Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-02-06T10:05:58.308Z Has data issue: false hasContentIssue false
  • English
  • Français

Quaternion Note on a Geometrical Problem

Published online by Cambridge University Press:  15 September 2014

Tait
Get access

Extract

The problem referred to is that of inscribing in a sphere a closed n-sided polygon, whose sides shall pass respectively through n given points which are not on the surface. Hamilton evidently regarded his solution of this question as a very tough piece of mathematics (see his Life, vol. iii. pp. 88, 426). In preparing a new edition of my Quaternions, I was led to a mode of treating this question which enables us to dispense with the brilliant feats of analysis which seem to be required in Hamilton's method.

Type
Proceedings 1888-89
Information
Proceedings of the Royal Society of Edinburgh , Volume 16 , 1890 , pp. 315 - 319
Copyright
Copyright © Royal Society of Edinburgh 1889

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)