On the director surface of a rectilinear congruence
Published online by Cambridge University Press: 24 October 2008
Extract
In this paper, it is shown that certain quantities defined with reference to the rays of a rectilinear congruence, remain unchanged for a change in the director surface, provided that the spherical representation of the congruence is kept unchanged. These quantities may be called semi-invariants. Some known invariants have been expressed in terms of these semi-invariants. An attempt has been made to find how these semi-invariants alter when the parametric curves are changed in any manner.
- Type
- Research Notes
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 2 , April 1963 , pp. 503 - 504
- Copyright
- Copyright © Cambridge Philosophical Society 1963
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