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On the fixed points of an affine transformation: an elementary view. (English) Zbl 1225.00025

Teach. Math. Comput. Sci. 4, No. 1, 101-110 (2006).
Summary: This note shows how the fixed points of an affine transformation in the plane can be constructed by an elementary geometric method. The approach presented here also shows how the affinities of the plane can be classified with the help of their fixed points.

MSC:

00A35 Methodology of mathematics
97G40 Plane and solid geometry (educational aspects)
97G70 Analytic geometry, vector algebra (educational aspects)
97G50 Transformation geometry (educational aspects)
51N10 Affine analytic geometry
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