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 Homographic Break-Up of Certain Derived Loci


Affiliations
1 College of Engineering, Guindy, Madras, India
     

   Subscribe/Renew Journal


Let C be a rational curve and Φ (λ, μ) a symmetric binary n-ic. If we select pairs of points on C whose parameters λ and μ are connected by the relation

Φ(λ, μ) = 0, ...           ...          ...             (1)

and associate with such a pair a determinate space element (such as, the line joining them or the intersection of their osculating planes), we shall have an one-dimensional aggregate of these elements which we shall refer to as the derived locus.


Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 192

PDF Views: 0




  • The Homographic Break-Up of Certain Derived Loci

Abstract Views: 192  |  PDF Views: 0

Authors

A. Narasinga Rao
College of Engineering, Guindy, Madras, India

Abstract


Let C be a rational curve and Φ (λ, μ) a symmetric binary n-ic. If we select pairs of points on C whose parameters λ and μ are connected by the relation

Φ(λ, μ) = 0, ...           ...          ...             (1)

and associate with such a pair a determinate space element (such as, the line joining them or the intersection of their osculating planes), we shall have an one-dimensional aggregate of these elements which we shall refer to as the derived locus.