Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-08T06:30:30.030Z Has data issue: false hasContentIssue false
  • English
  • Français

When is a Parallelogram not a Parallelogram?

Published online by Cambridge University Press:  03 November 2016

P. Gant
Get access Rights & Permissions [Opens in a new window]

Extract

Is a quadrilateral in which one pair of opposite sides are equal and one pair of opposite angles are equal necessarily a parallelogram? This question arose in class recently and led me to discover much that I did not know about an elementary topic. Possibly others may be interested in the results of my investigation.

The following ‘proof’, for which I am indebted to my colleague, E. H. Lockwood, answers the question in the affirmative. The subsequent paragraph contradicts this.

Type
Research Article
Information
The Mathematical Gazette , Volume 39 , Issue 329 , September 1955 , pp. 191 - 195
Copyright
Copyright © The Mathematical Association 1955

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.)