May 17, 2007 at 9:43 PM
Edited May 18, 2007 at 1:14 PM

I think I found a mistake in two of the overloaded constructors of the Sharp3D.Math.Geometry3D.Plane object. Looks like the sign on the equation for
_const is wrong. For a plane _const, or D where Ax + By + Cz + D = 0, is equal to the negative of the dot product of the normal vector and a point on the plane, i.e. n dot p = d. The negative sign is missing in two of the constructors. Check
out http://en.wikipedia.org/wiki/Plane_(mathematics) for verification and further information on a plane.
The following are corrected constructor overloads:
// multiline
/// <summary>
/// Initializes a new instance of the <see cref="Plane"/> class using given normal and a point.
/// </summary>
/// <param name="normal">The plane's normal vector.</param>
/// <param name="point">A point on the plane in 3D space.</param>
public Plane( Vector3F normal, Vector3F point )
{
_normal = normal;
/*
*  A 
* Given the normal n =  B  and p as an (x,y,z) point on the plane, then d is the
*  C 
* dot product, n dot p = d.
*/
_const = Vector3F.DotProduct( normal, point );
}
/// <summary>
/// Initializes a new instance of the <see cref="Plane"/> class using 3 given points.
/// </summary>
/// <param name="p0">A point on the plane in 3D space.</param>
/// <param name="p1">A point on the plane in 3D space.</param>
/// <param name="p2">A point on the plane in 3D space.</param>
public Plane( Vector3F p0, Vector3F p1, Vector3F p2 )
{
_normal = Vector3F.CrossProduct( p1  p0, p2  p0 );
_normal.Normalize( );
/*
*  A 
* Given the normal n =  B  and p as an (x,y,z) point on the plane, then d is the
*  C 
* dot product, n dot p = d.
*/
_const = Vector3F.DotProduct( _normal, p0 );
}

