A perspective vanishing point on the horizon
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a half-line with a designated end point which extends in only one direction without stopping
This is called a ray.
The line, itself, is a subset (though not a proper subset). A ray is a subset of a line with one end-point which extends in only one direction. A line segment is a subset of a line with two end points. A point is a subset of a line.
A ray can be described as the half line with designated end point which extends in only one direction without stopping.
One-point perspective has only one vanishing point.