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There is not a converse, as such, but there are other metrics that may be applicable in different circumstances.
One such is the Manhattan distance (deeloped by Minkovsky) which uses the grid pattern of roads as a way to measue distances.
On the non-planar surface, such as that of the earth, the shortest distance between two points will be along the "Great Circle" passing through the two points.
In some situations people may be interested in the fastest route between two points even if it is not the shortest straight line distance.
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Distance between two points?
the distance between two points is length
Distance between identical points on a wave?
The distance between identical points on a wave is called wavelength.
What is distance distance between two points?
In plane geometry, the shortest distance between two points is a line. In spherical geometry, the shortest distance between two points is a segment of a great circle. The distance between one point and another is known as the displacement.
What is distance between two consecutive corresponding points in the wave?
The distance between these two points is termed as a wavelength.
What is defined as the distance between two points?
The metric of a geometric space is defined as the distance between two points.
