A nonstandard generalization of envelopes

الملخص EN

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.