The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

The Theory of Envelopes of Plane Curves


     

   Subscribe/Renew Journal


Ths envelope of a family of plane curves f (x, y, c) = 0 is defined in many text-books as the locus of the ultimate intersections of f(x, y, c) = 0 and f(x, y, c + δc) = 0. This definition has one serious disadvantage; for, it is easily prove J that if the family possess any double points, these will appear in the c-discriminant.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 226

PDF Views: 0




  • The Theory of Envelopes of Plane Curves

Abstract Views: 226  |  PDF Views: 0

Authors

Abstract


Ths envelope of a family of plane curves f (x, y, c) = 0 is defined in many text-books as the locus of the ultimate intersections of f(x, y, c) = 0 and f(x, y, c + δc) = 0. This definition has one serious disadvantage; for, it is easily prove J that if the family possess any double points, these will appear in the c-discriminant.