The Journal of the Indian Mathematical Society

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The Linear Line - Congruence


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1 Bangalore, India
     

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A linear congruence of lines is formed by the lines common to two linear line-complexes. The lines of such a congruence possess two transversals, and the congruence is called hyperbolic, elliptic or parabolic according as these transversals are real and distinct, imaginary and distinct, or coincident.
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  • The Linear Line - Congruence

Abstract Views: 217  |  PDF Views: 0

Authors

C. N. Srinivasiengar
Bangalore, India

Abstract


A linear congruence of lines is formed by the lines common to two linear line-complexes. The lines of such a congruence possess two transversals, and the congruence is called hyperbolic, elliptic or parabolic according as these transversals are real and distinct, imaginary and distinct, or coincident.