/// <summary>
/// Geo Arc Constructor: Vertex, Vertex, Vertex (V3)
/// The V3 Constructor takes three vertices that the arc must pass through and
/// calculates all of the other properties of the arc
/// </summary>
/// <param name="vertex0">The Starting Vertex</param>
/// <param name="middleVertex">The Middle Vertex</param>
/// <param name="vertex1">The Ending Vertex</param>
public GeoArc(Vertex vertex0, Vertex middleVertex, Vertex vertex1)
{
// Vertex 0
_vertex0 = vertex0;
Vertex0.PropertyChanged += Vertex0OnPropertyChanged;
// Middle Vertex
_arcMiddleVertex = middleVertex;
MiddleVertex.PropertyChanged += MiddleVertexOnPropertyChanged;
// Vertex 1
_vertex1 = vertex1;
Vertex1.PropertyChanged += Vertex1OnPropertyChanged;
// Center Vertex
_centerVertex = CalcCenterVertex(Vertex0, MiddleVertex, Vertex1);
CenterVertex.PropertyChanged += CenterVertexOnPropertyChanged;
// Starting Angle
_startAngle = Vector.AngleBetweenVectors(
new Vector(CenterVertex, vertex0), UnitVectors.XUnitVector
);
// Ending Angle
_endAngle = Vector.AngleBetweenVectors(
new Vector(CenterVertex, Vertex1), UnitVectors.XUnitVector
);
// Total Angle
Angle = EndAngle - StartAngle;
// Bulge
_bulge = Bulge.CalcBulge(Angle);
// Radius
_radius = GeoMath.Distance(CenterVertex, vertex0);
// Geometric Properties
Length = CalcLength();
Area = CalcArea();
}
/// <summary>
/// The Radius of the Bulge
/// </summary>
/// <param name="v0">The Stating Vertex</param>
/// <param name="v1">The Ending Vertex</param>
/// <param name="angle">The Total Angle of the arc</param>
/// <returns></returns>
public static double Radius(Vertex v0, Vertex v1, double angle)
{
return(GeoMath.Distance(v0, v1) / (2 * Math.Sin(angle / 2)));
}
