Step-by-step construction of a parabola in 3 dimensional space. The curve may have any orientation.
Orientation is controlled by three free parameters:
-a point on the line where F is perpendicular
-an angle of rotation out about the line.
-distance from the line to F
Worksheet 2 of 2:
1. Vector parabola from three points in the plane. Classical definition; the points are the focus F and two points A and B determining the Directrix line.
[b]*2. Transformation to 3-space.[/b]
[b]Notes:[/b]
Once a plane of reference is chosen, the 2D formula can be applied without alteration. The equation is ready for Object-Oriented code.
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