a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p

To prove:

(b+c-a)/a; (a+c-b)/b; (a+b-c)/c are in A.P

or

(b+c)/a; (a+c)/b; (a+b)/c are in A.P

or

1/a; 1/b; 1/c are in A.P

which is the given condition.

b+c-a)/a; (a+c-b)/b; (a+b-c)/c are in A.P

(b+c)/a; (a+c)/b; (a+b)/c are in A.P

1/a; 1/b; 1/c are in A.P