DelMonte, Guidubaldo
,
Mechanicorvm Liber
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ad BA. </
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<
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N12AF6
">pondera FG æqueponderabunt. </
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<
s
id
="
id.2.1.77.2.1.2.0
">cùm autem ſit CB æqua
<
lb
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lis BD, pondera quoq; FE æqualia æqueponderabunt. </
s
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<
s
id
="
id.2.1.77.2.1.3.0
">pondera
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lb
/>
verò FEG in libra, ſeu vecte DBA appenſa, cuius fulcimentum
<
lb
/>
eſt B, non æqueponderabunt; ſed ex parte A deorſum tendent. </
s
>
<
s
id
="
id.2.1.77.2.1.4.0
">po
<
lb
/>
natur itaq; in A tanta vis, vt pondera FEG æqueponderent; erit
<
lb
/>
potentia in A æqualis ponderi G. </
s
>
<
s
id
="
N12B0B
">pondera enim FE
<
expan
abbr
="
æqueponderãt
">æqueponderant</
expan
>
,
<
lb
/>
& vis in A nihil aliud efficere debet, niſi ſuſtinere
<
expan
abbr
="
põdus
">pondus</
expan
>
G, ne deſcen
<
lb
/>
dat. </
s
>
<
s
id
="
id.2.1.77.2.1.5.0
">& quoniam pondera FEG, & potentia in A æqueponderant,
<
lb
/>
demptis igitur FG ponderibus, quæ æqueponderant, reliqua æque
<
lb
/>
ponderabunt; ſcilicet potentia in A ponderi E, hoc eſt potentia
<
lb
/>
in A pondus E ſuſtinebit, ita vt vectis AB maneat, vt prius erat. </
s
>
<
s
id
="
id.2.1.77.2.1.6.0
">
<
lb
/>
Cùm autem potentia in A ſit æqualis ponderi G, & pondus E pon
<
lb
/>
deri F æquale; habebit potentia in A ad pondus E eandem pro
<
lb
/>
portionem, quam habet BD, hoc eſt BC ad BA. </
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>
<
s
id
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N12B2A
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<
lb
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ſtrare oportebat. </
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</
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<
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type
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">
<
s
id
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">COROLLARIVM I. </
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>
</
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<
s
id
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id.2.1.77.4.1.1.0
">Ex hoc etiam (vt prius) manifeſtum eſſe po
<
lb
/>
teſt, ſi ponatur pondus E propius fulcimento B,
<
lb
/>
vt in H; minorem potentiam in A ſuſtinere poſ
<
lb
/>
ſe ipſum pondus. </
s
>
</
p
>
<
p
id
="
id.2.1.77.5.0.0.0
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type
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<
s
id
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id.2.1.77.5.1.1.0
">Minorem enim proportionem habet HB ad BA, quam CB ad
<
arrow.to.target
n
="
note132
"/>
<
lb
/>
BA. </
s
>
<
s
id
="
N12B4B
">& quò propius pondus erit fulcimento, adhuc ſemper mino
<
lb
/>
rem poſſe potentiam ſuſtinere pondus E ſimiliter oſtendetur. </
s
>
</
p
>
<
p
id
="
id.2.1.78.1.0.0.0
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type
="
margin
">
<
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id
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id.2.1.78.1.1.1.0
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note132
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8
<
emph
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Quinti.
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</
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type
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<
s
id
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id.2.1.79.1.1.1.0
">COROLLARIVM II. </
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>
</
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<
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id
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id.2.1.79.2.0.0.0
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type
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<
s
id
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id.2.1.79.2.1.1.0
">Sequitur etiam potentiam in A ſemper mino
<
lb
/>
rem eſſe pondere E. </
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>
</
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>
<
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id
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type
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">
<
s
id
="
id.2.1.79.3.1.1.0
">Sumatur enim inter AB quoduis punctum C, ſemper BC
<
lb
/>
minor erit BA. </
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