It is often said that trisecting the angle, duplicating the cube, or squaring the circle is impossible. But what does this mean? And how can we prove that these constructions are impossible? We'll take a look at what "impossibility" means in this context, and examine Wantzel's 1837 proof of impossibility.
Document Type: Research Article
Publication date: February 1, 2008
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Mathematics Magazine presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years.