Side-side-angle with fixed angles and the cyclic quadrilateral

Csiba, Peter and Donnelly, John and Németh, László (2024) Side-side-angle with fixed angles and the cyclic quadrilateral. JOURNAL OF GEOMETRY, 115 (3). ISSN 0047-2468

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Abstract

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. The modification of the SsA axiom provides a construction with two triangle sequences . We require that the opposite angles of the equivalent shorter sides be fixed and the longer 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.

Tudományterület / tudományág

natural sciences > mathematics and computer sciences

Faculty

Not relevant

Institution

Soproni Egyetem

Item Type:	Article
Additional Information:	Funding Agency and Grant Number: University of Sopron Funding text: We would like to thank the referees for their thorough review.DAS:No data was used for the research described in the article.
SWORD Depositor:	Teszt Sword
Depositing User:	Csaba Horváth
Identification Number:	MTMT:35176698
Date Deposited:	21 Aug 2024 12:03
Last Modified:	21 Aug 2024 12:03
URI:	http://publicatio.uni-sopron.hu/id/eprint/3255

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