Inversive Geometry

H. S. M. Coxeter
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H. S. M. Coxeter: University of Toronto

A chapter in The Teaching of Geometry at the Pre-College Level, 1971, pp 34-45 from Springer

Abstract: Abstract Euclidean geometry deals mainly with points and straight lines. Its basic transformation is the reflection, which leaves fixed all the points on one line and interchanges certain pairs of points on opposite sides of this “mirror”. All other isometries (or “congruent transformations” or “motions”) are expressible in terms of reflections. (For simplicity, we are describing only plane geometry. In space we would reflect in a plane instead of a line.)

Keywords: Concentric Circle; Euclidean Plane; Parabolic Bundle; Supplementary Angle; Congruent Transformation (search for similar items in EconPapers)
Date: 1971
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DOI: 10.1007/978-94-017-5896-3_5

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