Abstract Algebra 84: Field extensions for straight-edge and compass constructions

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Abstract Algebra 84: Field extensions for straight-edge and compass constructions

Abstract: Without being rigorous or precise, we give the rough idea of how abstract algebra (and in particular, field extensions) can be used to prove that certain straight-edge and compass constructions are not possible in general. These include trisecting an arbitrary angle, squaring a circle, and doubling the cube.

This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
  1. Henry Adams
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