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On the impossibility of ruler-only constructions

Authors: V. J. Baston and F. A. Bostock
Journal: Proc. Amer. Math. Soc. 110 (1990), 1017-1025
MSC: Primary 51M15
MathSciNet review: 1034882
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Abstract: The paper points out that there are several interpretations in the literature of what is meant by a geometric construction. It is shown that these differences in interpretation are important, since certain classic results (including the Mohr-Mascheroni Theorem) are true under one but false under another.

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Keywords: Geometric construction, ruler-only constructions, impossibility proof, Mohr-Mascheroni Theorem
Article copyright: © Copyright 1990 American Mathematical Society

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