Triangle3d

References

[StructLayout(LayoutKind.Sequential, Pack = 1, Size = 72)] public struct Triangle3d

Represents a triangle, modeled using double three points that use double-precision floating point numbers.

Constructors

Triangle3d

#Since v7.1

public Triangle3d(Point3d a, Point3d b, Point3d c)

Instantiates a new triangle.

Parameters:

a (Point3d)	First point.
b (Point3d)	Second point.
c (Point3d)	Third point.

Properties

A

#Since v7.1

public Point3d A { get; }

Gets the first triangle corner.

AB

#Since v7.1

public Line AB { get; }

Gets the triangle edge connecting the A and B corners.

AltitudeA

#Since v7.1

public Line AltitudeA { get; }

Gets the altitude line starting at corner A.

AltitudeB

#Since v7.1

public Line AltitudeB { get; }

Gets the altitude line starting at corner B.

AltitudeC

#Since v7.1

public Line AltitudeC { get; }

Gets the altitude line starting at corner C.

AngleA

#Since v7.1

public double AngleA { get; }

Gets the angle at the A corner.

AngleB

#Since v7.1

public double AngleB { get; }

Gets the angle at the B corner.

AngleC

#Since v7.1

public double AngleC { get; }

Gets the angle at the C corner.

Area

#Since v7.1

public double Area { get; }

Gets the area inside this triangle.

AreaCenter

#Since v7.1

public Point3d AreaCenter { get; }

Gets the triangle area centroid.

B

#Since v7.1

public Point3d B { get; }

Gets the second triangle corner.

BC

#Since v7.1

public Line BC { get; }

Gets the triangle edge connecting the B and C corners.

BoundingBox

#Since v7.1

public BoundingBox BoundingBox { get; }

Gets the bounding box of this triangle.

C

#Since v7.1

public Point3d C { get; }

Gets the third triangle corner.

CA

#Since v7.1

public Line CA { get; }

Gets the triangle edge connecting the C and A corners.

Circumcenter

#Since v7.1

public Point3d Circumcenter { get; }

Gets the triangle circumcenter.

Circumcircle

#Since v7.1

public Circle Circumcircle { get; }

Gets the circumcircle of this triangle.

MedianA

#Since v7.1

public Line MedianA { get; }

Gets the median line starting at corner A.

MedianB

#Since v7.1

public Line MedianB { get; }

Gets the median line starting at corner B.

MedianC

#Since v7.1

public Line MedianC { get; }

Gets the median line starting at corner C.

Orthocenter

#Since v7.1

public Point3d Orthocenter { get; }

Gets the triangle orthocenter.

Perimeter

#Since v7.1

public double Perimeter { get; }

Gets the perimeter of this triangle. This is the sum of the lengths of all edges.

PerpendicularAB

#Since v7.1

public Line PerpendicularAB { get; }

Gets the perpendicular bisector for edge AB.

PerpendicularBC

#Since v7.1

public Line PerpendicularBC { get; }

Gets the perpendicular bisector for edge BC.

PerpendicularCA

#Since v7.1

public Line PerpendicularCA { get; }

Gets the perpendicular bisector for edge CA.

Methods

BarycentricCoordsAt

#Since v7.1

public Point2d BarycentricCoordsAt(Point3d point, out double signedHeight)

Gets the projection of a point onto the barycentric coordinates.

Parameters:

point (Point3d)	Point to project.
signedHeight (out double)	A value indicating the height of the intersection in world units, negative if the point is situated under the triangle.

Returns: The computed barycentric mass values relating to B and C for point.

ClosestParameterOnBoundary

#Since v7.1

public double ClosestParameterOnBoundary(Point3d point)

Gets the parameter on the triangle boundary closest to a test point.

Parameters:

point (Point3d)

ClosestPointOnBoundary

#Since v7.1

public Point3d ClosestPointOnBoundary(Point3d point)

Gets the point on the triangle boundary closest to a test point.

Parameters:

point (Point3d)

PointAlongBoundary

#Since v7.1

public Point3d PointAlongBoundary(double t)

Gets the point along the boundary of the triangle. The triangle boundary has a domain [0, 3] where each subsequent unit domain maps to a different edge.

Parameters:

t (double)

Parameter along boundary.

PointAtBarycentricCoords

#Since v7.1

public Point3d PointAtBarycentricCoords(Point2d coords)

Gets a point within this triangle using barycentric coordinates.

Parameters:

coords (Point2d)

Barycentric mass for vertex B and C. A is valued as (1 - B - C).

Returns: Point at barycentric mass.

PointOnInterior

#Since v7.1

public Point3d PointOnInterior(double u, double v)

Gets the point on the triangle using the AB and AC primary axes.

Parameters:

u (double)	Parameter along the AB edge.
v (double)	Parameter along the AC edge.

Returns: Point at parameter.

ToMesh

#Since v7.1

public Mesh ToMesh()

Create a mesh from this triangle.

ToPolyline

#Since v7.1

public Polyline ToPolyline()

Create a polyline from this triangle.

Transform

#Since v7.1

public Triangle3d Transform(Transform transform)

Transform this triangle.

Parameters:

transform (Transform)

TrySmallestEnclosingTriangle

#Since v8.4

public static bool TrySmallestEnclosingTriangle(IEnumerable<Point2d> points, double tolerance, out Triangle3d triangle)

Attempt to create the smallest triangle containing a set of planar points.

Parameters:

points (IEnumerable<Point2d>)	The points to enclose.
tolerance (double)	The tolerance to use
triangle (out Triangle3d)	The resulting triangle on success.

Returns: true on success, false on failure.

WithA

#Since v7.1

public Triangle3d WithA(Point3d a)

Replace the A corner.

Parameters:

a (Point3d)

WithB

#Since v7.1

public Triangle3d WithB(Point3d b)

Replace the B corner.

Parameters:

b (Point3d)

WithC

#Since v7.1

public Triangle3d WithC(Point3d c)

Replace the C corner.

Parameters:

c (Point3d)