echoid-s848
"
xml:space
="
preserve
">Illud uero ita de-_
<
lb
/>
_monſtr abitur. </
s
>
<
s
xml:id
="
echoid-s849
"
xml:space
="
preserve
">Quo-_
<
lb
/>
_niam p f non eſt mi-_
<
lb
/>
_nor o m, nec p b ip-_
<
lb
/>
_ſa h o; </
s
>
<
s
xml:id
="
echoid-s850
"
xml:space
="
preserve
">ſi ponatur p f_
<
lb
/>
_æqualis o m; </
s
>
<
s
xml:id
="
echoid-s851
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s852
"
xml:space
="
preserve
">p b,_
<
lb
/>
_ipſi h o æqualis erit._</
s
>
<
s
xml:id
="
echoid-s853
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>