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On the Partition of Sets of Points on a Rectangular Hyperbola

Published online by Cambridge University Press:  03 November 2016

A. A. Krishnaswami Ayyangar
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Extract

We propose to study in this paper the properties of a set of points on a proper rectangular hyperbola. We call this set an H-set, which is characterised as pure or mixed according as the points of the set belong to one branch or to both the branches of the hyperbola.

Type
Research Article
Information
The Mathematical Gazette , Volume 22 , Issue 248 , February 1938 , pp. 42 - 49
Copyright
Copyright © Mathematical Association 1938

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References

page no 46 note * Journal of the Indian Mathematical Society, 1929, Vol. XVIII, No. 5, pp. 101-6.

page no 48 note * When ABCD is a parallelogram, O becomes the centre of the circumscribed r.h., with B, C on one branch, and A, D Don the other, provided be acute (Vide 2.21).

page no 49 note * Vide the author’s New Geometry, p. 207 (Srinivasa Varadachari & Co., Madras, India, 1928).