Projectivities

Definitions: A Range is the set of all points on a line. A Pencil is the set of all lines through a points. Ranges and Pencils are one-dimensional forms. The Range is a section (by the line) of the pencil. The Pencil projects the range (from the point). The Range A is a section (by line c) of the pencil a. The Pencil a projects the range (A) from point C. The Range H, I, J is a section (by the line a) of the pencil h, i, j The pencil h, i, and j projects the range (H, I, J) from point A