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
141
15
142
143
15
144
16
145
17
146
147
18
148
149
19
150
151
20
152
153
21
154
155
22
156
157
23
158
159
24
160
161
25
162
163
26
164
165
27
166
167
28
168
169
29
170
<
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-div226
"
type
="
section
"
level
="
1
"
n
="
75
">
<
p
>
<
s
xml:id
="
echoid-s3694
"
xml:space
="
preserve
">
<
pb
file
="
0146
"
n
="
146
"
rhead
="
FED. COMMANDINI
"/>
partes d. </
s
>
<
s
xml:id
="
echoid-s3695
"
xml:space
="
preserve
">in pyramide igitur inſcripta erit quædam figura,
<
lb
/>
ex priſinatibus æqualem altitudinem habentibus cóſtans,
<
lb
/>
ad partes e: </
s
>
<
s
xml:id
="
echoid-s3696
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3697
"
xml:space
="
preserve
">altera circumſcripta ad partes d. </
s
>
<
s
xml:id
="
echoid-s3698
"
xml:space
="
preserve
">Sed unum-
<
lb
/>
quodque eorum priſmatum, quæ in figura inſcripta conti-
<
lb
/>
nentur, æquale eſt priſmati, quod ab eodem fit triangulo in
<
lb
/>
figura circumſcripta: </
s
>
<
s
xml:id
="
echoid-s3699
"
xml:space
="
preserve
">nam priſma p q priſmati p o eſt æ-
<
lb
/>
quale; </
s
>
<
s
xml:id
="
echoid-s3700
"
xml:space
="
preserve
">priſma s t æquale priſmati s r; </
s
>
<
s
xml:id
="
echoid-s3701
"
xml:space
="
preserve
">priſma x y priſmati
<
lb
/>
x u; </
s
>
<
s
xml:id
="
echoid-s3702
"
xml:space
="
preserve
">priſma η θ priſinati η z; </
s
>
<
s
xml:id
="
echoid-s3703
"
xml:space
="
preserve
">priſina μ ν priſmati μ λ; </
s
>
<
s
xml:id
="
echoid-s3704
"
xml:space
="
preserve
">priſ-
<
lb
/>
ma ρ σ priſmati ρ π; </
s
>
<
s
xml:id
="
echoid-s3705
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3706
"
xml:space
="
preserve
">priſma φ χ priſinati φ τ æquale. </
s
>
<
s
xml:id
="
echoid-s3707
"
xml:space
="
preserve
">re-
<
lb
/>
linquitur ergo, ut circumſcripta figura exuperet inſcriptã
<
lb
/>
priſmate, quod baſim habet a b c triangulum, & </
s
>
<
s
xml:id
="
echoid-s3708
"
xml:space
="
preserve
">axem e f.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3709
"
xml:space
="
preserve
">Illud uero minus eſt ſolida magnitudine propoſita. </
s
>
<
s
xml:id
="
echoid-s3710
"
xml:space
="
preserve
">Eadȩ
<
lb
/>
ratione inſcribetur, & </
s
>
<
s
xml:id
="
echoid-s3711
"
xml:space
="
preserve
">circumſcribetur ſolida figura in py-
<
lb
/>
ramide, quæ quadrilateram, uel plurilaterã baſim habeat.</
s
>
<
s
xml:id
="
echoid-s3712
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div227
"
type
="
section
"
level
="
1
"
n
="
76
">
<
head
xml:id
="
echoid-head83
"
xml:space
="
preserve
">PROBLEMA II. PROPOSITIO XI.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3713
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Dato</
emph
>
cono, fieri poteſt, ut figura ſolida in-
<
lb
/>
ſcribatur, & </
s
>
<
s
xml:id
="
echoid-s3714
"
xml:space
="
preserve
">altera circumſcribatur ex cylindris
<
lb
/>
æqualem habentibus altitudinem, ita ut circum-
<
lb
/>
ſcripta ſuperet inſcriptam, magnitudine, quæ ſo-
<
lb
/>
lida magnitudine propoſita ſit minor.</
s
>
<
s
xml:id
="
echoid-s3715
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3716
"
xml:space
="
preserve
">SIT conus, cuius axis b d: </
s
>
<
s
xml:id
="
echoid-s3717
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3718
"
xml:space
="
preserve
">ſecetur plano per axem
<
lb
/>
ducto, ut ſectio ſit triangulum a b c: </
s
>
<
s
xml:id
="
echoid-s3719
"
xml:space
="
preserve
">intelligaturq; </
s
>
<
s
xml:id
="
echoid-s3720
"
xml:space
="
preserve
">cylin-
<
lb
/>
drus, qui baſim eandem, & </
s
>
<
s
xml:id
="
echoid-s3721
"
xml:space
="
preserve
">eundem axem habeat. </
s
>
<
s
xml:id
="
echoid-s3722
"
xml:space
="
preserve
">Hoc igi-
<
lb
/>
tur cylindro continenter bifariam ſecto, relinquetur cylin
<
lb
/>
drus minor ſolida magnitudine propoſita. </
s
>
<
s
xml:id
="
echoid-s3723
"
xml:space
="
preserve
">Sit autem is cy
<
lb
/>
lindrus, qui baſim habet circulum circa diametrum a c, & </
s
>
<
s
xml:id
="
echoid-s3724
"
xml:space
="
preserve
">
<
lb
/>
axem d e. </
s
>
<
s
xml:id
="
echoid-s3725
"
xml:space
="
preserve
">Itaque diuidatur b d in partes æquales ipſi d e
<
lb
/>
in punctis f g h _K_lm: </
s
>
<
s
xml:id
="
echoid-s3726
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s3727
"
xml:space
="
preserve
">per ea ducantur plana conum ſe-
<
lb
/>
cantia; </
s
>
<
s
xml:id
="
echoid-s3728
"
xml:space
="
preserve
">quæ baſi æquidiſtent. </
s
>
<
s
xml:id
="
echoid-s3729
"
xml:space
="
preserve
">erunt ſectiones circuli, cen-
<
lb
/>
tra in axi habentes, ut in primo libro conicorum, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>