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51   explicit ParametrizedLine(const Hyperplane<_Scalar, _AmbientDim>& hyperplane);
85   Scalar intersection(const Hyperplane<_Scalar, _AmbientDim>& hyperplane);
120 /** Constructs a parametrized line from a 2D hyperplane
122   * \warning the ambient space must have dimension 2 such that the hyperplane actually describes a line
125 inline ParametrizedLine<_Scalar, _AmbientDim>::ParametrizedLine(const Hyperplane<_Scalar, _AmbientDim>& hyperplane)
128   direction() = hyperplane.normal().unitOrthogonal();
129   origin() = -hyperplane.normal()*hyperplane.offset();
132 /** \returns the parameter value of the intersection between \c *this and the given hyperplane
135 inline _Scalar ParametrizedLine<_Scalar, _AmbientDim>::intersection(const Hyperplane<_Scalar, _AmbientDim>& hyperplane)
137   return -(hyperplane.offset()+origin().eigen2_dot(hyperplane.normal()))
138           /(direction().eigen2_dot(hyperplane.normal()));