2002Journal of Engineering GraphicsRequires access

Method for Generating New Curves by projective Families of Pencil of Lines

Shuwen Wang

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Abstract

This paper studies the principle of projective families of pencils of lines based on that the locus of point of intersection of two projective pencils of lines and discusses the characters of plane curves formed by the locus of corresponding lines of projective pencils of lines and families of pencils of lines and two families of pencils of lines, then some curves by computer are given.

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What this paper is about

This paper studies the principle of projective families of pencils of lines based on that the locus of point of intersection of two projective pencils of lines and discusses the characters of plane curves formed by the locus of corresponding lines of projective pencils of lines and families of pencils of lines and two families of pencils of lines, then some curves by computer are given.

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Available abstract

This paper studies the principle of projective families of pencils of lines based on that the locus of point of intersection of two projective pencils of lines and discusses the characters of plane curves formed by the locus of corresponding lines of projective pencils of lines and families of pencils of lines and two families of pencils of lines, then some curves by computer are given.

Key concepts: Pencil (optics), Projective test, Locus (genetics), Projective plane, Mathematics, Plane curve, Twisted cubic, Real projective plane

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