A Nonstandard Generalization of Envelopes

Section: Research Paper

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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A Nonstandard Generalization of Envelopes. (2008). AL-Rafidain Journal of Computer Sciences and Mathematics, 5(2), 73-83. https://doi.org/10.33899/csmj.2008.163973
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How to Cite

A Nonstandard Generalization of Envelopes. (2008). AL-Rafidain Journal of Computer Sciences and Mathematics, 5(2), 73-83. https://doi.org/10.33899/csmj.2008.163973