An axiom system for full -dimensional Euclidean geometry
Mathematica Bohemica (1991)
- Volume: 116, Issue: 2, page 113-118
- ISSN: 0862-7959
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Abstract
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topKosiorek, Jarosław. "An axiom system for full $3$-dimensional Euclidean geometry." Mathematica Bohemica 116.2 (1991): 113-118. <http://eudml.org/doc/29293>.
@article{Kosiorek1991,
abstract = {We present an axiom system for class of full Euclidean spaces (i.e. of projective closures of Euclidean spaces) and prove the representation theorem for our system, using connections between Euclidean spaces and elliptic planes.},
author = {Kosiorek, Jarosław},
journal = {Mathematica Bohemica},
keywords = {axiom system; Euclidean geometry; projective space; elliptic plane; formally real pythagorean field; axiom system; Euclidean geometry; projective space; elliptic plane; formally real pythagorean field},
language = {eng},
number = {2},
pages = {113-118},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An axiom system for full $3$-dimensional Euclidean geometry},
url = {http://eudml.org/doc/29293},
volume = {116},
year = {1991},
}
TY - JOUR
AU - Kosiorek, Jarosław
TI - An axiom system for full $3$-dimensional Euclidean geometry
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 2
SP - 113
EP - 118
AB - We present an axiom system for class of full Euclidean spaces (i.e. of projective closures of Euclidean spaces) and prove the representation theorem for our system, using connections between Euclidean spaces and elliptic planes.
LA - eng
KW - axiom system; Euclidean geometry; projective space; elliptic plane; formally real pythagorean field; axiom system; Euclidean geometry; projective space; elliptic plane; formally real pythagorean field
UR - http://eudml.org/doc/29293
ER -
References
top- M. Kordos, Elements of projective and projective-metric geometry, (Polish). PAN Warszawa (1984), 131. (1984)
- M. Kordos, Elliptic geometry as a theory of one binary relation, Bull. PAN. vol. XXI, No. 7 (1973). (1973) Zbl0267.50002MR0333927
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