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Thursday, November 20, 2014

Albime triangles

Jaap Top (Groningen)

Abstract: This is an expository lecture intended for a general audience.The term `albime' was coined by Jasbir Chahal (BYU, Provo) and refersto ALtitude-BIsector-MEdian. In a lecture during the ''Nationale Wiskunde Dagen" in 2005,F. van der Blij who retired as a mathematics professor from Utrecht University in 1988,discussed an elementary geometry problem: describe the triangles ABC whichhave integral sides, and moreover have the property that a bisector from vertex A, the median through vertex B, and the altitude through C, are concurrent. We call such ABC (rational) albime triangles.The problem turns out to have an amazing history, and the complete solutioninvolves a nice although elementary mixture of geometry, arithmetic, elliptic integrals, and a classical equidistribution result.

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Location :  Room 611 of the Hans Freudenthal building, formerly known as the Wiskunde/Maths building, (campus De Uithof) Budapestlaan 6, Utrecht.
Date and time : Thursday, November 20, 2014 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.