Triangle2D (Math.Geometry)

Triangle2D Module

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

Functions and values

Function or value	Description
`area triangle` Full Usage: `area triangle` Parameters: triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Quantity<Squared<'Units>>`	Get the area of a triangle. The result will always be positive regardless of whether the triangle's vertices are in clockwise or counterclockwise order. triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Quantity<Squared<'Units>>`
`centroid triangle` Full Usage: `centroid triangle` Parameters: triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`	Get the centroid (center of mass) of a triangle. triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates>`
`circumcircle triangle` Full Usage: `circumcircle triangle` Parameters: triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Circle2D<'Units, 'Coordinates> option`	Attempt to find the circumcircle of a triangle, a circle that passes through each of the triangle's vertices; If the triangle is degenerate (its three vertices are collinear), returns `None`. triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Circle2D<'Units, 'Coordinates> option`
`clockwiseArea triangle` Full Usage: `clockwiseArea triangle` Parameters: triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Quantity<Squared<'Units>>`	Get the signed area of a triangle, returning a positive value if the triangle's vertices are in clockwise order and a negative value otherwise. triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Quantity<Squared<'Units>>`
`contains point triangle` Full Usage: `contains point triangle` Parameters: point : `Point2D<'Units, 'Coordinates>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `bool`	Check whether a given point is inside a given triangle. It does not matter whether the triangle's vertices are in clockwise or counterclockwise order. point : `Point2D<'Units, 'Coordinates>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `bool`
`counterclockwiseArea triangle` Full Usage: `counterclockwiseArea triangle` Parameters: triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Quantity<Squared<'Units>>`	Get the signed area of a triangle, returning a positive value if the triangle's vertices are in counterclockwise order and a negative value otherwise. triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Quantity<Squared<'Units>>`
`edges triangle` Full Usage: `edges triangle` Parameters: triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `LineSegment2D<'Units, 'Coordinates> * LineSegment2D<'Units, 'Coordinates> * LineSegment2D<'Units, 'Coordinates>`	Get the edges of a triangle: from the first vertex to the second, from the second to the third, and from the third back to the first. triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `LineSegment2D<'Units, 'Coordinates> * LineSegment2D<'Units, 'Coordinates> * LineSegment2D<'Units, 'Coordinates>`
`from p1 p2 p3` Full Usage: `from p1 p2 p3` Parameters: p1 : `Point2D<'Units, 'Coordinates>` p2 : `Point2D<'Units, 'Coordinates>` p3 : `Point2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`	Construct a triangle from the first point, to the second, to the third. p1 : `Point2D<'Units, 'Coordinates>` p2 : `Point2D<'Units, 'Coordinates>` p3 : `Point2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`
`fromVertices (arg1, arg2, arg3)` Full Usage: `fromVertices (arg1, arg2, arg3)` Parameters: arg0 : `Point2D<'Units, 'Coordinates>` arg1 : `Point2D<'Units, 'Coordinates>` arg2 : `Point2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`	Construct a triangle from its three vertices. arg0 : `Point2D<'Units, 'Coordinates>` arg1 : `Point2D<'Units, 'Coordinates>` arg2 : `Point2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`
`mirrorAcross axis triangle` Full Usage: `mirrorAcross axis triangle` Parameters: axis : `Axis2D<'Units, 'Coordinates>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`	Mirror a triangle across a given axis. Note that mirroring a triangle will result in its 'winding direction' being flipped - if the triangle's vertices were in counterclockwise order before mirroring, they will be in clockwise order afterwards and vice versa. axis : `Axis2D<'Units, 'Coordinates>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`
`placeIn frame triangle` Full Usage: `placeIn frame triangle` Parameters: frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` triangle : `Triangle2D<'Units, 'LocalCoordinates>` Returns: `Triangle2D<'Units, 'GlobalCoordinates>`	Take a triangle considered to be defined in local coordinates relative to a given reference frame, and return that triangle expressed in global coordinates. frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` triangle : `Triangle2D<'Units, 'LocalCoordinates>` Returns: `Triangle2D<'Units, 'GlobalCoordinates>`
`relativeTo frame triangle` Full Usage: `relativeTo frame triangle` Parameters: frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` triangle : `Triangle2D<'Units, 'GlobalCoordinates>` Returns: `Triangle2D<'Units, 'LocalCoordinates>`	Take a triangle defined in global coordinates, and return it expressed in local coordinates relative to a given reference frame. frame : `Frame2D<'Units, 'GlobalCoordinates, 'LocalCoordinates>` triangle : `Triangle2D<'Units, 'GlobalCoordinates>` Returns: `Triangle2D<'Units, 'LocalCoordinates>`
`rotateAround centerPoint angle triangle` Full Usage: `rotateAround centerPoint angle triangle` Parameters: centerPoint : `Point2D<'Units, 'Coordinates>` angle : `Angle` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`	Rotate a triangle around a given point by a given angle. centerPoint : `Point2D<'Units, 'Coordinates>` angle : `Angle` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`
`scaleAbout point scale triangle` Full Usage: `scaleAbout point scale triangle` Parameters: point : `Point2D<'Units, 'Coordinates>` scale : `float` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`	Scale a triangle about a given point by a given scale. Note that scaling by a negative value will result in the 'winding direction' of the triangle being flipped - if the triangle's vertices were in counterclockwise order before the negative scaling, they will be in clockwise order afterwards and vice versa. point : `Point2D<'Units, 'Coordinates>` scale : `float` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`
`translateBy vector triangle` Full Usage: `translateBy vector triangle` Parameters: vector : `Vector2D<'Units, 'Coordinates>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`	Translate a triangle by a given displacement. vector : `Vector2D<'Units, 'Coordinates>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`
`translateIn direction distance triangle` Full Usage: `translateIn direction distance triangle` Parameters: direction : `Direction2D<'Coordinates>` distance : `Quantity<'Units>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`	Translate a triangle in a given direction by a given distance. direction : `Direction2D<'Coordinates>` distance : `Quantity<'Units>` triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Triangle2D<'Units, 'Coordinates>`
`vertices triangle` Full Usage: `vertices triangle` Parameters: triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates> * Point2D<'Units, 'Coordinates> * Point2D<'Units, 'Coordinates>`	Get the three vertices of the triangle triangle : `Triangle2D<'Units, 'Coordinates>` Returns: `Point2D<'Units, 'Coordinates> * Point2D<'Units, 'Coordinates> * Point2D<'Units, 'Coordinates>`