elliptic geometry การใช้

• A great deal of Euclidean geometry carries over directly to elliptic geometry.
• Other applications are in statistics, and another is in elliptic geometry.
• This description gives the standard model of elliptic geometry.
• This results in a surface possessing elliptic geometry.
• Riemann's elliptic geometry emerges as the most natural geometry satisfying this axiom.
• This universe is actually the real projective plane with a metric : elliptic geometry.
• The Pythagorean theorem fails in elliptic geometry.
• The geometry that results is called ( plane ) " Elliptic geometry ".
• Elliptic geometry has a variety of properties that differ from those of classical Euclidean plane geometry.
• These early attempts did, however, provide some early properties of the hyperbolic and elliptic geometries.
• In the latter case one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries.
• :To put this simply, our eyes use elliptic geometry and a flat canvas uses Euclidean geometry.
• Also, in elliptic geometry, the sum of the angles in any triangle is greater than 180?
• The resulting structure, a model of elliptic geometry, satisfies the axioms of plane geometry except the parallel postulate.
• Elliptic geometry is also like Euclidean geometry in that space is continuous, homogeneous, isotropic, and without boundaries.
• Arithmetic for the theorem to apply . ) It therefore follows that elementary elliptic geometry is also self-consistent and complete.
• Since the projective plane is a model of elliptic geometry, such groups are called " elliptic " triangle groups.
• However, the principle is now accepted as the basis of elliptic geometry, where both the second and fifth postulates are rejected.
• If you take Euclidean geometry and delete the parallel postulate, are the hyperbolic geometry and the elliptic geometry the only two possible geometries?
• A notable property of the projective elliptic geometry is that for even dimensions, such as the plane, the geometry is non-orientable.