Acute triangulation of a triangle in a general setting revisited

Ioana Hociotǎ; Victor Pambuccian

doi:10.1007/s00022-011-0097-8

Acute triangulation of a triangle in a general setting revisited

Ioana Hociotǎ, Victor Pambuccian

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Axiom A16 from Pambuccian (Can. Math. Bull. 53, 534-541, 2010) is shown to be superfluous as it depends on axioms A1-A15. This provides a surprisingly simple axiom system in which the acute triangulation with seven triangles can be proved for any triangle, consisting only of A1-A15 in Pambuccian (Can. Math. Bull. 53, 534-541, 2010).

Original language	English (US)
Pages (from-to)	81-84
Number of pages	4
Journal	Journal of Geometry
Volume	102
Issue number	1-2
DOIs	https://doi.org/10.1007/s00022-011-0097-8
State	Published - Dec 1 2011

Keywords

Acute triangulation
Axiom independence

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s00022-011-0097-8

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AB - Axiom A16 from Pambuccian (Can. Math. Bull. 53, 534-541, 2010) is shown to be superfluous as it depends on axioms A1-A15. This provides a surprisingly simple axiom system in which the acute triangulation with seven triangles can be proved for any triangle, consisting only of A1-A15 in Pambuccian (Can. Math. Bull. 53, 534-541, 2010).

KW - Acute triangulation

KW - Axiom independence

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Acute triangulation of a triangle in a general setting revisited

Abstract

Keywords

ASJC Scopus subject areas

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