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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EXAMEN DE L’OPINION
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<
emph
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">Definition</
emph
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I.</
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xml:space
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">DES POIDS
<
lb
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ſoutenus avec
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des cordes ſeu-
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lement.</
note
>
<
p
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<
s
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xml:space
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">Lorſque ces parties CP, CQ, &</
s
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<
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xml:space
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">c. </
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<
s
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xml:space
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">ſe trouveront
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au-deſſus du point C, nous les appellerons les ſublimitez
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des puiſſances qui les auront déterminées par leurs
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proportionnelles.</
s
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xml:space
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</
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<
emph
style
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">Definition</
emph
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II.</
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<
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<
s
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xml:space
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">Et celles de ces lignes qui ſe trouveront au-deſſous
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de ce même point C, nous les appellerons les Pro-
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fondeurs de ces mêmes puiſſances.</
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</
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<
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<
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xml:space
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">Selon ces définitions C P eſt la Sublimité de la puiſſance R
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dans les fig. </
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puiſſance S dans la fig. </
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<
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<
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xml:space
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">CL eſt la
<
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Profondeur de cette mème puiſſance.</
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<
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xml:space
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</
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<
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<
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">On avertit encore que lorſqu’on comparera à la ſublimi-
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té, ou à la profondeur de ces puiſſances, des parties de leurs
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cordes qui leur ſoient proportionnelles, on ne l’entendra pas
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/>
indiffèremment de toutes les proportionnelles qu’on pouroit
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lb
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leur aſſigner; </
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<
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xml:space
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blimitez, ou les profondeurs en queſtion.</
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">LE poids T ſoutenu avec les cordes AC & </
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">BC par les
<
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<
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note-0126-02a
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xml:space
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5.
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6.
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7.</
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puiſſances R & </
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<
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<
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xml:space
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">en équilibre avec elles, eſt tou-
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jours à chacune d’elles, comme la partie DC de ſa ligne de ái-
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rection, à chacun des còtez GC & </
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<
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GH, dont elle eſt diagonale.</
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