A Nonstandard Generalization of Envelopes

Section: Research Paper
Issue
Vol. 5 No. 2 (2008): Volume 5 Issue 2
Published
Dec 7, 2008
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.

Authors

Tahir H. Ismail

College of Computer Sciences and Mathematics University of Mosul

Ibrahim O. Hamad

College of Science University of Salahaddin

Identifiers

https://doi.org/10.33899/csmj.2008.163973%20
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How to Cite

H. Ismail, T., & O. Hamad, I. (2008). A Nonstandard Generalization of Envelopes. AL-Rafidain Journal of Computer Sciences and Mathematics, 5(2), 73–83. https://doi.org/10.33899/csmj.2008.163973
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