Euclidean geometry of spaceEuclideanGeometryOfTheSpace2007-09-11 14:05:522009-02-05 12:42:56Topicgeometry% this is the default PlanetMath preamble. as your knowledge
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Please help to list the existing and future entries on spatial geometry!\\
\subsubsection*{Basic objects}
\begin{enumerate}
\item point
\item line, ray, line segment
\item plane
\item normal plane
\item dihedral angle
\item cylinder
\item cone
\item truncated cone
\item polyhedron
\item cuboid
\item sphere
\item parts of a ball
\item great circle
\item surface
\item solid angle
\item Plato's mathematics
\end{enumerate}
\subsubsection*{Basic concepts and quantities}
\begin{enumerate}
\item \PMlinkname{congruence}{Congruence}
\item similarity in geometry
\item distance of non-parallel lines
\item angle between two lines
\item angle between line and plane
\item normal of plane
\item parallelism of line and plane
\item parallelism of two planes
\item angle between two planes
\item perpendicular planes
\item area of a spherical triangle
\item area of spherical zone
\item volume of spherical cap and spherical sector
\item volume of solid of revolution
\item Gaussian curvature
\item mean curvature at surface point
\item curvature (space curve)
\item Torricelli's trumpet
\end{enumerate}
\subsubsection*{Analytic geometry}
\begin{enumerate}
\item coordinate way
\item direction cosines
\item equation of plane
\item line in space
\item quadratic surfaces
\item tangent plane of quadratic surface
\item generatrices of one-sheeted hyperboloid
\item generatrices of hyperbolic paraboloid
\item ruled surface
\item developable surface
\item surface of revolution
\item torus
\item conic section
\end{enumerate}