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

单词	EuclideanGeometryOfSpace
释义	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
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