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May 18th, 2010, 08:35 AM  #1 
Member Joined: Apr 2010 Posts: 47 Thanks: 0  Where does a circle begin?
You see every circle is really a different object you must remember in that drawing one circle is not the same thing as drawing another circle both are separated by space and time which proves they are different Objects. And so a circle begins where you first draw the line and ends where you last draw the line which happens to be usually around about the same point, and so a circle has no definite begin as every circle has its own beginning, a circle's beginning and end are the same point and all the rest of points and the line which develops the loop to create the circle is the middle, so it really depends on where you first draw it, and it must have a beginning or else the circle would never have been drawn and it must have an end or else it would not form to create a circle, thus a circle must have a start and end, and they must be the same point and they must be the point in which you first and/or last draw them. 
May 18th, 2010, 08:48 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,948 Thanks: 1139 Math Focus: Elementary mathematics and beyond  Re: Where does a circle begin?
A circle is the set of all points that are of equal distance from a point with that distance being greater than zero  no "beginning" and no "end".

May 18th, 2010, 08:55 AM  #3 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0  Re: Where does a circle begin?
A circle is different from a drawing of a circle!

May 18th, 2010, 09:05 AM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,948 Thanks: 1139 Math Focus: Elementary mathematics and beyond  Re: Where does a circle begin?
Good point. But if you "color in" all the points you don't need a "beginning" or an "ending" that are at the same point. Might take a while, though. Afterthought: . . . or use segments of arc . . . 
May 23rd, 2010, 01:51 PM  #5 
Senior Member Joined: Jan 2009 Posts: 345 Thanks: 3  Re: Where does a circle begin?
circle is a locus of points projecting from the center. That is an infinite amount of points projecting from the center.


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