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January 3rd, 2014, 11:41 PM  #1 
Newbie Joined: Jan 2014 Posts: 2 Thanks: 0  Nearest distance from point to point on line
Hey, consider the situation like on the attached picture. I need to find a point P (blue) between two points A (red) and B (green). The point P must have the following characteristics: P is a point on a line L (black) The distance from A to P + the distance from P to B have to be minimized (so the path is actually the shortest path from A to B over line L, like the green line on the picture) I need a formula which gives me the point P, but I have no idea how I should achieve this.. Could you give me any help, please? Greetings! 
January 3rd, 2014, 11:44 PM  #2 
Newbie Joined: Jan 2014 Posts: 2 Thanks: 0  Re: Nearest distance from point to point on line
Addition: I actually forgot to say that the line is a line segment limited by two points. 
January 4th, 2014, 03:08 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,727 Thanks: 687  Re: Nearest distance from point to point on line
I think you need to clarify your question. The diagram and your description don't match.


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