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Geometric constructions and field extensions

  • Subhajit Chanda, Research Scholar, Dept of Mathematics, IITM

Using field extension we will discuss the impossibility of some geometric constructions by ruler and compass e.g.
1. duplicating the cube
2. trisecting an angle
3. squaring a circle.
We will start with basic definition and examples required for this.

Prerequisites: definition of a field.