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Keywords

infinitesimals
Monad
envelope

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.      
https://doi.org/10.33899/csmj.2008.163973
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