Straightedge and Compass Constructions by Molly Siebecker '17

Wednesday, February 15 at 1:00pm to 1:45pm

Bronfman Science Center, 106 18 Hoxsey St, Williamstown, MA 01267, USA

Mathematics Colloquium

Abstract:  Any arbitrary angle can be bisected using only an unmarked straightedge and a compass; it is not possible, however, to trisect an angle with these tools alone.  Using this example, this colloquium will show how, by converting the geometric steps used in constructions made with a straightedge and compass into algebraic form, extension fields can be used to determine whether a given length or angle is constructible.

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Mathematics & Statistics

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