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The set of all Lines through a point. Woods (1961), however, uses this term as a synonym for Range.
See also Near-Pencil, Perspectivity, Range (Line Segment), Section (Pencil), Sheaf (Geometry)
References
Woods, F. S. Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry. New York: Dover, pp. 8 and 11-12, 1961.