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January 3rd, 2014, 11:41 PM   #1
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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!
Attached Images
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 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: 6,806 Thanks: 716 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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### nearest point on line

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