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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xml:space
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">DES POIDS
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ſoutenus ſur
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des ſurfaces.</
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de l’angle CAO: </
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<
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">de ſorte que c’eſt-là tout l’eſpace
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du mouvement qu’elle peut avoir.</
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<
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V.</
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s
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">Le plan BAC, ou le parallelogramme BC de
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cette ligne avec AC ligne de direction du poids
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EO, eſt auſſi toujours perpendiculaire à la ſur-
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face que la ligne GH repreſente, & </
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<
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">ſur laquelle ce
<
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poids eſt ſoutenu; </
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<
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">puiſque la diagonale AD de ce pa-
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rallelogramme BC, l’eſt toujours à cette même ſur-
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face.</
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</
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VI.</
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<
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<
s
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xml:space
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">On voit auſſi de l’article cinquiéme de la demonſ-
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tration ci-deſſus, que le poids EO eſt à la charge de
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cette ſurface, c’eſt-à-dire, à l’impreſſion que lui & </
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<
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">la
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puiſſance R font enſemble deſſus, ou à la réſiſtance
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qu’elle leur fait, comme le ſinus de l’angle BAD, au
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ſinus de l’angle BAC.</
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<
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VII.</
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<
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<
s
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">D’où il ſuit que le poids EO, la charge de la ſur-
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face GH, & </
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<
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">la puiſſance R, ſont entr’eux comme
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les ſinus des angles BAD, BAC, ou ABD ſon com-
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plement, & </
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">DAC, ou ADB qui lui eſt égal; </
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dire, (Lemm. </
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AB.</
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</
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VIII.</
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<
s
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xml:space
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">D’où il ſuit encore que plus l’angle BAC eſt obtus,
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moins la charge de cette ſurface eſt grande: </
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<
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qu’il le peut devenir juſqu’à un tel point, quelle ſera
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ſi petite qu’on voudra; </
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nuer à l’infini.</
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