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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
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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

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