# New Solution of Plemelj's Triangle Problem

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The problem is to construct a triangle given the length of its base, the length of the altitude from to and the difference of the angles at and . This Demonstration shows Gerd Baron's solution of this construction problem using the Apollonius circle.

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Contributed by: Gerd Baron, Izidor Hafner, Marko Razpet and Nada Razpet (May 2018)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

As far we know, this problem first appeared in [1]. The problem was also posed by Stevens in [2].

The photograph of Stevens's solution was taken from [2, Vol. VI, 1857 p. 56].

For the history of Plemelj's solutions of this problem, see The Plemelj Construction of a Triangle: 1.

References

[1] L. H. von Holleben and P. Gerwien, *Aufgaben-Systeme und Sammlungen aus der Ebenen Geometrie: Aufgaben*, Berlin: G. Reimer, 1832.

[2] *The Ohio Journal of Education*, (4), 1855 pp. 278 and 369; (5), 1856 p. 112; (6), 1857 pp. 56–57, 145 and 184.

## Permanent Citation