CoreandServices.book - Ocean - Schlumberger

Geometry
You can also use a constructor that takes a point on the plane and a direction normal to
the plane pointing up from the positive face of the plane.
A plane constructed with a given normal will not be equal to a plane constructed with a
normal pointing in the opposite direction.
Point3 pt = new Point3(10.0, 10.0, 20.0) ;
Direction3 normal = new Direction3(100.0, 50.0, 0.0);
Plane3 myPlane = new Plane3(pt, normal);
Here is construction from three points:
Plane3 myPlane = new Plane3(ptA, ptB, ptC);
The points must be given a counter-clockwise order, since computation of the normal
defining the plane will be done using the cross product of the vectors AB and AC, where
AC must be oriented in a counter-clockwise direction from AB. If the three points are colinear,
or are mutually equal, then the plane will be defined using point A and will have a
zero direction (i.e. the plane is degenerate).
The public properties for Plane3 include:
DefiningPoint - This property gets a point on the plane used to define the plane.
Point3 pt1 = new Point3(10, 10, 10);
Direction3 di1 = new Direction3(5, 5, 5);
Plane3 pl1 = new Plane3(pt1, di1);
Point3 defPt = pl1.DefiningPoint;
//defPt is {(10,10,10)}
Normal - This property gets the direction normal to the plane used to define the plane.
Direction3 dir = pl1.Normal;
//dir is {(5,5,5)}
IsDegenerate - This property returns true if the plane is degenerated to a point.
Point3 pt1 = new Point3(10, 10, 10);
Point3 pt2 = new Point3(20, 20, 20);
Point3 pt3 = new Point3(30, 30, 30);
Plane3 pl2 = new Plane3(pt1, pt2, pt3);
bool result = pl2.IsDegenerate;
//result is true;
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Ocean Services 4-179