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Math Help - movement of a point

  1. #1
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    movement of a point

    there is one point on x-axis and other one on y-axis and both points are connected with a diagonal line. If one point on x-axis is moving to the positive side and other one is also moving on y-axis downward with the same distance. the question is if there is a third point on the diagonal that is connecting those two points, what will be path of that third point?
    Thank you
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  2. #2
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    Quote Originally Posted by spred View Post
    there is one point on x-axis and other one on y-axis and both points are connected with a diagonal line. If one point on x-axis is moving to the positive side and other one is also moving on y-axis downward with the same distance. the question is if there is a third point on the diagonal that is connecting those two points, what will be path of that third point?
    Thank you
    Initial location of the point (x,y)
    after a movement, the point will move a proportional amount relative to the location of the point on the diagonal line connecting the y-axis point and the x-axis point.

    ASSUME: the point is at the MIDPOINT of the diagonal.
    If the initial movement is 2D then
    after an initial movement
    location of the point (x+d,y-d)

    after a 2nd equal movement
    location of the point (x+2d, y-2d)

    after a 3rd equal movement
    location of the point (x+3d, y-3d)


    It is linear.
    The path is a line.

    [As stated, the "diagonal" is increasing in length with each movement.]

    Hope that helps.
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  3. #3
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    If you have a rigid line between the two axes, with always the same length then the two endpoints could not move the same distance.
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  4. #4
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    No, this is not a rigid line. you can move this line like a thread.
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