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Abstract Algebra 82: Straight-edge and compass constructions
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Abstract Algebra 82: Straight-edge and compass constructions
Abstract: We describe several straight-edge and compass constructions that are possible, such as finding a perpendicular bisector to a line segment, or bisecting an angle. How is this related to algebra? Other straight-edge and compass constructions are not possible, and algebra gives us the tools to prove those impossible constructions are impossible.
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University:
Abstract: We describe several straight-edge and compass constructions that are possible, such as finding a perpendicular bisector to a line segment, or bisecting an angle. How is this related to algebra? Other straight-edge and compass constructions are not possible, and algebra gives us the tools to prove those impossible constructions are impossible.
This video accompanies the class "Introduction to Abstract Algebra" at Colorado State University: