Abstract
Looking at Figure 7.1 below, we say that the circle is to the left of the other curve. However, this describes our position with respect to the figure rather than the position of the circle with respect to the other curve. Although we shall not hestitate to use such words as left, right, above, and below in the discussion, we realize that such words have no place in our theory at this time. These words simply haven’t been defined, for the very good reason that it is impossible to give any reasonable definitions.
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© 1975 Springer-Verlag New York, Inc.
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Martin, G.E. (1975). Betweenness. 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_7
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DOI: https://doi.org/10.1007/978-1-4612-5725-7_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-5727-1
Online ISBN: 978-1-4612-5725-7
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