JOURNAL ARTICLE

More variations on Nagel and Gergonne analogues of the Steiner-Lehmus theorem.

  • Published In: Mathematical Gazette, 2024, v. 108, n. 572. P. 292 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Abu-Saymeh, Sadi; Hajja, Mowaffaq 3 of 3

Abstract

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 Δ ABC 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]. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Gazette. 2024/07, Vol. 108, Issue 572, p292
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:0025-5572
  • DOI:10.1017/mag.2024.70
  • Accession Number:179244004
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