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Constructions in Geometry. What is Legitimate?
Published online by Cambridge University Press: 03 November 2016
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Construction. As we depart widely from Euclid’s ideas in the proofs of Stage B, it seems to be thought by many people that go-as-you-please methods are good enough for constructions as well. Now, “trial” methods of construction are sometimes useful in more advanced work ; but they are tolerated only when a geometrical method is impossible ; they are means to get a solution, but there is no instruction to be had from such a method. We would therefore urge that a certain severity be still maintained in problems of construction.
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