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More variations on Nagel and Gergonne analogues of the Steiner-Lehmus theorem
Published online by Cambridge University Press: 23 August 2024
Extract
The celebrated Steiner-Lehmus theorem states that if the internal bisectors of two angles of a triangle are equal then the corresponding sides have equal lengths. That is to say if P is the incentre of ΔABC and if BP and CP meet the sides AC and AB at B′ and C′, respectively, then
An elegant proof of this theorem appeared in [1] and is reproduced in [2].
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- © The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association