Valerio, Luca
,
De centro gravitatis solidorum
,
1604
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 199
[out of range]
>
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 199
[out of range]
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
043/01/224.jpg
"
pagenum
="
45
"/>
feras, reliquæ BF, FD æquales erunt; tota igitur FH to
<
lb
/>
ti FK æqualis eſt: in triangulo autem AHK recta AF
<
lb
/>
ſecat LM, HK parallelas in eaſdem rationes; erit igitur
<
lb
/>
LG æqualis ipſi GM; cum igitur æqualium triangulo
<
lb
/>
rum ABC, ADE centra grauitatis ſint L, M; erit com
<
lb
/>
poſiti ex vtroque centrum grauitatis G. </
s
>
<
s
>Idem oſtendere
<
lb
/>
mus, quod proponitur, & ſi baſes prædictorum triangulo
<
lb
/>
rum ſint continuæ. </
s
>
<
s
>Manifeſtum eſt igitur propoſitum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XXIII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Si duæ parabolæ in eodem plano circa æqua
<
lb
/>
les diamet ros in directum inter ſe conſtitutas, ita
<
lb
/>
vt vertices ſint extrema ex diametris compoſitæ,
<
lb
/>
communem habuerint aliquam ordinatim ad dia
<
lb
/>
metrum applicatarum, & vertices cum puncto con
<
lb
/>
uenientiæ iungantur rectis lineis: centrum gra
<
lb
/>
uitatis v triuſque portionis ijs rectis lineis ab ſciſ
<
lb
/>
ſæ, rectam lineam, quæ terminum communem
<
lb
/>
diamctrorum, & concurſum parabolarum iungit
<
lb
/>
bifariam diuidit. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Circa æquales
<
lb
/>
diametros AD,
<
lb
/>
DC indirectum
<
lb
/>
inter ſe conſtitutas,
<
lb
/>
verticibus A, C,
<
lb
/>
duæ parabolæ in
<
lb
/>
eodem plano
<
expan
abbr
="
com-munẽ
">com
<
lb
/>
munem</
expan
>
habeant ali
<
lb
/>
quam BD ordi
<
lb
/>
<
figure
id
="
id.043.01.224.1.jpg
"
xlink:href
="
043/01/224/1.jpg
"
number
="
165
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>