pencil of figures

Figure sets {pencil, geometry} can have all figures pass through common points. Lines can pass through one point {vertex, pencil}. Circles can pass through two points. Order-n curves can pass through n^2 points. Parallel figures can have a common point {ideal point} or line {ideal line}. Parallel planes can have a common line {axis, plane}. Spheres can have a common circle. Planes can share a straight line.

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