Abstract
Our definition of segment and ray will be motivated by Figure 8.1. It seems reasonable to say that a segment with endpoints A and B should contain all the points between A and B. Should A and B be included? This is initially a matter of choice! The reader of a textbook is sometimes unaware that the author has made several rather arbitrary decisions about his definitions. The author can decide whether he wants the endpoints included in a segment or not; he makes the decision for himself and his reader. Once that decision is made, the defined word must be used consistently. We are stuck with the choice.
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© 1975 Springer-Verlag New York, Inc.
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Martin, G.E. (1975). Segments, Rays, and Convex Sets. In: The Foundations of Geometry and the Non-Euclidean Plane. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5725-7_8
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DOI: https://doi.org/10.1007/978-1-4612-5725-7_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5727-1
Online ISBN: 978-1-4612-5725-7
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