Recent content by lulukoko

  1. L

    I Finding the coordinates of a point on a sphere

    The equations I used were the following: Suppose you are rotating about the origin clockwise through an angle theta. Then the point (s,t) ends up at (u,v) where u = s cos (theta) + t sin (theta) v = -s sin (theta) + t cos(theta) I derived it myself from basic trigonometry functions, but here...
  2. L

    I Finding the coordinates of a point on a sphere

    I know how to do this on a plane, the trouble I am having is in, as you say, adapting the solution to a sphere. On the plane I used simple trigonometry with the coordinates of an unknown point C(X,Y) being X= a cos(alpha) + b sin(alpha) Y= -a cos(alpha) + b sin (alpha) with the coordinates of A...
  3. L

    I Finding the coordinates of a point on a sphere

    I have three points: A, B and C, which are all on the surface of the same sphere. I need to find the xyz coordinates of C. What I know: - the radius of the sphere - the origin of the sphere - the xyz coordinates of A and B - the arc distance from A to C and from B to C - the angle between AB and...
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