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In hyperbolic geometry, angle of parallelism Π ( a ) {\displaystyle \Pi (a)} is the angle at the non-right angle vertex of a right hyperbolic triangle...

up parallelism in Wiktionary, the free dictionary. Parallelism may refer to: Angle of parallelism, in hyperbolic geometry, the angle at one vertex of a...

ideal point, one angle is right: the third angle is the angle of parallelism for the length of the side between the right and the third angle. The triangle...

Structural angle Angle of attack Angle of incidence (disambiguation) Angle of parallelism Angle of repose Angle of view Angle Man Angles (disambiguation)...

velocity of light in water. Silberstein also uses Lobachevsky's concept of angle of parallelism Π(a) to obtain cos Π(a) = v/c. The hyperbolic angle is often...

The caster angle or castor angle is the angular displacement of the steering axis from the vertical axis of a steered wheel in a car, motorcycle, bicycle...

make an angle θ with PB; this angle depends only on the Gaussian curvature of the plane and the distance PB and is called the angle of parallelism. For ultraparallel...

uncountability of the real numbers Combinatorics Combinatory logic Co-NP Coset Countable countability of a subset of a countable set (to do) Angle of parallelism Galois...

visual angle of one minute of arc, from a distance of twenty feet. A 20/20 letter subtends 5 minutes of arc total. The deviation from parallelism between...

the sum of angles of a triangle equals a straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at...

Poincaré disc model Poincaré half-plane model Poincaré metric Angle of parallelism Prime geodesic Geodesic flow Exponential map (Lie theory) Exponential...

of Euclid's parallel postulate. Parallelism is primarily a property of affine geometries and Euclidean geometry is a special instance of this type of...

{a}{k}}.} Houzel indicates that the hyperbolic law of cosines implies the angle of parallelism in the case of an ideal hyperbolic triangle: When α = 0 , {\displaystyle...

bBA>2{\text{ right angles}}} . Contradiction. horocycle, In Hyperbolic geometry a curve whose normals are limiting parallels angle of parallelism Hartshorne,...

independently constructed hyperbolic geometry, where parallel lines have an angle of parallelism that depends on their separation. This study became widely accessible...

must exist a distinct angle of parallelism for any given line length. Let us say for the length AE, its angle of parallelism is angle BAF. This being the...

model of hyperbolic space uses such a map to represent hyperbolic space. The angle of parallelism function in hyperbolic geometry is the complement of the...

ends and checking the face parallelism of optical windows and wedges. Electronic and digital autocollimators are used as angle measurement standards, for...

point and run parallel to another line of which that point is not part. He developed the angle of parallelism which depends on the distance the point...

angles. This postulate does not specifically talk about parallel lines; it is only a postulate related to parallelism. Euclid gave the definition of parallel...