
Geometry Geometry Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 6th, 2017, 04:59 PM  #1 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 561 Thanks: 79  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, 05:30 PM  #2 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,602 Thanks: 816 
you'll have a cylinder capped by spheres at each end. Think about it. 
September 6th, 2017, 06:46 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,031 Thanks: 2342 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.


Tags 
equidistant, line, locus, points, segment 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Find the point on the line that is equidistant from 2 points  elifast  Algebra  6  September 18th, 2012 07:35 PM 
Equidistant points  Rutzer  Number Theory  1  April 10th, 2011 03:49 PM 
locus of the points  knowledgegain  Algebra  0  May 6th, 2009 05:30 AM 
Locus Of Points  lprox015  Algebra  5  May 8th, 2007 03:21 PM 
Find the point on the line that is equidistant from 2 points  elifast  Applied Math  0  December 31st, 1969 04:00 PM 