Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-14T07:27:55.276Z Has data issue: false hasContentIssue false
  • English
  • Français

Notes: 61.22 Pythagoras in three dimensions

Published online by Cambridge University Press:  22 September 2016

B. D. Bunday
B. D. Bunday*
Affiliation:
Undergraduate School of Studies in Mathematical Sciences, University of Bradford, West Yorkshire BD7 1DP
Get access Rights & Permissions [Opens in a new window]

Extract

It appears not to be widely known that there is an analogy of the theorem of Pythagoras for a ‘right-angled tetrahedron’, i.e. a tetrahedron which can be formed by slicing off a vertex from a cuboid. The result is: the square of the area of the face opposite the vertex containing the three 90° dihedral angles is equal to the sum of the squares of the areas of the other three faces.

Type
Research Article
Information
The Mathematical Gazette , Volume 61 , Issue 418 , December 1977 , pp. 292 - 293
Copyright
Copyright © Mathematical Association 1977

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.)