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On the form in Polar co-ordinates of certain expressions occurring in Elastic Solids and in Hydrodynamics

Published online by Cambridge University Press:  20 January 2009

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In this paper is considered the form taken in Polar co-ordinates by the equivalents of certain well known expressions in Cartesian co-ordinates which occur in Elastic Solids and in Hydrodynamics.

The accompanying figure (fig. 29) will enable us to transform from Cartesians to Polars by simple geometry.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1884

References

page 112 note * (7) of § 695, Part II.

page 113 note * § 662, (1); § 670, (10); and § 734 of Part II.

page 113 note † Lecons sur l'Elasticité.

page 114 note † See Lamb's “Motion of Fluids,” Chap. III.

page 114 note † Ibid., p. 6.