Side-side-angle triangle congruence axiom and the complete quadrilaterals

Csiba, Peter and Németh, László (2023) Side-side-angle triangle congruence axiom and the complete quadrilaterals. ELECTRONIC RESEARCH ARCHIVE, 31 (3). pp. 1271-1286. ISSN 2688-1594

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Abstract

<abstract><p>Among the triangle congruence axioms, the side-side-angle (SsA) axiom states that two triangles are congruent if and only if two pairs of corresponding sides and the angles opposite the longer sides are equal. We construct two triangle sequences in which the items satisfy a modified condition. We require that the opposite angles of the shorter sides be equal. The locus of the intersection points of other sides of triangles is derived to be a hyperbola, and in a generalized form defined by a complete quadrilateral, it is a conic section.</p></abstract>

Tudományterület / tudományág

natural sciences > mathematics and computer sciences

Faculty

Not relevant

Institution

Soproni Egyetem

Item Type:	Article
SWORD Depositor:	Teszt Sword
Depositing User:	Csaba Horváth
Identification Number:	MTMT:33633233
Date Deposited:	10 Feb 2023 13:59
Last Modified:	10 Feb 2023 13:59
URI:	http://publicatio.uni-sopron.hu/id/eprint/2589

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