# The Plemelj Triangle via the Fixed Point of a Transformation

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This problem was posed to Plemelj by his math teacher Borstner when Plemelj was about 16 years old. The problem asks for the construction of a triangle using ruler and compass given the length of the base , the length of the altitude from to , and , where and are the angles at and . In this Demonstration, and .

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Contributed by: Izidor Hafner (June 2017)

Open content licensed under CC BY-NC-SA

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## Details

Plemelj (1873–1967) was Vidav's (1918–2015) dissertation adviser and later a professor at the University of Ljubljana.

This Demonstration shows a way to solve the problem that Vidav mentioned to students of mathematics in 1952. The explanation here is based on [1].

Reference

[1] I. Pucelj, "Plemelj's Triangle and Fixed Points of Transformations," (in Slovenian), *Obzornik za matematiko in fiziko*, 62(1), 2015 pp. 12–14.

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