2002Facta universitatis - series Architecture and Civil EngineeringOpen access

Geometry of straight lines pencils

Milan Janić, Dejan Tanikić

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Pencil (optics), Euclidean geometry, Projective plane, Projective geometry, Geometry, Projective test, Cross-ratio, Plane (geometry)

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