Universität zu Köln

Pambuccian, Victor ORCID: 0000-0003-2263-1471, Struve, Horst and Struve, Rolf ORCID: 0000-0001-6915-5623 (2016). The Steiner-Lehmus theorem and triangles with congruent medians are isosceles hold in weak geometries. Beitr. Algebr. Geom., 57 (2). S. 483 - 498. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 2191-0383

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Abstract

We prove that (a) a generalization of the Steiner-Lehmus theorem due to A. Henderson holds in Bachmann's standard ordered metric planes, (b) that a variant of Steiner-Lehmus holds in all metric planes, and (c) that the fact that a triangle with two congruent medians is isosceles holds in Hjelmslev planes without double incidences of characteristic not equal 3.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Pambuccian, Victor UNSPECIFIED orcid.org/0000-0003-2263-1471 UNSPECIFIED Struve, Horst UNSPECIFIED UNSPECIFIED UNSPECIFIED Struve, Rolf UNSPECIFIED orcid.org/0000-0001-6915-5623 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-274308
DOI:	10.1007/s13366-015-0278-y
Journal or Publication Title:	Beitr. Algebr. Geom.
Volume:	57
Number:	2
Page Range:	S. 483 - 498
Date:	2016
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	2191-0383
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/27430