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
="
043/01/116.jpg
"
pagenum
="
29
"/>
<
p
type
="
main
">
<
s
>Sit conoides parabolicum ABC, & cylindrus AE, &
<
lb
/>
conus ABC, quorum omnium ſit eadem baſis circulus,
<
lb
/>
cuins diameter AC, axis autem BD, ac proinde vna om
<
lb
/>
nium altitudo. </
s
>
<
s
>Dico conoidis ABC eſse cylindri AE
<
lb
/>
dimidium, coni autem ABC ſeſquialterum. </
s
>
<
s
>Secto enim
<
lb
/>
axe BD in tot partes æquales, quarum infima ad baſim ſit
<
lb
/>
MD, vt figura ex cylindris æqualium altitudinum conoi
<
lb
/>
di ABC circumſcripta, inſcriptam ſuperet minori ſpacio
<
lb
/>
quantacumque magnitudine propoſita, & ſit hoc factum.
<
lb
/>
</
s
>
<
s
>Et quoniam quibus planis parallelis tranſeuntibus per præ
<
lb
/>
<
figure
id
="
id.043.01.116.1.jpg
"
xlink:href
="
043/01/116/1.jpg
"
number
="
88
"/>
<
lb
/>
dictas ſectiones axis BD ſecatur conoides ABC, ijſdem
<
lb
/>
ſecatur triangulum per axim ABC, eruntque ſectiones
<
lb
/>
parallelæ: ſit triangulo ABC circumſcripta figura ex pa
<
lb
/>
rallelogrammis æqualium altitudinum, quæ triangulum &
<
lb
/>
ipſa excedat minori ſpacio quantacumque magnitudine
<
lb
/>
propoſita. </
s
>
<
s
>Cylindrorum autem qui ſunt circa conoides, &
<
lb
/>
parallelogrammorum multitudine æqualium, quæ ſunt cir
<
lb
/>
ca triangulum ABC, duo proximi baſi AC cylindri ſint
<
lb
/>
AF, HL, & totidem parallelogramma illis reſpondentia
<
lb
/>
inter eadem plana parallela ſint AF, GK. </
s
>
<
s
>Quoniam igi-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>