Valerio, Luca
,
De centro gravitatis solidorvm libri tres
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 283
>
Scan
Original
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 283
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
043/01/171.jpg
"
pagenum
="
84
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XLIV.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Si conus & conoides parabolicum circa eun
<
lb
/>
dem axim ſecentur plano baſi parallelo; fruſti co
<
lb
/>
nici abſciſſi maiori baſi propinquius erit quàm
<
lb
/>
parabolici centrum grauitatis. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sint conus ABC, & conoides parabolicum EBF,
<
lb
/>
quorum communis
<
lb
/>
axis BD, cuius per
<
lb
/>
quoduis punctum M,
<
lb
/>
planum ſecans ea cor
<
lb
/>
pora plano baſium,
<
lb
/>
quarum diametri A
<
lb
/>
C, EF, parallelo ab
<
lb
/>
ſcindat fruſta AKL
<
lb
/>
C, cuius centrum gra
<
lb
/>
uitatis N, & EGH
<
lb
/>
F, cuius centrum gra
<
lb
/>
<
figure
id
="
id.043.01.171.1.jpg
"
xlink:href
="
043/01/171/1.jpg
"
number
="
129
"/>
<
lb
/>
uitatis O, quorum vtrumque erit in communi axe DM.
<
lb
/>
</
s
>
<
s
>Dico punctum N, propinquius eſse ipſi D quàm punctum
<
lb
/>
O. </
s
>
<
s
>Quoniam enim eſt parabolicifruſti EGHF centrum
<
lb
/>
grauitatis O; erit vt duplum maioris baſis, ideſt circuli
<
lb
/>
EF vna cum minori circulo GH, ad duplum circuli GH
<
lb
/>
vna cum circulo EF, hoc eſt vt duplum quadrati ED vna
<
lb
/>
cum quadrato ED ita MO ad OD. </
s
>
<
s
>Sed vt quadratum
<
lb
/>
ED ad quadratum GM in parabola quæ conoides de
<
lb
/>
ſcribit, cuius diameter BD, ita eſt DB ad BM, hoc eſt
<
lb
/>
AC ad KL; vt igitur eſt dupla ipſius AC vna cum KL
<
lb
/>
ad duplam ipſius KL vna cum AC ita erit MO ad OD:
<
lb
/>
ſed N eſt fruſti conoici AKLC, centrum grauitatis; pun
<
lb
/>
ctum igitur N, erit maiori baſi AC propinquius quàm </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>