/// <summary>
/// Calculates the perpendicular line from this line to the given point
/// </summary>
/// <param name="pointNotOnLine"></param>
/// <returns></returns>
public BoundedLine PerpendicularLineTo(CartesianPoint pointNotOnLine)
{
GeometricVector betweenPoints = pointNotOnLine.Subtract(this.PointOnLine);
GeometricVector normalizedLineVector = this.Vector.Normalize(2);
double projectionDistanceOfEndPointAlongLine = betweenPoints.DotProduct(normalizedLineVector);
GeometricVector vectorAlongLine = normalizedLineVector.Multiply(projectionDistanceOfEndPointAlongLine);
CartesianPoint endPointOfPerpendicularLine = this.PointOnLine.Add(vectorAlongLine);
GeometricVector result = pointNotOnLine.Subtract(endPointOfPerpendicularLine);
return(new BoundedLine(endPointOfPerpendicularLine, result));
}
/// <summary>
/// Calculates the perpendicular line from this line to the given point
/// </summary>
/// <param name="pointNotOnLine"></param>
/// <returns></returns>
public GeometricVector PerpendicularLineTo(CartesianPoint pointOnLine, CartesianPoint pointToCalculatePerpendicularVectorTo)
{
GeometricVector betweenPoints = pointToCalculatePerpendicularVectorTo.Subtract(pointOnLine);
GeometricVector normalizedLineVector = this.Normalize(2);
double projectionDistanceOfEndPointAlongLine = betweenPoints.DotProduct(normalizedLineVector);
GeometricVector scaledVectorAlongLine = normalizedLineVector.Multiply(projectionDistanceOfEndPointAlongLine);
CartesianPoint startPointOfPerpendicularLine = pointOnLine.Add(scaledVectorAlongLine);
GeometricVector result = pointToCalculatePerpendicularVectorTo.Subtract(startPointOfPerpendicularLine);
return(result);
}
