Introduction into the Extra Geometry of the Three–Dimensional Space I
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Using the theory of exploded numbers by the axiom–systems of real numbers and euclidean geometry, we introduce a geometry in the three–dimensional space which is different from the euclidean-, Bolyai – Lobachevsky- and spherical geometries. In this part the concept of extra-line and extra parallelism are detailed.
References
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I. Szalay, Explosion and compression by numbers, International Journal of Applied Mathematics Vol. 18. No.1 (2005), 33 – 60.
I. Szalay: Exploded and compressed numbers (Enlargement of universe, Parallel Universes, Extra Geometry) LAMBERT Academic Publishing, Saarbrucken (Germany), 2016.
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sites.math.washington.edu/~hart/m524/realprop.pdf
Edvard D. Gughan: Introduction to Analysis, Books-Cole, Pacific Grove, 1988
wikipedia.org./wiki/Euclidean geometry (accessed: on 6th April 2020)
wikipedia.org/wiki/Hyperbolic geometry (accessed: on 6th April 2020)
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