Triangle_3<Kernel>

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Class

CGAL::Triangle_3<Kernel>

Definition

An object t of the class Triangle_3<Kernel> is a triangle in the three-dimensional Euclidean space

³. As the triangle is not a full-dimensional object there is only a test whether a point lies on the triangle or not.

Creation

Triangle_3<Kernel> t ( Point_3<Kernel> p, Point_3<Kernel> q, Point_3<Kernel> r);
	introduces a triangle t with vertices p, q and r.

Operations

bool	t.operator== ( t2) const	Test for equality: two triangles t and t₂ are equal, iff there exists a cyclic permutation of the vertices of t2, such that they are equal to the vertices of t.

bool	t.operator!= ( t2) const	Test for inequality.

Point_3<Kernel>	t.vertex ( int i) const	returns the i'th vertex modulo 3 of t.

Point_3<Kernel>	t.operator[] ( int i) const	returns vertex(int i).

Plane_3<Kernel>	t.supporting_plane ()	returns the supporting plane of t, with same orientation.

Predicates

bool	t.is_degenerate () const	t is degenerate if its vertices are collinear.

bool	t.has_on ( Point_3<Kernel> p) const
		A point is on t, if it is on a vertex, an edge or the face of t.

Miscellaneous

Kernel::FT	t.squared_area () const	returns a square of the area of t.

Bbox_3	t.bbox () const	returns a bounding box containing t.

Triangle_3<Kernel>	t.transform ( Aff_transformation_3<Kernel> at) const
		returns the triangle obtained by applying at on the three vertices of t.

See Also

Kernel::Triangle_3

Next: Vector_3<Kernel>

Navigation: Up Table of Contents Package Overview Bibliography Index Title Acknowledging CGAL

CGAL Open Source Project. Release 4.2. 7 March 2013.