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If (b+c)/(a), (c+a)/(b), (a+b)/(c ) are ...

If `(b+c)/(a), (c+a)/(b), (a+b)/(c )` are in A.P. show that `(1)/(a), (1)/(b), (1)/(c )` are also in A.P. `(a+b+c != 0)`.

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