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Tagged with irrational-numbers hyperbolic-geometry
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Is there a straightedge and compass construction of incommensurables in the hyperbolic plane?
In other words, given a segment in the hyperbolic plane is there a straightedge and compass construction of a segment incommensurable with it? In the Euclidean plane one can take the diagonal of the ...
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Is there a universal straightedge and compass construction of a segment incommensurable to a given one in the hyperbolic plane?
"Universal" means that the construction steps are independent of the length of the given segment. In the Euclidean plane one can take the diagonal of a square built on it. Without the "universal" the ...