A Nonstandard Generalization of Envelopes
The generalized envelopes are studied by a given nonstandard definition of envelope of a family of lines defined in a projective homogenous coordinates <strong>PHC</strong> by: u(t)<em>x </em>+ v(t)<em>y</em> + w(t)<em>z</em> = 0. The new nonstandard c...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2008-12-01
|
| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163973_f275ab700cae977960ce332b9b05d99c.pdf |
| Summary: | The generalized envelopes are studied by a given nonstandard definition of envelope of a family of lines defined in a projective homogenous coordinates <strong>PHC</strong> by: u(t)<em>x </em>+ v(t)<em>y</em> + w(t)<em>z</em> = 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 <em>f</em>(x,y)=0, we search for the family of lines in which <em>f</em> is its envelope. |
|---|---|
| ISSN: | 1815-4816 2311-7990 |