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On a surface of the third order

Published online by Cambridge University Press:  20 January 2009

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In the second part of Professor Chrystal's Algebra (Exer. V., No. 4) the following exercise is given:-

If 2xyz-x2-y2-z2+1=0, and x,y,z are all real, then all, or none, of the quantities x,y,z lie between-1 and + 1.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1891