Valerio, Luca
,
De centro gravitatis solidorvm libri tres
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 283
>
161
162
163
164
165
166
167
168
169
170
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 283
>
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
>