private static ILineEntity GetPerpBisector(Point startPt, Point endPt,
IPlaneEntity planeOfCircle)
{
Vector dir = startPt.DirectionTo(endPt);
dir = dir.Normalize();
IPointEntity midPt = HostFactory.Factory.CreatePoint((startPt.X + endPt.X) / 2, (startPt.Y + endPt.Y) / 2, (startPt.Z + endPt.Z) / 2);
// get the perpendicular plane to plane of circle at mid point of segment[startPt, endPt]
//
IPlaneEntity perpPlane = HostFactory.Factory.PlaneByOriginNormal(midPt, dir.IVector);
// this intersection results in line perp to segment[startPt, endPt] & plane normal
// and happens to be the perpBisector of mentioned segment in planeOfCircle
//
ILineEntity perpBisector = planeOfCircle.IntersectWith(perpPlane);
return(perpBisector);
}
/// <summary>
///
/// </summary>
/// <param name="origin">the origin of the CoordinateSystem to be constructed</param>
/// <param name="xPoint">a point on the X-axis</param>
/// <param name="yPoint">a point on the Y-axis</param>
/// <param name="isSheared">'sheared' flag determines if the axes stay sheared or be made orthogonal.</param>
/// <param name="isNormalized">'normalized' flag determines if the axes are normalized or not.</param>
/// <returns></returns>
public static CoordinateSystem ByThreePoints(Point origin, Point xPoint, Point yPoint, bool isSheared, bool isNormalized)
{
if (origin == null)
throw new System.ArgumentNullException("origin");
else if (xPoint == null)
throw new System.ArgumentNullException("xPoint");
else if (yPoint == null)
throw new System.ArgumentNullException("yPoint");
var xAxis = origin.DirectionTo(xPoint);
var yAxis = origin.DirectionTo(yPoint);
var zAxis = xAxis.Cross(yAxis);
var coordSys = ByOriginVectors(origin, xAxis, yAxis, zAxis, isSheared, isNormalized);
if (null == coordSys)
throw new System.Exception(string.Format(Properties.Resources.OperationFailed, "CoordinateSystem.ByThreePoints"));
coordSys.XPoint = xPoint;
coordSys.YPoint = yPoint;
return coordSys;
}
