//
// Return the line passing through the given point which is perpendicular to this segment.
//
public Point ProjectOnto(Point pt)
{
//
// Special Cases
//
if (this.IsVertical())
{
Point newPoint = Point.GetFigurePoint(new Point("", this.Point1.X, pt.Y));
return(newPoint != null ? newPoint : new Point("", this.Point1.X, pt.Y));
}
if (this.IsHorizontal())
{
Point newPoint = Point.GetFigurePoint(new Point("", pt.X, this.Point1.Y));
return(newPoint != null ? newPoint : new Point("", pt.X, this.Point1.Y));
}
//
// General Cases
//
// Find the line perpendicular; specifically, a point on that line
double perpSlope = -1 / Slope;
// We will choose a random value for x (to acquire y); we choose 1.
double newX = pt.X == 0 ? 1 : 0;
double newY = pt.Y + perpSlope * (newX - pt.X);
// The new perpendicular segment is defined by (newX, newY) and pt
return(new Point("", newX, newY));
}
