Varignon, Pierre
,
Projet d' une nouvelle mechanique : avec Un examen de l' opinion de M. Borelli sur les propriétez des poids suspendus par des cordes
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<
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LEVIERS.</
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54.
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55.</
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paralleles entr’elles, de quelque côté que ces puiſ-
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ſances tirent, il faut prendre ſur le levier AH pro-
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longé s’il en eſt beſoin, H λ à G λ, commela puiſſance
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Q eſt à la puiſſance P, & </
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<
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quel ces deux puiſſances ainſi appliquées feroient
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é
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quilibre, (Corol. </
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<
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direction de ce point (Cor. </
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<
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<
s
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xml:space
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lement à HP, c’eſt-à-dire, (hyp.) </
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">& </
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étant (Cor. </
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<
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">égale à la ſomme des forces de
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ces deux puiſſances, ou (Cor. </
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<
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diffèrence: </
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<
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xml:space
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">au lieu d’elles on en peut ſuppoſer une
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nouvelle de cette valeur appliquée en ce point λ, & </
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dirigée du côté de la puiſſance Q parallelement à EO.
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</
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<
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xml:space
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">Il eſt clair que cette nouvelle puiſſance faiſant la
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même impreſſion ſur ce levier que les puiſſances P & </
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Q y en faiſoient auparavant, ſon centre d’équilibre
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avec la puiſſance O, ſera le point lequel les trois
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puiſſances O, P, & </
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étoient ſeules, & </
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l’ayant donc trouvé comme l’on vient de faire le point
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λ; </
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<
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ſance O, à la charge qui réſulte au point λ du concours
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d’action des puiſſances P & </
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<
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dont la direction ſera encore (Cor. </
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<
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de ces puiſſances, & </
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ſera égale (Cor. </
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<
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O, P, & </
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<
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O, & </
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<
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Q; </
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<
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<
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entre la puiſſance O, & </
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<
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P & </
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nous avons ſuppoſée en λ, ſi nous en concevons </
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