Euclidean geometry of space
Please help to list the existing and future entries on spatial geometry
!
Basic objects
- 1.
point
- 2.
line, ray, line segment
- 3.
plane
- 4.
normal plane
- 5.
dihedral angle
- 6.
cylinder
- 7.
cone
- 8.
truncated cone
- 9.
polyhedron
- 10.
cuboid
- 11.
sphere
- 12.
parts of a ball
- 13.
great circle
- 14.
surface
- 15.
solid angle
- 16.
Plato’s mathematics
Basic concepts and quantities
- 1.
congruence (http://planetmath.org/Congruence)
- 2.
similarity in geometry
- 3.
distance of non-parallel lines
- 4.
angle between two lines
- 5.
angle between line and plane
- 6.
normal of plane
- 7.
parallelism of line and plane
- 8.
parallelism of two planes
- 9.
angle between two planes
- 10.
perpendicular planes
- 11.
area of a spherical triangle
- 12.
area of spherical zone
- 13.
volume of spherical cap and spherical sector
- 14.
volume of solid of revolution
- 15.
Gaussian curvature
- 16.
mean curvature at surface point
- 17.
curvature
(space curve
- 18.
Torricelli’s trumpet
Analytic geometry
- 1.
coordinate way
- 2.
direction cosines
- 3.
equation of plane
- 4.
line in space
- 5.
quadratic surfaces
- 6.
tangent plane of quadratic surface
- 7.
generatrices of one-sheeted hyperboloid
- 8.
generatrices of hyperbolic paraboloid
- 9.
ruled surface
- 10.
developable surface
- 11.
surface of revolution
- 12.
torus
- 13.
conic section