Gets the nine-point circle of the triangle.

Namespace:  ceometric.VectorGeometry
Assembly:  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

ExceptionCondition
System..::.ArithmeticExceptionThe triangle is degenerate (vertices are collinear or identical).

See Also