The Journal of the Indian Mathematical Society

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The Homographic Break-Up of Certain Derived Loci


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1 College of Engineering, Guindy, Madras, India
     

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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.


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  • The Homographic Break-Up of Certain Derived Loci

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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.