My Math Forum Translation of the unit circle

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 December 30th, 2013, 06:33 AM #1 Newbie   Joined: Dec 2013 Posts: 1 Thanks: 0 Translation of the unit circle What does the translation do : |z-1|=1 I assume it either translates by one in the x axis or by one in both axis, but I'm not sure which is correct. Thanks!
 December 30th, 2013, 06:58 AM #2 Member   Joined: Mar 2013 Posts: 90 Thanks: 0 Re: Translation of the unit circle It moves the centre of the unit circle from the origin to the point 1+0i.
December 30th, 2013, 05:37 PM   #3
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Re: Translation of the unit circle

Quote:
 Originally Posted by Nehushtan .
Hey...where ya been buddy?

 January 2nd, 2014, 10:57 AM #4 Math Team     Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions Re: Translation of the unit circle To make things look easier use the definition $z=x+iy$ then $|f(z)|=\sqrt{\mathrm{Re}(f(z))^2+\mathrm{Im}(f(z)) ^2}$

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