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The vertices of a triangle are A(x1, x1t...

The vertices of a triangle are `A(x_1, x_1tantheta_1),B(x_2, x_2tantheta_2)a n dC(x_3, x_3tantheta_3)dot` if the circumcentre of `DeltaABC` coincides with the origin and `H( barx , bary )` is the orthocentre, show that ` bary/( barx )=(sintheta1+sintheta_2+sintheta_3)/(costheta_1+costheta_2+costheta_3)`

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