The Homographic Break-Up of Certain Derived Loci

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Authors

  • College of Engineering, Guindy, Madras ,IN

DOI:

https://doi.org/10.18311/jims/1924/17632

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.