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September 6th, 2017, 03:59 PM  #1 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 550 Thanks: 78  Locus of Points Equidistant From A Line Segment
I learned about the locus of points x units from a point or a line, but not from a line segment. For example, what is the locus of points 3 units away from y = 0 from (0, 0) to (5, 0)? Is there such a thing?

September 6th, 2017, 04:30 PM  #2 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,413 Thanks: 717 
you'll have a cylinder capped by spheres at each end. Think about it. 
September 6th, 2017, 05:46 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,943 Thanks: 2268 Math Focus: Mainly analysis and algebra 
Or, in the 2 dimensions mentioned, a rectangle with semicircles on the end, centred on the endpoints of the line segment.


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equidistant, line, locus, points, segment 
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