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Duplicating the cube and other notes on constructions in the hyperbolic plane

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Abstract

The Euclidean classical problem ofDuplicating the Cube is investigated for the first time inhyperbolic geometry, and its partial solution presented. The other two associated problems ofTrisecting an Angle andSquaring the Circle in the hyperbolic plane were solved classically, but a few additions to these solutions are presented, along with some miscellaneous notes about straightedge and compass constructions in the hyperbolic plane.

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  1. Mathematics Department C-012, University of California, 92093-0112, San Diego, La Jolla, CA, USA

    Robert R. Curtis

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  1. Robert R. Curtis
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Curtis, R.R. Duplicating the cube and other notes on constructions in the hyperbolic plane. J Geom 39, 38–59 (1990). https://doi.org/10.1007/BF01222139

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  • DOI: https://doi.org/10.1007/BF01222139

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