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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MECHANIQUE.
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penſer la même choſe de tout autre Problême ſur les leviers
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LEVIERS.</
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dont la ſolution dépend de la détermination de la charge,
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& </
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<
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XI.</
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ces E & </
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levier MN, ſont en raiſon réciproque des lignes BD
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& </
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">BP tirées de ſon point d’apui B perpendiculaire-
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ment ſur leurs lignes de direction, qu’elles quelles
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ſoient: </
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F, comme AS, ou GR à AR; </
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<
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<
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(fig. </
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ſon complement, eſt au ſinus de l’angle RGA, ou de
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XAB ſon (fig. </
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44.) </
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ſinus de l’angle OAB, & </
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ſuit quela puiſſance E eſt à la puiſſance F, comme BP
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à BD; </
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de leurs lignes de direction, au point d’appui de leur
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levier. </
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infiniment aigu, c’eſt-à-dire, lors que les lignes de
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direction de ces deux puiſſances ſont paralleles, & </
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que ce levier eſt droit, quelque ſituation qu’il ait,
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ces deux puiſſances ſont toujours entr’elles, tant
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que dure leur équilibre, en raiſon réciproque des
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bras de ce levier pris depuis ſon point d’appui, juſ-
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qu’aux points où elles lui ſont appliquées.</
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XII.</
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nifeſtement de cette propoſition: </
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