Bélidor, Bernard Forest de
,
La science des ingenieurs dans la conduite des travaux de fortification et d' architecture civile
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LA SCIENCE DES INGENIEURS.
"/>
quelconque, on pourra regarder ce coëfficient comme le double
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de la racine du quarré, qui manque, pour que l’inconnu ſe trouve
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compris dans un quarré parfait, & </
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de ce quarré, en prenant la moitié du coëfficient du ſecond terme.</
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<
s
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">Quand il arrive que le coëfficient ſe trouve compoſé de pluſieurs
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termes, il faut les ſupoſer n’en valoir tous enſemble qu’un ſeul;
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">par exemple, ſi l’on avoit yy + {2ay/3} - {3bdy/5c} + 2dy + {bby/d}, on
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ſupoſera {2a/3} - {bd/5c} + 2d + {bb/d} = n; </
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<
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<
s
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echoid-s1934
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">comme en multipliant
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cette équation par y, l’on a {2ay/3} - {3bdy/5c} + 2dy + {bby/d} = ny,
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on pourra mettre ny, à la place de ſa valeur; </
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<
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echoid-s1935
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s
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echoid-s1936
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xml:space
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">au lieu de ce qui
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précéde on aura yy + ny, qu’on pourra changer en quarré, en y ajoû-
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tantle quarré de la moitié du coëfficient, c’eſt-à-dire le quarré de {n/2},
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afin d’avoir yy + ny + {nn/4}; </
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<
s
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echoid-s1938
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">pour éviter les fractions, on peut encore
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ſupoſer le coëfficient complexe égal à 2n, plûtôt qu’à n ſeul, par-
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ce qu’alors ayant 2ny, au lieu de ny, le quarré ſera yy + 2ny + nn.</
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11
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