Abstract
This chapter defines point rotations and point reflections (about a point O) on a neutral plane, and derives their elementary properties to the extent possible without a parallel axiom. It ends with a classification of isometries of a neutral plane, and proof of the existence of a “square root” of a rotation.
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© 2015 Springer International Publishing Switzerland
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Specht, E.J., Jones, H.T., Calkins, K.G., Rhoads, D.H. (2015). Rotations About a Point of a Neutral Plane (ROT). In: Euclidean Geometry and its Subgeometries. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-23775-6_10
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DOI: https://doi.org/10.1007/978-3-319-23775-6_10
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-23774-9
Online ISBN: 978-3-319-23775-6
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