/// <summary>
///
/// </summary>
/// <param name="point0"></param>
/// <param name="point1"></param>
/// <param name="point2"></param>
/// <returns></returns>
public static double AreaTriangle(CartesianPoint point0, CartesianPoint point1, CartesianPoint point2)
{
GeometricVector side01 = point1.Subtract(point0);
GeometricVector side02 = point2.Subtract(point0);
GeometricVector crossProduct = side01.CrossProduct(side02);
double quadArea = crossProduct.Norm(2);
return(quadArea * 0.5);
}
public override bool IsOnLine(CartesianPoint pointToCheck)
{
GeometricVector normalizedVector = this.Vector.Normalize(2);
GeometricVector vectorToPointToCheck = this.Start.VectorTo(pointToCheck);
if (vectorToPointToCheck.X == 0 && vectorToPointToCheck.Y == 0 && vectorToPointToCheck.Z == 0)
{
// the pointToCheck is at the start of the bounded line
return(true);
}
GeometricVector normalizedVectorToPointToCheck = vectorToPointToCheck.Normalize(2);
if (!normalizedVector.Equals(normalizedVectorToPointToCheck))
{
return(false);
}
double norm = this.Vector.Norm(2);
double normToPointToCheck = vectorToPointToCheck.Norm(2);
return(normToPointToCheck <= norm);
}
