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February 18th, 2013, 09:57 AM  #11 
Senior Member Joined: Jul 2012 From: DFW Area Posts: 642 Thanks: 99 Math Focus: Electrical Engineering Applications  Re: Negative Radius Circle
Hi tfullerton, is your student familiar with complex numbers? Maybe he/she could consider circles with radii in terms of the imaginary unit: with a a real number. A couple of solutions for are (i,0) and (of course x and y could be exchanged). If the student is not familiar with complex numbers, this might be a way to introduce them because I think that it would result in the student learning the basic properties of complex numbers including powers and roots (squares and square roots at least). My apologies if this is not appropriate for his/her study. 
February 18th, 2013, 07:13 PM  #12  
Newbie Joined: Feb 2013 From: Montréal, Canada Posts: 6 Thanks: 0  Re: Negative Radius Circle Quote:
Tom  
February 18th, 2013, 07:18 PM  #13  
Newbie Joined: Feb 2013 From: Montréal, Canada Posts: 6 Thanks: 0  Re: Negative Radius Circle Quote:
I know this has me (re)thinking circles. Much appreciated, Tom  
February 19th, 2013, 06:07 PM  #14  
Senior Member Joined: Dec 2012 Posts: 450 Thanks: 0  Re: Negative Radius Circle Quote:
Thats why maybe nobody calls you a hatricker when you score 3 own goals...You are a negative hatricker.....  
February 19th, 2013, 06:36 PM  #15 
Global Moderator Joined: Dec 2006 Posts: 20,919 Thanks: 2201 
Nobody grumbles about negative curvature... 

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