Arc2D (Math.Geometry)

Arc2D Module

Namespace: Math.Geometry
Assembly: Math.Geometry.dll

Functions and values

Function or value	Description
`boundingBox givenArc` Full Usage: `boundingBox givenArc` Parameters: givenArc : `Arc2D<'Units, 'Coordinates>` Returns: `BoundingBox2D<'Units, 'Coordinates>`	Get a bounding box for a given arc. givenArc : `Arc2D<'Units, 'Coordinates>` Returns: `BoundingBox2D<'Units, 'Coordinates>`
`centerPoint arc` Full Usage: `centerPoint arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`	arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`
`endPoint arc` Full Usage: `endPoint arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`	arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`
`firstDerivative arc parameterValue` Full Usage: `firstDerivative arc parameterValue` Parameters: arc : `Arc2D<'Units, 'Coordinates>` parameterValue : `float` Returns: `Vector2D<'Units, 'Coordinates>`	Get the first derivative of an arc at a given parameter value. arc : `Arc2D<'Units, 'Coordinates>` parameterValue : `float` Returns: `Vector2D<'Units, 'Coordinates>`
`from givenStartPoint givenEndPoint givenSweptAngle` Full Usage: `from givenStartPoint givenEndPoint givenSweptAngle` Parameters: givenStartPoint : `Point2D<'Units, 'Coordinates>` givenEndPoint : `Point2D<'Units, 'Coordinates>` givenSweptAngle : `Angle` Returns: `Arc2D<'Units, 'Coordinates>`	Construct an arc with from the first given point to the second, with the givenStartPoint : `Point2D<'Units, 'Coordinates>` givenEndPoint : `Point2D<'Units, 'Coordinates>` givenSweptAngle : `Angle` Returns: `Arc2D<'Units, 'Coordinates>`
`fromNondegenerate arc` Full Usage: `fromNondegenerate arc` Parameters: arc : `Nondegenerate<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Convert a nondegenerate arc back to a general `Arc2d`. arc : `Nondegenerate<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`midpoint arc` Full Usage: `midpoint arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`	arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`
`mirrorAcross axis arc` Full Usage: `mirrorAcross axis arc` Parameters: axis : `Axis2D<'Units, 'Coordinates>` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Mirror an arc across a given axis. This negates the sign of the arc's swept angle. axis : `Axis2D<'Units, 'Coordinates>` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`nondegenerate arc` Full Usage: `nondegenerate arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Result<Nondegenerate<'Units, 'Coordinates>, Point2D<'Units, 'Coordinates>>`	Attempt to construct a non-degenerate arc from a general `Arc2d`. If the arc is in fact degenerate (consists of a single point), returns an `Err` with that point. arc : `Arc2D<'Units, 'Coordinates>` Returns: `Result<Nondegenerate<'Units, 'Coordinates>, Point2D<'Units, 'Coordinates>>`
`placeIn frame arc` Full Usage: `placeIn frame arc` Parameters: frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` arc : `Arc2D<'Units, 'LocalCoordinates>` Returns: `Arc2D<'Units, 'GlobalCoordinates>`	Take an arc considered to be defined in local coordinates relative to a given reference frame, and return that arc expressed in global coordinates. frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` arc : `Arc2D<'Units, 'LocalCoordinates>` Returns: `Arc2D<'Units, 'GlobalCoordinates>`
`pointOn arc parameterValue` Full Usage: `pointOn arc parameterValue` Parameters: arc : `Arc2D<'Units, 'Coordinates>` parameterValue : `float` Returns: `Point2D<'Units, 'Coordinates>`	Get the point along an arc at a given parameter value. arc : `Arc2D<'Units, 'Coordinates>` parameterValue : `float` Returns: `Point2D<'Units, 'Coordinates>`
`radius arc` Full Usage: `radius arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Quantity<'Units>`	Get the radius of an arc. arc : `Arc2D<'Units, 'Coordinates>` Returns: `Quantity<'Units>`
`relativeTo frame arc` Full Usage: `relativeTo frame arc` Parameters: frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` arc : `Arc2D<'Units, 'GlobalCoordinates>` Returns: `Arc2D<'Units, 'LocalCoordinates>`	Take an arc defined in global coordinates, and return it expressed in local coordinates relative to a given reference frame. frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` arc : `Arc2D<'Units, 'GlobalCoordinates>` Returns: `Arc2D<'Units, 'LocalCoordinates>`
`reverse arc` Full Usage: `reverse arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Reverse the direction of an arc, so that the start point becomes the end point and vice versa. arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`rotateAround point angle arc` Full Usage: `rotateAround point angle arc` Parameters: point : `Point2D<'Units, 'Coordinates>` angle : `Angle` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Rotate an arc around a given point by a given angle. point : `Point2D<'Units, 'Coordinates>` angle : `Angle` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`sample nondegenerateArc parameterValue` Full Usage: `sample nondegenerateArc parameterValue` Parameters: nondegenerateArc : `Nondegenerate<'Units, 'Coordinates>` parameterValue : `float` Returns: `Point2D<'Units, 'Coordinates> * Direction2D<'Coordinates>`	Get both the point and tangent direction of a nondegenerate arc at a given parameter value. nondegenerateArc : `Nondegenerate<'Units, 'Coordinates>` parameterValue : `float` Returns: `Point2D<'Units, 'Coordinates> * Direction2D<'Coordinates>`
`scaleAbout point scale arc` Full Usage: `scaleAbout point scale arc` Parameters: point : `Point2D<'Units, 'Coordinates>` scale : `float` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Scale an arc about a given point by a given scale. point : `Point2D<'Units, 'Coordinates>` scale : `float` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`startPoint arc` Full Usage: `startPoint arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`	Get the start point of an arc. arc : `Arc2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`
`sweptAngle arc` Full Usage: `sweptAngle arc` Parameters: arc : `Arc2D<'Units, 'Coordinates>` Returns: `Angle`	Get the swept angle of an arc. The result will be positive for a arc : `Arc2D<'Units, 'Coordinates>` Returns: `Angle`
`sweptAround givenCenterPoint givenSweptAngle givenStartPoint` Full Usage: `sweptAround givenCenterPoint givenSweptAngle givenStartPoint` Parameters: givenCenterPoint : `Point2D<'Units, 'Coordinates>` givenSweptAngle : `Angle` givenStartPoint : `Point2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Construct an arc by sweeping (rotating) a given start point around a given center point by a given angle. The center point to sweep around is given first and the start point to be swept is given last. A positive swept angle means that the arc is formed by rotating the start point counterclockwise around the center point. A negative swept angle results in a clockwise arc instead. givenCenterPoint : `Point2D<'Units, 'Coordinates>` givenSweptAngle : `Angle` givenStartPoint : `Point2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`tangentDirection arc parameterValue` Full Usage: `tangentDirection arc parameterValue` Parameters: arc : `Nondegenerate<'Units, 'Coordinates>` parameterValue : `float` Returns: `Direction2D<'Coordinates>`	Get the tangent direction to a nondegenerate arc at a given parameter arc : `Nondegenerate<'Units, 'Coordinates>` parameterValue : `float` Returns: `Direction2D<'Coordinates>`
`throughPoints first second third` Full Usage: `throughPoints first second third` Parameters: first : `Point2D<'Units, 'Coordinates>` second : `Point2D<'Units, 'Coordinates>` third : `Point2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates> option`	Attempt to construct an arc that starts at the first given point, passes through the second given point and ends at the third given point: first : `Point2D<'Units, 'Coordinates>` second : `Point2D<'Units, 'Coordinates>` third : `Point2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates> option`
`translateBy displacement arc` Full Usage: `translateBy displacement arc` Parameters: displacement : `Vector2D<'Units, 'Coordinates>` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Translate an arc by a given displacement. displacement : `Vector2D<'Units, 'Coordinates>` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`translateIn direction distance arc` Full Usage: `translateIn direction distance arc` Parameters: direction : `Direction2D<'Coordinates>` distance : `Quantity<'Units>` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`	Translate an arc in a given direction by a given distance. direction : `Direction2D<'Coordinates>` distance : `Quantity<'Units>` arc : `Arc2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates>`
`withCenterPoint centerPoint radius startAngle sweptAngle` Full Usage: `withCenterPoint centerPoint radius startAngle sweptAngle` Parameters: centerPoint : `Point2D<'Units, 'Coordinates>` radius : `Quantity<'Units>` startAngle : `Angle` sweptAngle : `Angle` Returns: `Arc2D<'Units, 'Coordinates>`	Construct an arc with the given center point, radius, start angle and swept centerPoint : `Point2D<'Units, 'Coordinates>` radius : `Quantity<'Units>` startAngle : `Angle` sweptAngle : `Angle` Returns: `Arc2D<'Units, 'Coordinates>`
`withRadius radius sweptAngle startPoint endPoint` Full Usage: `withRadius radius sweptAngle startPoint endPoint` Parameters: radius : `Quantity<'Units>` sweptAngle : `SweptAngle` startPoint : `Point2D<'Units, 'Coordinates>` endPoint : `Point2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates> option`	radius : `Quantity<'Units>` sweptAngle : `SweptAngle` startPoint : `Point2D<'Units, 'Coordinates>` endPoint : `Point2D<'Units, 'Coordinates>` Returns: `Arc2D<'Units, 'Coordinates> option`
`withSweptAngle center radius startAngle sweptAngle` Full Usage: `withSweptAngle center radius startAngle sweptAngle` Parameters: center : `Point2D<'Units, 'Coordinates>` radius : `Quantity<'Units>` startAngle : `Angle` sweptAngle : `Angle` Returns: `Arc2D<'Units, 'Coordinates>`	Construct an arc with the given center point, radius, start angle and swept center : `Point2D<'Units, 'Coordinates>` radius : `Quantity<'Units>` startAngle : `Angle` sweptAngle : `Angle` Returns: `Arc2D<'Units, 'Coordinates>`