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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xml:space
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">PROPOSITION
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lb
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FONDAMENTALE
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DES POIDS SOUTENUS</
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<
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xml:space
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</
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<
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xml:space
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<
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xml:space
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">pour toutes les directions poſſibles
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des puiſſances qui y ſont appliquées.</
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</
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>
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">le poids EO, & </
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xml:space
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<
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xml:space
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">fig. 30.
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31.
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32.
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33.
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34.
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35.
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36.</
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la puiſſance R qui le ſoutient deſſus, ſont toujours en-
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tr’ eux en raiſon réciproque des ſinus des angles que font leurs
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lignes de direction avec AD tirée perpendiculairement du point
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A de leur concours, ſur la ſurface GH.</
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<
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">cette puiſſance demeurent ainſi
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en equilibre ſur la ſurface GH, telle qu’elle ſoit,
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il faut 1°. </
s
>
<
s
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xml:space
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">que leurs lignes de direction EB & </
s
>
<
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xml:id
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xml:space
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ſe rencontrent en quelque point A: </
s
>
<
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xml:id
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xml:space
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">car ſi elles étoient
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paralleles, il eſt clair que le centre de gravité de ce
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poids pourroit encore deſcendre d’une longueur éga-
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le à la diſtance qu’elles auroient entr’elles; </
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<
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eſt contre l’hypothêſe. </
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liéres que font ſur le point A, & </
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>
<
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xml:space
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">la peſanteur de ce
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poids, & </
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<
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">la puiſſance R qui le retient; </
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xml:space
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mes que ſi ce point étoit pouſſé en même temps </
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