Geometry of straight lines pencils

Abstract

This paper considers a pencil of straight Unes in the Euclidean plane as well as the same pencil of straight lines in the projective plane where the projective geometry model M" is defined with its points forming the sets of (n-l) collinear points, whose supporting straight lines belong to the considered pencil of straight lines.

Keywords

• (n-1) collinear points
• pencil of straight lines
• F planes
• AF planes