-Π<θ≦Π
I define how to expand circles in complex plane.

.gif)
Then, this is apparent.
.gif)
(n=0,±1,±2.......)
Therefore
.gif)
.gif)
.gif)
-Π<θ≦Π
Z keep circling because of Z=X+iY


.gif)
Then, this is apparent.
.gif)
(n=0,±1,±2.......)
Therefore
.gif)
.gif)
.gif)
-Π<θ≦Π
Z keep circling because of Z=X+iY

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