DelMonte, Guidubaldo, Mechanicorvm Liber

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61perpendicularis exiſtat) vecti æqueponderabit; hoc eſt vectem
AB deorſum premendo ſuſtinebit.
quod inuenire oportebat.
13 Huius.
Si verò potentia in puncto B ponenda eſſet. fiat vt CF ad CM
ita pondus AB ad potentiam.
ſimili modo oſtendetur poten­
tiam in B vectem AB ſuſtinere.
ſimiliterq; demonſtrabitur in quo­
cunq; alio ſitu (præterquàm in e) ponenda fuerit potentia, vt in
N.
fiat enim vt CO ad CM, ita AB ad potentiam; quæ ſi pona­
tur in N, vectem AB ſuſtinebit.
Adiiciatur autem pondus in vecte appenſum,
ſiue poſitum; vt iisdem poſitis ſit pondus P in
A appenſum; potentiaq; ſit ponenda in B, ita
vt vectem AB vnà cum pondere P ſuſtineat. 131[Figure 131]
Diuidatur AM in Q, ita vt AQ ad QM ſit, ut grauitas ue­
ctis AB ad grauitatem ponderis P; deinde ut CF ad CQ, ita fat
grauitas AB, & P ſimul ad potentiam, quæ ponatur in B: patet
potentiam in B uectem AB unà cum pondere P ſuſtinere.
Si ue­
rò eſſet CA ad CM, vt AB ad P; eſſet punctum C eorum centrum
grauitatis, & ideo vectis AB vná cum pondere P abſq; potentia in
B manebit.
ſed ſi ponderum grauitatis centrum eſſet inter CF, vt
in O; fiat vt CF ad CO, ita AB&P ſimul ad potentiam, quæ
in B, & vectem AB, & pondus P ſuſtinebit.

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