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Finding the (x, y, z) of a point on a sphere

  1. Jan 5, 2012 #1

    I have two known points on a sphere P1(x1, y1, z1) and P2(x2, y2, z2). I know the angle between them on the plane from the origin.

    I wish to divide that angle by n to create n - 1 new points on the sphere surface on the arc between P1 and P2.

    How do i find the x, y, z of these points. Or at least the first point with n = 3?

    (n = 2 is done by midpoint of chord and scaling).


  2. jcsd
  3. Jan 23, 2012 #2
    Just to make it clear, is the origin center ? Radius known ?
    this thread may be useful https://www.physicsforums.com/showthread.php?t=173847
    Last edited: Jan 23, 2012
  4. Jan 23, 2012 #3

    thx for answering - i had long given up

    Yes the sphere is centred at the origin and i know the radius.

    The other thread didn't appear to apply - but i don't know enough to be sure.

    I have solved the problem using coordinate geometry but wondered if there was a more elegant solution using vectors...
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