DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">Sit pondus A, cui alligata ſit trochlea
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orbiculum habens, cuius centrum B;
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religetur funis in C, qui circa orbiculum
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reuoluatur, funiſq; perueniat in D: erit
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potentia in D ſuſtinens pondus A ſub
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dupla ponderis A. </
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<
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">deinde funis in D
<
lb
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alteri trochleæ religetur, & circa huius
<
lb
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trochleæ orbiculum alius reuoluatur fu
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lb
/>
nis, qui religetur in E, & perueniat in
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F; erit potentia in F ſubdupla eius,
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quod ſuſtinet
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abbr
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potẽtia
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in D: eſt enim ac ſi
<
lb
/>
D dimidium ponderis A ſuſtineret ſi
<
lb
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ne trochlea; quare potentia in F ſubqua
<
lb
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drupla erit ponderis A. </
s
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<
s
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<
lb
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nis in F alteri trochleæ religetur, &
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lb
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per eius orbiculum circumuoluatur a
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lb
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lius funis, qui religetur in G, & per
<
lb
/>
ueniat in H; erit potentia in H ſub
<
lb
/>
dupla potentiæ in F. </
s
>
<
s
id
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">ergo potentia in
<
lb
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H ſuboctupla erit ponderis A. </
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<
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lb
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in infinitum ſemper ſubduplam poten
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lb
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tiam
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præcedẽtis
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potentiæ inueniemus.
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<
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">Et ſi in H ſit potentia mouens, erit
<
lb
/>
ſpatium potentiæ ſpatii ponderis octu
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lb
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plum. </
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<
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">ſpatium enim D duplum eſt ſpa
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lb
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tii ponderis A, & ſpatium F ſpatii D
<
lb
/>
duplum; erit ſpatium F ſpatii ponde
<
lb
/>
ris A quadruplum. </
s
>
<
s
id
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id.2.1.213.4.1.3.0
">ſimiliter quoniam
<
lb
/>
ſpatium potentiæ in H
<
expan
abbr
="
duplũ
">duplum</
expan
>
eſt ſpatii
<
lb
/>
F, erit ſpatium potentiæ in H ſpatii
<
lb
/>
ponderis A octuplum. </
s
>
</
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2
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Huius.
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2
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Huius.
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11
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Huius.
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