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@ -36,10 +36,10 @@ of degree up to~2.}
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\ccNestedType{Root_of_8_1}{A model of
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\ccNestedType{Root_of_8_1}{A model of
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\ccc{RootOf_8_1}, for algebraic numbers
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\ccc{RootOf_8_1}, for algebraic numbers
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of degreee at most 8}
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of degree at most 8}
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\ccGlue
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\ccGlue
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\ccNestedType{Root_of_8_3}{A model of
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\ccNestedType{Root_of_8_3}{A model of
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\ccc{AlgebraicKernelForQuadric::Root_of_8_3}, for
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\ccc{AlgebraicKernelForQuadrics::Root_of_8_3}, for
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solutions of systems of three models of
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solutions of systems of three models of
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\ccc{AlgebraicKernelForQuadrics::Polynomial_2_3}.}
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\ccc{AlgebraicKernelForQuadrics::Polynomial_2_3}.}
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@ -21,9 +21,6 @@
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\ccMethod{QuadricalKernel_3::Curve_3 supporting_curve();}{}
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\ccMethod{QuadricalKernel_3::Curve_3 supporting_curve();}{}
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%A circular arc is supposed to be oriented counterclockwise, from
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%\ccc{source} to \ccc{target}.
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\ccMethod{QuadricalKernel_3::Curve_point_3 source();}{Only valid if source
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\ccMethod{QuadricalKernel_3::Curve_point_3 source();}{Only valid if source
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is finite.}
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is finite.}
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\ccGlue
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\ccGlue
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@ -34,7 +31,7 @@ is finite.}
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\ccFunction{istream& operator>> (std::istream& is, Curve_arc_3 & ca);}{}
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\ccFunction{istream& operator>> (std::istream& is, Curve_arc_3 & ca);}{}
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\ccGlue
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\ccGlue
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\ccFunction{ostream& operator<< (std::ostream& os, const Circular_arc_3 & ca);}{}
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\ccFunction{ostream& operator<< (std::ostream& os, const Curve_arc_3 & ca);}{}
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\ccSeeAlso
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\ccSeeAlso
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@ -4,7 +4,7 @@
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\ccIsModel
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\ccIsModel
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\ccc{QuadricalKernal_3::CurvePoint_3}
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\ccc{QuadricalKernel_3::CurvePoint_3}
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\ccCreation
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\ccCreation
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\ccCreationVariable{p}
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\ccCreationVariable{p}
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@ -12,48 +12,48 @@
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\ccThree{Curve_point_3}{spc.is_x_monotone()}{}
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\ccThree{Curve_point_3}{spc.is_x_monotone()}{}
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\ccThreeToTwo
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\ccThreeToTwo
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\ccConstructor{Curve_point_3(const QuadricalKernal_3::Point_3 &p)}{}
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\ccConstructor{Curve_point_3(const QuadricalKernel_3::Point_3 &p)}{}
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\ccConstructor{Curve_point_3(const QuadricalKernal_3::Root_of_3 &r)}{}
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\ccConstructor{Curve_point_3(const QuadricalKernel_3::Root_of_3 &r)}{}
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\ccAccessFunctions
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\ccAccessFunctions
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\ccThree{CurvedKernel::Root_of_3}{ca.is_x_monotone()}{}
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\ccThree{CurvedKernel::Root_of_3}{ca.is_x_monotone()}{}
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\ccThreeToTwo
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\ccThreeToTwo
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%\ccMethod{const QuadricalKernal_3::Root_of_1 & x();}{$x$-coordinate of the point.}
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%\ccMethod{const QuadricalKernel_3::Root_of_1 & x();}{$x$-coordinate of the point.}
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%\ccGlue
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%\ccGlue
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%\ccMethod{const QuadricalKernal_3::Root_of_1 & y();}{$y$-coordinate of the point.}
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%\ccMethod{const QuadricalKernel_3::Root_of_1 & y();}{$y$-coordinate of the point.}
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%\ccGlue
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%\ccGlue
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%\ccMethod{const QuadricalKernal_3::Root_of_1 & z();}{$z$-coordinate of the point.}
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%\ccMethod{const QuadricalKernel_3::Root_of_1 & z();}{$z$-coordinate of the point.}
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\ccMethod{Bbox_3 bbox() const;}
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\ccMethod{Bbox_3 bbox() const;}
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{Returns a bounding box around the point.}
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{Returns a bounding box around the point.}
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\ccOperations
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\ccOperations
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\ccFunction{bool operator==(const Curve_point_3<QuadricalKernal_3> &p,
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\ccFunction{bool operator==(const Curve_point_3<QuadricalKernel_3> &p,
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const Curve_point_3<QuadricalKernal_3> &q);}
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const Curve_point_3<QuadricalKernel_3> &q);}
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{Test for equality. Two points are equal, iff their coordinates are equal.}
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{Test for equality. Two points are equal, iff their coordinates are equal.}
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\ccFunction{bool operator!=(const Curve_point_3<QuadricalKernal_3> &p,
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\ccFunction{bool operator!=(const Curve_point_3<QuadricalKernel_3> &p,
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const Curve_point_3<QuadricalKernal_3> &q);}
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const Curve_point_3<QuadricalKernel_3> &q);}
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{Test for nonequality.}
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{Test for non-equality.}
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\ccFunction{bool operator<(const Curve_point_3<QuadricalKernal_3> &p,
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\ccFunction{bool operator<(const Curve_point_3<QuadricalKernel_3> &p,
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const Curve_point_3<QuadricalKernal_3> &q);}
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const Curve_point_3<QuadricalKernel_3> &q);}
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{Returns true iff $p$ is lexicographically smaller than $q$. First compare $x$-coordinates, if equal compare $y$-coordinates, if equal compare $z$-coordinates.}
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{Returns true iff $p$ is lexicographically smaller than $q$. First compare $x$-coordinates, if equal compare $y$-coordinates, if equal compare $z$-coordinates.}
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\ccFunction{bool operator>(const Curve_point_3<QuadricalKernal_3> &p,
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\ccFunction{bool operator>(const Curve_point_3<QuadricalKernel_3> &p,
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const Curve_point_3<QuadricalKernal_3> &q);}
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const Curve_point_3<QuadricalKernel_3> &q);}
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{Returns true iff $p$ is lexicographically greater than $q$.}
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{Returns true iff $p$ is lexicographically greater than $q$.}
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\ccFunction{bool operator<=(const Curve_point_3<QuadricalKernal_3> &p,
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\ccFunction{bool operator<=(const Curve_point_3<QuadricalKernel_3> &p,
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const Curve_point_3<QuadricalKernal_3> &q);}
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const Curve_point_3<QuadricalKernel_3> &q);}
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{Returns true iff $p$ is lexicographically smaller than or equal to $q$.}
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{Returns true iff $p$ is lexicographically smaller than or equal to $q$.}
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\ccFunction{bool operator>=(const Curve_point_3<QuadricalKernal_3> &p,
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\ccFunction{bool operator>=(const Curve_point_3<QuadricalKernel_3> &p,
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const Curve_point_3<QuadricalKernal_3> &q);}
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const Curve_point_3<QuadricalKernel_3> &q);}
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{Returns true iff $p$ is lexicographically greater than or equal to $q$.}
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{Returns true iff $p$ is lexicographically greater than or equal to $q$.}
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\ccHeading{I/O}
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\ccHeading{I/O}
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@ -43,7 +43,7 @@ and depending on the types \ccc{Type_1} and \ccc{Type_2}, the computed
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where the unsigned integer is the multiplicity of the corresponding
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where the unsigned integer is the multiplicity of the corresponding
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intersection point between \ccc{obj_1} and \ccc{obj_2},
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intersection point between \ccc{obj_1} and \ccc{obj_2},
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\item {} \ccc{Type_1}, when \ccc{Type_1} and \ccc{Type_2} are equal, and
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\item {} \ccc{Type_1}, when \ccc{Type_1} and \ccc{Type_2} are equal, and
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if the two objets \ccc{obj1} and \ccc{obj2} are equal,
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if the two objects \ccc{obj1} and \ccc{obj2} are equal,
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\item {} \ccc{QuadricalKernel_3::Curve_arc_3} in case of an overlap of
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\item {} \ccc{QuadricalKernel_3::Curve_arc_3} in case of an overlap of
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two arcs
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two arcs
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\end{itemize}
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\end{itemize}
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intersection point,
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intersection point,
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\item {} \ccc{QuadricalKernel_3::Curve_3} or
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\item {} \ccc{QuadricalKernel_3::Curve_3} or
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\item {} \ccc{Type_1}, when \ccc{Type_1}, \ccc{Type_2} and \ccc{Type_3}
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\item {} \ccc{Type_1}, when \ccc{Type_1}, \ccc{Type_2} and \ccc{Type_3}
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are equal, and if the three objets \ccc{obj1} and \ccc{obj2} and \ccc{obj3}
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are equal, and if the three objects \ccc{obj1} and \ccc{obj2} and \ccc{obj3}
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are equal.
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are equal.
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\end{itemize}
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\end{itemize}
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\ccMethod{QuadricalKernel_3Kernel::Bbox_3 bbox();}{}
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\ccMethod{QuadricalKernel_3Kernel::Bbox_3 bbox();}{}
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\ccFunction{bool operator==(const Quadric_3<QuadricalKernel_3> &p,
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\ccFunction{bool operator==(const Quadric_3<QuadricalKernel_3> &p,
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const Qaudric_3<QuadricalKernel_3> &q);}{}
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const Quadric_3<QuadricalKernel_3> &q);}{}
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\end{ccRefClass}
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\end{ccRefClass}
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@ -39,8 +39,8 @@ It seems that a triangular patch consisting of three instances of
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But it is not possible to define an instance of \ccc{Quadric_3} that
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But it is not possible to define an instance of \ccc{Quadric_3} that
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passes through two given instances of \ccc{Curve_point_3}. This implies
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passes through two given instances of \ccc{Curve_point_3}. This implies
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that there is no way to find a third arc that can form together with two
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that there is no way to find a third arc that can form together with two
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given arcs a triangular patch. In other words, onbe could say, that
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given arcs a triangular patch. In other words, one could say, that
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it is not possible to do iteratative constructions.
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it is not possible to do iterative constructions.
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A model of \ccc{QuadricalKernel_3} must also provide predicates,
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A model of \ccc{QuadricalKernel_3} must also provide predicates,
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constructions and other functionalities.
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constructions and other functionalities.
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