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The Complete Angle and Geometrical Generality*
Published online by Cambridge University Press: 03 November 2016
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.”
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- Research Article
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- Copyright © Mathematical Association 1922
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.