What is hyperbolic geometry?

Donald Robertson
July 10, 2014
4:00 pm - 5:00 pm
Enarson Classroom Building EC 326

Date Range
2014-07-10 16:00:00 2014-07-10 17:00:00 What is hyperbolic geometry? Title:  What is hyperbolic geometry?Speaker:  Donald Robertson, The Ohio State UniversitySeminar Type:  What is... ?Abstract:  In the 19th century, mathematicians began investigating the consequences of denying the parallel postulate (that for any point off a given line there is a unique line through the point parallel to the given line) rather than trying to deduce it from Euclid's first four postulates of plane geometry. Hyperbolic geometry, in which the parallel postulate does not hold, was discovered independently by Bolyai and Lobachesky as a result of these investigations. In this talk we discuss various models of this geometry and some of its interesting features, including its triangles and its tilings.What is hyperbolic geometry? [pdf] Enarson Classroom Building EC 326 America/New_York public

Title:  What is hyperbolic geometry?

SpeakerDonald Robertson, The Ohio State University

Seminar TypeWhat is... ?

Abstract:  In the 19th century, mathematicians began investigating the consequences of denying the parallel postulate (that for any point off a given line there is a unique line through the point parallel to the given line) rather than trying to deduce it from Euclid's first four postulates of plane geometry. Hyperbolic geometry, in which the parallel postulate does not hold, was discovered independently by Bolyai and Lobachesky as a result of these investigations. In this talk we discuss various models of this geometry and some of its interesting features, including its triangles and its tilings.

What is hyperbolic geometry? [pdf]

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