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Part of book or chapter of book . 1981 . Peer-reviewed

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Absolute Plane Geometry

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1981Publisher:Springer New York

Authors: Gordon Matthews; Paul Kelly;

doi: 10.1007/978-1-4613-8125-9_2

Absolute Plane Geometry

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Abstract

In this chapter we will review the basic properties of Absolute Plane geometry, based on the Birkhoff axioms. All the theorems to be considered are also theorems of Euclidean geometry and hence, for the most part, will be familiar to the reader. For this reason, proofs will not be given except for a few theorems not ordinarily encountered in a beginning course in Euclidean geometry. Our intent is to sketch a natural progression for the theorems and to introduce notations and conventions that we will need in the later study of Hyperbolic geometry.

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