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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& </
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<
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ſoutenus avec
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des cordes ſeu-
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lement.</
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diagonale DC, comme chacune des puiſſances R & </
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au poids T; </
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<
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vient de voir, pour qu’elles faſſent équilibre avec lui.</
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<
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poſitions 68. </
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<
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<
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II.</
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<
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">Il ſuit encore de ces démonſtrations que chacune
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des puiſſances R & </
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5.</
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des parties GC & </
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">HC de leurs cordes, qui leurs ſont
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proportionelles, à la ſomme ( fig. </
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<
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tez, ou à la difference (fig. </
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de l’une & </
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<
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le parallelogramme GH les angles GCD & </
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étant égaux, auſſi-bien que les lignes GC & </
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</
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<
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(avert.) </
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<
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non ſeulement ſemblables, mais encore leurs côtez
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CP & </
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eſt égal à DQ plus CQ, & </
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ſera auſſi égal à DQ moins CQ. </
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plus CQ eſt égal à CD, de même (fig. </
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DQ moins CQ: </
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à CD, auſſi-bien (fig. </
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ſelon les démonſtrations précédentes chacune des
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puiſſances R & </
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leurs proportionelles CG & </
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cune de ces mêmes puiſſances eſt à ce poids, comme
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chacune de ces mêmes proportionelles à CP ( fig. </
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plus CQ, ou (fig. </
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(Def. </
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ou bien ( fig. </
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té de l’une & </
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