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Intersecting, parallel and ultra parallel lines through a with respect to l in the hyperbolic plane. The parallel lines appear to intersect l just off the image. This is just an artifact of the visualisation. On a real hyperbolic plane the lines will get closer to each other and 'meet' in infinity.
For an ellipse, two diameters are said to be conjugate if and only if the tangent line to the ellipse at an endpoint of one diameter is parallel to the other diameter. Each pair of conjugate diameters of an ellipse has a corresponding tangent parallelogram , sometimes called a bounding parallelogram, formed by the tangent lines to the ellipse ...
Parallel (latitude), an imaginary east–west line circling a globe; Parallel of declination, used in astronomy; Parallel, a geometric term of location meaning "in the same direction" Parallel electrical circuits
This line is parallel because it cannot meet and form a triangle, which is stated in Book 1 Proposition 27 in Euclid's Elements. [15] Now it can be seen that no other parallels exist. If n was a second line through P , then n makes an acute angle with t (since it is not the perpendicular) and the hypothesis of the fifth postulate holds, and so ...
In this case, one gets a parallel curve on the opposite side of the curve (see diagram on the parallel curves of a circle). One can easily check that a parallel curve of a line is a parallel line in the common sense, and the parallel curve of a circle is a concentric circle.
Two lines are parallel if and only if the two angles of any pair of consecutive interior angles of any transversal are supplementary (sum to 180°). Proposition 1.28 of Euclid's Elements , a theorem of absolute geometry (hence valid in both hyperbolic and Euclidean Geometry ), proves that if the angles of a pair of consecutive interior angles ...
Parallel computing, the simultaneous execution on multiple processors of different parts of a program In the analysis of parallel algorithms, the maximum possible speedup of a computation; Parallel evolution, the independent emergence of a similar trait in different unrelated species; Parallel (geometry), the property of parallel lines
Inselberg (Inselberg 1997) made a full review of how to visually read out parallel coordinates relational patterns. [10] When most lines between two parallel axes are somewhat parallel to each other, it suggests a positive relationship between these two dimensions. When lines cross in a kind of superposition of X-shapes, it's a negative ...