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Orthogonal Curves

Two curves are said to be orthogonal to each other, when they intersect at right angle  at each of their points of intersection.

The analytic function f(z) = u + iv consist of two families of curves u(x,y) = c1 and v(x,y) = c2 which form an orthogonal system.

[-(∂u/∂x)/(∂u/∂y)][-(∂v/∂x)/(∂v/∂y)]
= [-(∂u/∂x)/(∂u/∂y)][-(-∂u/∂y)/(∂u/∂x)] with the help of C-R equations
= -1



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