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[parent] Euclidean geometry of space (Topic)

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
  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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"Euclidean geometry of space" is owned by pahio. [ full author list (3) ]
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See Also: Euclidean geometry of plane, analytic geometry

Other names:  space geometry

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Cross-references: conic section, torus, surface of revolution, developable surface, ruled surface, generatrices of hyperbolic paraboloid, generatrices of one-sheeted hyperboloid, tangent plane of quadratic surface, quadratic surfaces, line in space, equation of plane, direction cosines, coordinate way, Torricelli's trumpet, space curve, curvature, mean curvature at surface point, Gaussian curvature, volume of solid of revolution, volume of spherical cap and spherical sector, area of spherical zone, area of a spherical triangle, perpendicular planes, angle between two planes, parallelism of two planes, parallelism of line and plane, normal of plane, angle between line and plane, angle between two lines, distance of non-parallel lines, similarity in geometry, Plato's mathematics, solid angle, surface, great circle, parts of a ball, sphere, cuboid, polyhedron, truncated cone, cone, cylinder, dihedral angle, normal plane, plane, line segment, ray, line, point, geometry
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This is version 15 of Euclidean geometry of space, born on 2007-09-11, modified 2009-02-05.
Object id is 9930, canonical name is EuclideanGeometryOfTheSpace.
Accessed 2117 times total.

Classification:
AMS MSC51-01 (Geometry :: Instructional exposition )

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