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Note on the Principal Axes of a Normal Section of a Cylinder which Envelopes an Ellipsoid

Published online by Cambridge University Press:  31 October 2008

R. J. T. Bell
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This note deals with methods of determining the lengths and direction-cosines of the axes. If the lengths are 2α. and 2β, then α–2 and β–2 are the two non-zero roots of the discriminating cubic for the cylinder, and thus are easily found. The following methods apply geometrical considerations and determine both the lengths and the direction-cosines.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 15 , January 1914 , pp. 172 - 175
Copyright
Copyright © Edinburgh Mathematical Society 1914