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- Angle_of_parallelism abstract "In hyperbolic geometry, the angle of parallelism φ, also known as Π(p), is the angle at one vertex of a right hyperbolic triangle that has two asymptotic parallel sides. The angle depends on the segment length a between the right angle and the vertex of the angle of parallelism φ. Given a point off of a line, if we drop a perpendicular to the line from the point, then a is the distance along this perpendicular segment, and φ is the least angle such that the line drawn through the point at that angle does not intersect the given line. Since two sides are asymptotic parallel, These five equivalent expressions relate φ and a: where gd is the Gudermannian function.".
- Angle_of_parallelism thumbnail Angle_of_parallelism_half_plane_model.svg?width=300.
- Angle_of_parallelism wikiPageID "1341579".
- Angle_of_parallelism wikiPageRevisionID "563586991".
- Angle_of_parallelism hasPhotoCollection Angle_of_parallelism.
- Angle_of_parallelism subject Category:Angle.
- Angle_of_parallelism subject Category:Functions_and_mappings.
- Angle_of_parallelism subject Category:Hyperbolic_geometry.
- Angle_of_parallelism type Abstraction100002137.
- Angle_of_parallelism type Function113783816.
- Angle_of_parallelism type FunctionsAndMappings.
- Angle_of_parallelism type MathematicalRelation113783581.
- Angle_of_parallelism type Relation100031921.
- Angle_of_parallelism comment "In hyperbolic geometry, the angle of parallelism φ, also known as Π(p), is the angle at one vertex of a right hyperbolic triangle that has two asymptotic parallel sides. The angle depends on the segment length a between the right angle and the vertex of the angle of parallelism φ.".
- Angle_of_parallelism label "Angle of parallelism".
- Angle_of_parallelism label "Angolo di parallelismo".
- Angle_of_parallelism sameAs Angolo_di_parallelismo.
- Angle_of_parallelism sameAs m.04v3n9.
- Angle_of_parallelism sameAs Q3617405.
- Angle_of_parallelism sameAs Q3617405.
- Angle_of_parallelism sameAs Angle_of_parallelism.
- Angle_of_parallelism wasDerivedFrom Angle_of_parallelism?oldid=563586991.
- Angle_of_parallelism depiction Angle_of_parallelism_half_plane_model.svg.
- Angle_of_parallelism isPrimaryTopicOf Angle_of_parallelism.
