Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
<
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
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
043/01/055.jpg
"
pagenum
="
47
"/>
ratione, tam duorum triangulorum ABG, DGE, quàm
<
lb
/>
duorum AFG, CDG, ſimul, centrum grauitatis erit G;
<
lb
/>
totius igitur polygoni ABCDEF; centrum grauitatis
<
lb
/>
erit idem G. </
s
>
<
s
>Manifeſtum eſt igitur propoſitum. </
s
>
</
p
>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XXII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Omnis figuræ circa diametrum in alteram par
<
lb
/>
tem deficientis, in diametro eſt centrum graui
<
lb
/>
tatis. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sit figura ABC, circa diametrum BD, in alteram par
<
lb
/>
tem deficiens verſus B. </
s
>
<
s
>Dico centrum grauitatis figuræ
<
lb
/>
ABC, eſse in linea BD. ſit enim punctum E, generali
<
lb
/>
ter extra lineam BD. </
s
>
<
s
>Et per puncta E, C, ducantur ipſi
<
lb
/>
BD, parallelæ EF,
<
lb
/>
CG, & vt eſt CD,
<
lb
/>
ad DF, ita ponatur
<
lb
/>
figura ABC, ad ali
<
lb
/>
quod ſpacium M: &
<
lb
/>
figuræ ABC, inſcri
<
lb
/>
batur figura ex paral
<
lb
/>
lelogrammis æqua
<
lb
/>
lium altitudinum de
<
lb
/>
ficiens à figura ABC,
<
lb
/>
minori defectu, quam
<
lb
/>
ſit ſpacium M, quan
<
lb
/>
tumcumque illud ſit:
<
lb
/>
minor igitur propor
<
lb
/>
<
figure
id
="
id.043.01.055.1.jpg
"
xlink:href
="
043/01/055/1.jpg
"
number
="
32
"/>
<
lb
/>
tio erit figuræ ABC, ad ſpacium M, hoc eſt minor pro
<
lb
/>
portio CD, ad DF, quàm figuræ ABC, ad ſui reliquum,
<
lb
/>
dempta figura inſcripta. </
s
>
<
s
>Quoniam autem diameter BD, </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>