A Nonstandard Generalization of Envelopes

Section: Research Paper
Published
Jun 25, 2025
Pages
73-83

Abstract

The generalized envelopes are studied by a given nonstandard definition of envelope of a family of lines defined in a projective homogenous coordinates PHC by: u(t)x + v(t)y + w(t)z = 0. The new nonstandard concepts of envelope are applied to conic sections. Our goal in this paper is hat for a given conic section curve f(x,y)=0, we search for the family of lines in which f is its envelope.

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How to Cite

H. Ismail, T., طاهر, O. Hamad, I., & إبراهیم. (2025). A Nonstandard Generalization of Envelopes. AL-Rafidain Journal of Computer Sciences and Mathematics, 5(2), 73–83. Retrieved from https://rjps.uomosul.edu.iq/index.php/csmj/article/view/19936