XCone (Euclid)

XCone Type

Namespace: Euclid
Assembly: Euclid.dll
Parent Module: XLine3D
Base Type: obj
All Interfaces: IEquatable<XCone> , IStructuralEquatable , IComparable<XCone> , IComparable , IStructuralComparable

Result of intersecting an infinite line with one nappe of an infinite cone (only the part of the cone on the base side of the tip, not the mirrored double cone). All parameters are in the parametrization of the line: t=0 at ray.From, t=1 at ray.To, values outside 0..1 (including negative ones) lie on the infinite extension.

Union cases

Union case	Description
`Intersecting(float, float)` Full Usage: `Intersecting(float, float)` Parameters: Item1 : `float` Item2 : `float`	The line crosses the cone surface at two distinct points, both on the lower nappe. Contains both parameters on the line, sorted ascending. Item1 : `float` Item2 : `float`
`IntersectingOne float` Full Usage: `IntersectingOne float` Parameters: Item : `float`	The line crosses the cone surface transversally at exactly one point of the lower nappe. This happens when the second root of the quadratic lies on the mirrored upper nappe, or when the line is parallel to a generator line of the cone (the quadratic degenerates to linear). Unlike 'Touching' this is a true crossing from outside to inside. Item : `float`
`LineOnCone(tipParam, onConeTowardsPositiveT)` Full Usage: `LineOnCone(tipParam, onConeTowardsPositiveT)` Parameters: tipParam : `float` onConeTowardsPositiveT : `bool`	The line lies on the cone surface: it is a generator line through the tip. Since only the lower nappe counts as the cone, just the half-line starting at the tip lies on the cone: tipParam is the parameter of the tip on the line. If onConeTowardsPositiveT is true the on-cone half is t >= tipParam, otherwise t <= tipParam. tipParam : `float` onConeTowardsPositiveT : `bool`
`NoIntersection` Full Usage: `NoIntersection`	The line misses the cone entirely. (This includes lines that would only hit the mirrored upper nappe of the double cone.)
`ThroughTip float` Full Usage: `ThroughTip float` Parameters: Item : `float`	The line passes through the tip (apex) point only and is not on the cone surface. Item : `float`
`Touching float` Full Usage: `Touching float` Parameters: Item : `float`	The line touches the cone surface tangentially at exactly one point of the lower nappe. (Double root of the quadratic, touch point is not the tip.) Item : `float`

Instance members

Instance member	Description
`this.IsIntersecting` Full Usage: `this.IsIntersecting` Returns: `bool`	Returns: `bool`
`this.IsIntersectingOne` Full Usage: `this.IsIntersectingOne` Returns: `bool`	Returns: `bool`
`this.IsLineOnCone` Full Usage: `this.IsLineOnCone` Returns: `bool`	Returns: `bool`
`this.IsNoIntersection` Full Usage: `this.IsNoIntersection` Returns: `bool`	Returns: `bool`
`this.IsThroughTip` Full Usage: `this.IsThroughTip` Returns: `bool`	Returns: `bool`
`this.IsTouching` Full Usage: `this.IsTouching` Returns: `bool`	Returns: `bool`