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Arc

Arc struct

Represents the value of a plane, two angles and a radius in a sub-curve of a three-dimensional circle. The curve is parameterized by an angle expressed in radians. For an IsValid arc the total subtended angle AngleRadians() = Domain()(1) - Domain()(0) must satisfy 0 < AngleRadians() < 2*Pi The parameterization of the Arc is inherited from the Circle it is derived from. In particular t -> center + cos(t)*radius*xaxis + sin(t)*radius*yaxis where xaxis and yaxis, (part of Circle.Plane) form an orthonormal frame of the plane containing the circle.

Namespace: Rhino.Geometry
Arc: references

Constructors (7)

Arc(Circle circle, double angleRadians)

Initializes a new instance of an arc from a base circle and an angle.

Arc(Circle circle, Interval angleIntervalRadians)

Initializes a new instance of an arc from a base circle and an interval of angles.

Arc(Plane plane, double radius, double angleRadians)

Initializes a new arc from a base plane, a radius value and an angle.

Arc(Plane plane, Point3d center, double radius, double angleRadians)

Initializes a new aligned arc at the given center point, with a custom radius and angle.

Arc(Point3d center, double radius, double angleRadians)

Initializes a new horizontal arc at the given center point, with a custom radius and angle.

Arc(Point3d pointA, Vector3d tangentA, Point3d pointB)

Initializes a new arc from end points and a tangent vector. If the tangent is parallel with the endpoints this will result in an Invalid arc.

Arc(Point3d startPoint, Point3d pointOnInterior, Point3d endPoint)

Initializes a new arc through three points. If the points are coincident or co-linear, this will result in an Invalid arc.

Properties (19)

Angle

Gets or sets the sweep -or subtended- angle (in Radians) for this arc segment.

AngleDegrees

Gets or sets the sweep -or subtended- angle (in Degrees) for this arc segment.

AngleDomain

Gets or sets the angle domain (in Radians) of this arc.

Center

Gets or sets the center point for this arc.

Circumference

Gets the circumference of the circle that is coincident with this arc.

Diameter

Gets or sets the Diameter of this arc.

EndAngle

Gets or sets the end angle (in Radians) for this arc segment.

EndAngleDegrees

Gets or sets the end angle (in Degrees) for this arc segment.

EndPoint

Gets the end point of the arc.

IsCircle

Gets a value indicating whether or not this arc is a complete circle.

IsValid

Gets a value indicating whether or not this arc is valid. Detail: Radius>0 and 0<AngleRadians()<=2*Math.Pi.

Length

Gets the length of the arc. (Length = Radius * (subtended angle in radians)).

MidPoint

Gets the mid-point of the arc.

Plane

Gets or sets the plane in which this arc lies.

Radius

Gets or sets the radius of this arc.

StartAngle

Gets or sets the start angle (in Radians) for this arc segment.

StartAngleDegrees

Gets or sets the start angle (in Degrees) for this arc segment.

StartPoint

Gets the start point of the arc.

Unset

Gets an Arc with Unset components.

Methods (14)

BoundingBox()

Computes the 3D axis aligned bounding box for this arc.

ClosestParameter(Point3d testPoint)

Gets parameter on the arc closest to a test point.

ClosestPoint(Point3d testPoint)

Computes the point on an arc that is closest to a test point.

EpsilonEquals(Arc other,Double epsilon)

Check that all values in other are within epsilon of the values in this

Equals(Arc other)

Determines whether another arc has the same value as this arc.

Equals(Object obj)

Determines whether another object is an arc and has the same value as this arc.

GetHashCode()

Computes a hash code for the present arc.

PointAt(Double t)

Gets the point at the given arc parameter.

Reverse()

Reverses the orientation of the arc. Changes the domain from [a,b] to [-b,-a].

TangentAt(Double t)

Gets the tangent at the given parameter.

ToNurbsCurve()

Initializes a nurbs curve representation of this arc. This amounts to the same as calling NurbsCurve.CreateFromArc().

ToNurbsCurve(Int32 degree,Int32 cvCount)

Create a uniform non-rational cubic NURBS approximation of an arc.

Transform(Transform xform)

Transforms the arc using a Transformation matrix.

Trim(Interval domain)

Sets arc's angle domain (in Radians) as a sub-domain of the circle.

Operators (2)

!=

Determines whether two arcs have different values.

==

Determines whether two arcs have equal values.

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