DelMonte, Guidubaldo
,
Mechanicorvm Liber
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id.2.1.119.1.0.0.0
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<
s
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">Sit rurſus vectis
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AB, cuius fulcimen
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<
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abbr
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tũ
">tum</
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A; & pondus C in
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B ſit appenſum; ſitq;
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potentia in D: &
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DA ad AB maio
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rem habeat propor
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tionem, quàm pon
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dus C ad potentiam, quæ eſt in D. </
s
>
<
s
id
="
id.2.1.119.1.2.1.0.a
">dico pondus C à potentia
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lb
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in D moueri. </
s
>
<
s
id
="
id.2.1.119.1.2.2.0
">fiat vt DA ad AB, ita pondus E ad potentiam in
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lb
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D; & ſit pondus E ex puncto B ſuſpenſum: potentia in D pondus
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lb
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E ſuſtinebit. </
s
>
<
s
id
="
id.2.1.119.1.2.3.0
">ſed DA ad AB maiorem habet proportionem,
<
lb
/>
quàm C ad potentiam in D; & vt DA ad AB, ita eſt pondus E
<
lb
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ad potentiam in D; pondus igitur E ad potentiam, quæ eſt in D,
<
lb
/>
maiorem habebit proportionem, quàm pondus C ad eandem po
<
lb
/>
tentiam. </
s
>
<
s
id
="
id.2.1.119.1.2.4.0
">quare pondus E maius eſt pondere C. </
s
>
<
s
id
="
N13ABA
">& cùm poten
<
lb
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tia in D pondus E ſuſtineat, potentia igitur in D pondus C in B
<
lb
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appenſum vecte AB, cuius fulcimentum eſt A, mouebit. </
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>
<
s
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="
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">quod
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demonſtrare oportebat. </
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<
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">ALITER. </
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>
</
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type
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<
s
id
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">Sit vectis AB, &
<
lb
/>
pondus C in A ap
<
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penſum & poten
<
lb
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tia in B; ſit〈qué〉 fulci
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mentum D: & DB
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<
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<
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ad DA maiorem habeat proportionem, quàm pondus C ad po
<
lb
/>
tentiam in B. </
s
>
<
s
id
="
id.2.1.119.3.1.1.0.a
">dico pondus C à potentia in B moueri. </
s
>
<
s
id
="
id.2.1.119.3.1.2.0
">fiat BE ad
<
lb
/>
EA, vt pondus C ad potentiam, erit punctum E inter BD. </
s
>
<
s
id
="
id.2.1.119.3.1.2.0.a
">opor
<
lb
/>
tet enim BE ad EA minorem habere proportionem, quàm DB
<
lb
/>
ad DA, & ideo BE minor erit BD. </
s
>
<
s
id
="
id.2.1.119.3.1.2.0.b
">& quoniam potentia in B ſu
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ſtinet pondus C in A appenſum uecte AB, cuius
<
expan
abbr
="
fulcimentũ
">fulcimentum</
expan
>
E; minor
<
lb
/>
igitur potentia in B, quàm data, idem pondus ſuſtinebit fulcimen
<
lb
/>
to D. </
s
>
<
s
id
="
N13B02
">data ergo potentia in B pondus C mouebit uecte AB, cuius
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lb
/>
fulcimentum eſt D. </
s
>
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