A Nonstandard Generalization of Envelopes
AL-Rafidain Journal of Computer Sciences and Mathematics,
2008, Volume 5, Issue 2, Pages 73-83
AbstractThe 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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