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XIII—On the Elimination of α,β, γ, from the conditions of integrability of S uadρ, S uβdρ, S uγdρ

Published online by Cambridge University Press:  17 January 2013

G. Plarr
Affiliation:
Docteur ès-sciences

Extract

The proposed scalars represent the differentials of the three functions, X, Y, Z, of the co-ordinates x, y, z, put under the form

where ◁ represents the operator

and where

.

These functions, equated respectively to constants, are intended to represent a system of orthogonal surfaces.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1875

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