DelMonte, Guidubaldo
,
Mechanicorvm Liber
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 - 288
>
Scan
Original
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 288
>
page
|<
<
of 288
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N128CF
">
<
pb
xlink:href
="
036/01/096.jpg
"/>
<
p
id
="
id.2.1.83.1.0.0.0
"
type
="
head
">
<
s
id
="
id.2.1.83.1.2.1.0
">ALITER. </
s
>
</
p
>
<
figure
id
="
id.036.01.096.1.jpg
"
place
="
text
"
xlink:href
="
036/01/096/1.jpg
"
number
="
90
"/>
<
p
id
="
id.2.1.83.2.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.83.2.1.1.0
">Sit vectis AB, cuius fulcimentum B; & ex puncto A ſit pon
<
lb
/>
dus C ſuſpenſum; ſitq; potentia in D ſuſtinens pondus C. </
s
>
<
s
id
="
id.2.1.83.2.1.1.0.a
">Dico
<
lb
/>
vt AB ad BD, ita eſſe potentiam in D ad pondus C. </
s
>
<
s
id
="
id.2.1.83.2.1.1.0.b
">Produca
<
lb
/>
tur AB in E, fiatq; BE æqualis ipſi BA; & ex puncto E appen
<
lb
/>
datur pondus F æquale ponderi C; & vt BD ad BE, ita fiat pon
<
lb
/>
dus F ad aliud G, quod ex puncto D ſuſpendatur. </
s
>
<
s
id
="
id.2.1.83.2.1.2.0
">pondera FG
<
lb
/>
æqueponderabunt. </
s
>
<
s
id
="
id.2.1.83.2.1.3.0
">& quoniam AB eſt æqualis BE, & pondera
<
lb
/>
FC æqualia; ſimiliter pondera FC æqueponderabunt. </
s
>
<
s
id
="
id.2.1.83.2.1.4.0
">Pondera
<
lb
/>
verò FGC ſuſpenſa in vecte EBA, cuius fulcimentum eſt B, non
<
lb
/>
æqueponderabunt; ſed ex parte A deorſum tendent. </
s
>
<
s
id
="
id.2.1.83.2.1.5.0
">Ponatur igi
<
lb
/>
tur in D tanta vis, vt pondera FGC æqueponderent; erit po
<
lb
/>
tentia in D æqualis ponderi G: pondera enim FC æqueponde
<
lb
/>
rant, & potentia in D nil aliud efficere debet, niſi ſuſtinere pon
<
lb
/>
dus G ne deſcendat. </
s
>
<
s
id
="
id.2.1.83.2.1.6.0
">& quoniam pondera FGC, & potentia in
<
lb
/>
D æqueponderant, demptis igitur FG ponderibus, quæ æquepon
<
lb
/>
derant; reliqua æqueponderabunt, ſcilicet potentia in D ponderi C.
<
lb
/>
</
s
>
<
s
id
="
N12CDC
">hoc eſt potentia in D pondus C ſuſtinebit, ita vt vectis AB ma
<
lb
/>
neat, vt prius. </
s
>
<
s
id
="
id.2.1.83.2.1.7.0
">& cùm potentia in D ſit æqualis ponderi G, & pon
<
lb
/>
dus C æquale ponderi F; habebit potentia in D ad pondus C ean
<
lb
/>
dem proportionem, quam EB, hoc eſt AB ad BD. </
s
>
<
s
id
="
id.2.1.83.2.1.7.0.a
">quod de
<
lb
/>
monſtrare oportebat. </
s
>
</
p
>
<
p
id
="
id.2.1.83.3.0.0.0
"
type
="
head
">
<
s
id
="
id.2.1.83.3.1.1.0
">COROLLARIVM I. </
s
>
</
p
>
<
p
id
="
id.2.1.83.4.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.83.4.1.1.0
">Ex hoc etiam pàtet, vt prius, ſi coftituatur pon
<
lb
/>
dus fulcimento B propius, vt in H; à minori po
<
lb
/>
tentia pondus ipſum ſubſtineri debere. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>