Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 101
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000260
">
<
pb
xlink:href
="
023/01/028.jpg
"/>
centrum z: parallelogrammi ad,
<
foreign
lang
="
grc
">θ·</
foreign
>
parallelogrammi fg,
<
foreign
lang
="
grc
">φ·</
foreign
>
<
lb
/>
<
figure
id
="
id.023.01.028.1.jpg
"
xlink:href
="
023/01/028/1.jpg
"
number
="
20
"/>
<
lb
/>
parallelogrammi dh,
<
foreign
lang
="
grc
">χ·</
foreign
>
&
<
lb
/>
parallelogrammi cg
<
expan
abbr
="
centrũ
">centrum</
expan
>
<
lb
/>
<
foreign
lang
="
grc
">ψ·</
foreign
>
atque erit
<
foreign
lang
="
grc
">ω</
foreign
>
punctum me
<
lb
/>
dium uniuſcuiuſque axis, ui
<
lb
/>
delicet eius lineæ quæ oppo
<
lb
/>
ſitorum
<
expan
abbr
="
planorũ
">planorum</
expan
>
centra con
<
lb
/>
iungit. </
s
>
<
s
id
="
s.000261
">Dico
<
foreign
lang
="
grc
">ω</
foreign
>
centrum eſſe
<
lb
/>
grauitatis ipſius ſolidi. </
s
>
<
s
id
="
s.000262
">eſt
<
lb
/>
<
arrow.to.target
n
="
marg34
"/>
<
lb
/>
enim, ut demonſtrauimus,
<
lb
/>
ſolidi af centrum grauitatis
<
lb
/>
in plano Kn; quod oppoſi
<
lb
/>
tis planis ad, gf æquidiſtans
<
lb
/>
reliquorum planorum late
<
lb
/>
ra bifariam diuidit: & ſimili
<
lb
/>
ratione idem centrum eſt in plano or, æquidiſtante planis
<
lb
/>
ae, bf oppoſitis. </
s
>
<
s
id
="
s.000263
">ergo in communi ipſorum ſectione: ui
<
lb
/>
delicet in linea yz. </
s
>
<
s
id
="
s.000264
">Sed eſt etiam in plano tu, quod
<
expan
abbr
="
quidẽ
">quidem</
expan
>
<
lb
/>
yz ſecatin
<
foreign
lang
="
grc
">ω.</
foreign
>
Conſtat igitur centrum grauitatis ſolidi eſſe
<
lb
/>
punctum
<
foreign
lang
="
grc
">ω,</
foreign
>
medium ſcilicet axium, hoc eſt linearum, quæ
<
lb
/>
planorum oppoſitorum centra coniungunt.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000265
">
<
margin.target
id
="
marg34
"/>
6 huius</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000266
">Sit aliud prima af; & in eo plana, quæ opponuntur, tri
<
lb
/>
angula abc, def:
<
expan
abbr
="
diuiſisq;
">diuiſisque</
expan
>
bifariam parallelogrammorum
<
lb
/>
lateribus ad, be, cf in punctis ghk, per diuiſiones
<
expan
abbr
="
planũ
">planum</
expan
>
<
lb
/>
ducatur, quod oppoſitis planis æquidiſtans faciet
<
expan
abbr
="
ſectionẽ
">ſectionem</
expan
>
<
lb
/>
triangulum ghx æquale, & ſimile ipſis abc, def. </
s
>
<
s
id
="
s.000267
">Rurſus
<
lb
/>
diuidatur ab bifariam in l: & iuncta cl per ipſam, & per
<
lb
/>
cKf planum ducatur priſma ſecans, cuius, &
<
expan
abbr
="
parallelogrã
">parallelogram</
expan
>
<
lb
/>
mi ae communis ſectio ſit lmn. </
s
>
<
s
id
="
s.000268
">diuidet punctum m li
<
lb
/>
neam gh bifariam; & ita n diuidet lineam de: quoniam
<
lb
/>
<
arrow.to.target
n
="
marg35
"/>
<
lb
/>
triangula acl, gkm, dfn æqualia ſunt, & ſimilia, ut ſupra
<
lb
/>
demonſtrauimus. </
s
>
<
s
id
="
s.000269
">Iam ex iis, quæ tradita ſunt, conſtat cen
<
lb
/>
trum grauitatis priſmatis in plano ghk contineri. </
s
>
<
s
id
="
s.000270
">Dico
<
lb
/>
ipſum eſſe in linea km. </
s
>
<
s
id
="
s.000271
">Si enim fieri poteſt, ſit o centrum; </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>