# An axiom system for full $3$-dimensional Euclidean geometry

Mathematica Bohemica (1991)

- Volume: 116, Issue: 2, page 113-118
- ISSN: 0862-7959

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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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