DelMonte, Guidubaldo
,
Mechanicorvm Liber
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 - 288
>
71
72
73
74
75
76
77
78
79
80
<
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 - 288
>
page
|<
<
of 288
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N1043F
">
<
pb
xlink:href
="
036/01/074.jpg
"/>
<
p
id
="
id.2.1.53.8.0.0.0
"
type
="
head
">
<
s
id
="
id.2.1.53.8.1.1.0
">PROPOSITIO. V. </
s
>
</
p
>
<
p
id
="
id.2.1.53.9.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.53.9.1.1.0
">Duo pondera in libra appenſa, ſi libra inter
<
lb
/>
hæc ita diuidatur, vt partes ponderibus per
<
lb
/>
mutatim reſpondeant; tàm in punctis appenſis
<
lb
/>
ponderabunt, quàm ſi vtraq; ex diuiſionis pun
<
lb
/>
cto ſuſpendantur.
<
figure
id
="
id.036.01.074.1.jpg
"
place
="
text
"
xlink:href
="
036/01/074/1.jpg
"
number
="
64
"/>
</
s
>
</
p
>
<
p
id
="
id.2.1.53.10.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.53.10.1.1.0
">Sit AB libra, cuius centrum C; ſintq; duo pondera EF ex pun
<
lb
/>
ctis BG ſuſpenſa: diuidaturq; BG in H, ita vt BH ad HG
<
lb
/>
eandem habeat proportionem, quam pondus E ad pondus F. </
s
>
<
s
id
="
id.2.1.53.10.1.1.0.a
">
<
lb
/>
Dico pondera EF tàm in BG ponderare, quàm ſi vtraq; ex pun
<
lb
/>
cto H ſuſpendantur. </
s
>
<
s
id
="
id.2.1.53.10.1.2.0
">fiat AC ipſi CH æqualis. </
s
>
<
s
id
="
id.2.1.53.10.1.3.0
">& vt AC ad
<
lb
/>
CG, ita fiat pondus E ad pondus L. </
s
>
<
s
id
="
N1220A
">ſimiliter vt AC ad CB,
<
lb
/>
ita fiat pondus F ad pondus M. </
s
>
<
s
id
="
N1220E
">ponderaq; LM ex puncto A ſu
<
lb
/>
ſpendantur. </
s
>
<
s
id
="
id.2.1.53.10.1.4.0
">Quoniam enim AC eſt æqualis CH, erit BC ad
<
lb
/>
CH vt pondus M ad pondus F. </
s
>
<
s
id
="
id.2.1.53.10.1.4.0.a
">& quoniam maior eſt BC,
<
lb
/>
quàm CH; erit & pondus M ipſo F maius. </
s
>
<
s
id
="
id.2.1.53.10.1.5.0
">diuidatur igitur pon
<
lb
/>
dus M in duas partes QR, ſitq; pars Q ipſi F æqualis; erit BC
<
lb
/>
<
arrow.to.target
n
="
note82
"/>
ad CH, vt RQ ad Q: & diuidendo, vt BH ad HC, ita R ad q.
<
lb
/>
<
arrow.to.target
n
="
note83
"/>
deinde conuertendo, vt CH ad HB, ita Q ad R. </
s
>
<
s
id
="
id.2.1.53.10.1.5.0.a
">Præterea quo
<
lb
/>
niam CH eſt æqualis ipſi CA, erit HC ad CG, vt pondus
<
lb
/>
E ad pondus L: maior autem eſt HC, quàm CG; erit & pon</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>