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The Complete Angle and Geometrical Generality*

Published online by Cambridge University Press:  03 November 2016

D. K. Picken
D. K. Picken*
Affiliation:
Ormond College, University of Melbourne
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Extract

The very great importance to Elementary Euclidean Geometry of the figure intermediate between the Straight Line and the Triangle appears to have been missed: viz. of the plane figure formed by two intersecting straight lines, each unbounded both ways. For this type of figure we use the name “Complete Angle.”

Type
Research Article
Information
The Mathematical Gazette , Volume 11 , Issue 161 , December 1922 , pp. 188 - 193
Copyright
Copyright © Mathematical Association 1922

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Footnotes

*

This paper is an abridged form of a much longer paper on “The Euclidean Geometry of Angle,” for which space could not be found in the Gazette.

References

Page note of 188 † The important distinction between Angle-figure and angle-quantity can be usefully indicated by means of the capital and the small initial letters.

Page note of 188 ‡ This implies BOA ≡ B′O′ A′; but AOB ≢ B′O′A′. See § l.

Page note of 191 * These chains of absolutely general congruences—exhibited in §§ 10, 11—are characteristic of the power of the method.