Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-27T12:11:36.963Z Has data issue: false hasContentIssue false
  • English
  • Français

Extension of Some Definitions and Propositions in Euclid’s Book XI. And Remarks

Published online by Cambridge University Press:  03 November 2016

R. F. Muirhead
Get access Rights & Permissions [Opens in a new window]

Extract

Euclid does not define the inclination to one another, or the mutual perpendicularity of non-intersecting straight lines. (For brevity I shall omit the adjective straight before lines.)

The following definition is justified by the 10th Proposition of Bk. XI. Def. : The inclination of two non-intersecting lines to one another, or the “ angle between them ” is the angle between two intersecting straight lines which are parallel to them respectively.

Type
Research Article
Information
The Mathematical Gazette , Volume 11 , Issue 165 , July 1923 , pp. 332 - 333
Copyright
Copyright © Mathematical Association 1923

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.)