Geodesic
An axiom system for full $3$-dimensional Euclidean geometry
Mathematica Bohemica, Tome 116 (1991) no. 2, pp. 113-118

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MR Zbl
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.
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.
DOI : 10.21136/MB.1991.126139
Classification : 03B30, 51A05, 51M05, 51M10
Keywords: axiom system; Euclidean geometry; projective space; elliptic plane; formally real pythagorean field 
Kosiorek, Jarosław. An axiom system for full $3$-dimensional Euclidean geometry. Mathematica Bohemica, Tome 116 (1991) no. 2, pp. 113-118. doi: 10.21136/MB.1991.126139
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[1] M. Kordos: Elements of projective and projective-metric geometry. (Polish). PAN Warszawa (1984), 131.

[2] M. Kordos: Elliptic geometry as a theory of one binary relation. Bull. PAN. vol. XXI, No. 7 (1973). | MR | Zbl

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