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An elementary treatise on coordinate geometry of three dimensions (1912)

Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 231

An illustration from An elementary treatise on coordinate geometry of three dimensions, 1912, leaf 231
=().We may assume a^>b^>c. Consider y = ^(\)^(\-b)(\-c)-f.Corresponding values of X and y are -co, c, b, + co, + 00, -f, -f\ +». … Fig. 48. Hence from the graph, (fig. 48), it appears that theequation ^(A) = 0 has real roots rx and /3, such that /3<c<6<a. Consider now y = <p(X). When \=+oo,i/=+co; §§144, l i-| THE DISCRIMINATING CUBH when X = a, y = - {(a - 6)<f + (a - c)h* ± 2%/(a - 5)j a -c)gh} = — (#«/«. — 6…

Geometry, Analytic

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