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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!
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January 3rd, 2014, 11:44 PM   #2
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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.
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January 4th, 2014, 03:08 PM   #3
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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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