Valerio, Luca
,
De centro gravitatis solidorum
,
1604
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
043/01/241.jpg
"
pagenum
="
62
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
ALITER.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Dico hemiſphærij, vel hemiſphæroidis ABC cen
<
lb
/>
trum grauitatis eſſe G. </
s
>
<
s
>In plano enim ſemicirculi, vel ſe
<
lb
/>
miellipſis per axem BD deſcriptæ intelligantur duæ pa
<
lb
/>
rabolæ, quarum diametri AD, DC, & communiter
<
lb
/>
ad vtranque ordinatim applicata ſit BD: & connectun
<
lb
/>
tur rectæ AB, BC: ſumptis autem in BD tribus qui
<
lb
/>
buslibet punctis, æqualia axis ſegmenta XF, FY interci
<
lb
/>
pientibus, ſecent per ea puncta tres figuras hemiſphærium,
<
lb
/>
vel hemiſphæroides ABC, & ſemicirculum, vel ſemielli
<
lb
/>
<
figure
id
="
id.043.01.241.1.jpg
"
xlink:href
="
043/01/241/1.jpg
"
number
="
177
"/>
<
lb
/>
pſim per axem, & figuram planam ARBSC, quæ lineis pa
<
lb
/>
rabolicis ARB, BSC, & recta AC continetur, pla
<
lb
/>
na quædam baſi hemiſphærij, vel hemiſphæroidis paralle
<
lb
/>
la. </
s
>
<
s
>Erunt igitur ſectiones hemiſphærij, vel hemiſphæroidis
<
lb
/>
circuli, vel ellipſes ſimiles baſi,
<
expan
abbr
="
quarũ
">quarum</
expan
>
diametri ſint KXH,
<
lb
/>
LFM, N
<
foreign
lang
="
grc
">Υ</
foreign
>
O: figuræ autem ARBSC ſectiones rectæ
<
lb
/>
lineæ PXQ, RFS, TYV. </
s
>
<
s
>Quoniamigitur per IV hu
<
lb
/>
ius eſt vt KH ad LM potentia, ita KQ ad FS hoc
<
lb
/>
eſt in earum duplis PQ ad RS longitudine; erit vt PQ
<
lb
/>
ad RS, ita circulus, vel ellipſis KH ad circulum vel ſi
<
lb
/>
milem ellipſim LM. </
s
>
<
s
>Eadem ratione erit vt RS ad
<
lb
/>
TV, ita circulus, vel ellipſis LM ad circulum, vel </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>