Where are hyperbolic lines and contains no singular vectors.
2.
It was phase comparison at this common frequency that resulted in the hyperbolic lines of position.
3.
At long ranges the hyperbolic lines approximate straight lines radiating from the center of the baseline.
4.
The patterns were drawn on nautical charts as a set of hyperbolic lines in the appropriate colour.
5.
In the Poincar?half plane, hyperbolic lines correspond to semicircles "'centered on the horizon line " '.
6.
For the two dimensions this model uses the interior of the unit circle for the complete hyperbolic chords of this circle are the hyperbolic lines.
7.
In Euclidean space, the multiple of a given angle traces equal distances around a circle while it traces exponential distances upon the hyperbolic line.
8.
Since " Q " is tangent to the unit semicircle centered at the origin, the two semicircles represent " parallel hyperbolic lines ".
9.
The map, besides having an outline of the coasts of England and France, had various radio navigation towers on it with hyperbolic lines drawn around them.
10.
The four hyperbolic motions that produced z above can each be inverted and applied in reverse order to the semicircle centered at the origin and of radius \ sqrt { z } to yield the unique hyperbolic line perpendicular to both ultraparallels p and q.
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