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 2011

Keywords

Acute triangulation
Axiom independence

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1007/s00022-011-0097-8

Cite this

@article{733429eb596e4bdcb779b2a606ba6756,

title = "Acute triangulation of a triangle in a general setting revisited",

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).",

keywords = "Acute triangulation, Axiom independence",

author = "Ioana Hociotǎ and Victor Pambuccian",

year = "2011",

month = dec,

doi = "10.1007/s00022-011-0097-8",

language = "English (US)",

volume = "102",

pages = "81--84",

journal = "Journal of Geometry",

issn = "0047-2468",

publisher = "Birkhauser Verlag Basel",

number = "1-2",

}

TY - JOUR

T1 - Acute triangulation of a triangle in a general setting revisited

AU - Hociotǎ, Ioana

AU - Pambuccian, Victor

PY - 2011/12

Y1 - 2011/12

N2 - 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).

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

UR - http://www.scopus.com/inward/record.url?scp=84870374962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870374962&partnerID=8YFLogxK

U2 - 10.1007/s00022-011-0097-8

DO - 10.1007/s00022-011-0097-8

M3 - Article

AN - SCOPUS:84870374962

SN - 0047-2468

VL - 102

SP - 81

EP - 84

JO - Journal of Geometry

JF - Journal of Geometry

IS - 1-2

ER -

Acute triangulation of a triangle in a general setting revisited

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this