Gets the nine-point circle of the triangle.
Namespace:
ceometric.VectorGeometryAssembly: ceometric.VectorGeometry (in ceometric.VectorGeometry.dll) Version: 1.8.0.0 (1.8.0.0)
Syntax
C# |
---|
public Circle NinePointCircle { get; } |
Visual Basic (Declaration) |
---|
Public ReadOnly Property NinePointCircle As Circle |
Visual C++ |
---|
public: property Circle^ NinePointCircle { Circle^ get (); } |
Field Value
The nine-point circle.Remarks
The nine-point circle touches all three excircles as well as the incircle.
Amongst others, it contains the mid point of each side of the triangle and the foot point of each altitude
of the triangle on its circumference. The point where the nine-point circle touches the incircle is known
as the Feuerbach point.
It has the same normal vector than the triangle.
Exceptions
Exception | Condition |
---|---|
System..::.ArithmeticException | The triangle is degenerate (vertices are collinear or identical). |