mirror of https://github.com/CGAL/cgal
57 lines
2.0 KiB
TeX
57 lines
2.0 KiB
TeX
\begin{ccRefFunction}{circumcenter}
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\ccFunction{Point_2<Kernel>
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circumcenter( const Point_2<Kernel>& p,
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const Point_2<Kernel>& q);}
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{compute the center of the smallest circle passing through the points $p$ and
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$q$. Note: this is the same as \ccc{CGAL::midpoint(p, q)} but is provided
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for homogeneity. }
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\ccFunction{Point_2<Kernel>
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circumcenter( const Point_2<Kernel>& p,
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const Point_2<Kernel>& q,
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const Point_2<Kernel>& r);}
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{compute the center of the circle passing through the points $p$, $q$, and $r$.
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\ccPrecond $p$, $q$, and $r$ are not collinear.}
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\ccFunction{Point_2<Kernel>
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circumcenter( const Triangle_2<Kernel>& t);}
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{compute the center of the circle passing through the vertices of $t$.
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\ccPrecond $t$ is not degenerate.}
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\ccFunction{Point_3<Kernel>
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circumcenter( const Point_3<Kernel>& p,
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const Point_3<Kernel>& q);}
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{compute the center of the smallest sphere passing through the points $p$ and
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$q$. Note: this is the same as \ccc{CGAL::midpoint(p, q)} but is provided
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for homogeneity. }
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\ccFunction{Point_3<Kernel>
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circumcenter( const Point_3<Kernel>& p,
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const Point_3<Kernel>& q,
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const Point_3<Kernel>& r);}
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{compute the center of the circle passing through the points $p$, $q$, and $r$.
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\ccPrecond $p$, $q$, and $r$ are not collinear.}
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\ccFunction{Point_3<Kernel>
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circumcenter( const Triangle_3<Kernel>& t);}
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{compute the center of the circle passing through the vertices of $t$.
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\ccPrecond $t$ is not degenerate.}
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\ccFunction{Point_3<Kernel>
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circumcenter( const Point_3<Kernel>& p,
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const Point_3<Kernel>& q,
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const Point_3<Kernel>& r,
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const Point_3<Kernel>& s);}
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{compute the center of the sphere passing through the points $p$, $q$, $r$, and $s$.
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\ccPrecond $p$, $q$, $r$, and $s$ are not coplanar.}
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\ccFunction{Point_3<Kernel>
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circumcenter( const Tetrahedron_3<Kernel>& t);}
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{compute the center of the sphere passing through the vertices of $t$.
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\ccPrecond $t$ is not degenerate.}
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\end{ccRefFunction}
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