Introduction into Extra Geometry of the Three-Dimensional Space II | Zendy

I. Szalay | Zendy; B. Szalay | Zendy

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Introduction into Extra Geometry of the Three-Dimensional Space II

Author(s) -

I. Szalay,

B. Szalay

Publication year - 2020

Publication title -

european journal of engineering and technology research

Language(s) - English

Resource type - Journals

ISSN - 2506-8016

DOI - 10.24018/ejers.2020.5.8.2016

Subject(s) - euclidean geometry , plane (geometry) , euclidean space , geometry , mathematics , space (punctuation) , three dimensional space , non euclidean geometry , axiom , absolute geometry , pure mathematics , computer science , regular polygon , convex set , convex optimization , operating system

Using the theory of exploded numbers by the axiom-systems of real numbers and Euclidean geometry, we introduce concept of extra - plane of the three-dimensional space. The extra - planes are visible subsets of super-planes which are exploded Euclidean planes. We investigate the main properties of extra-planes. We prove more similar properties of Euclidean planes and extra-planes, but with respect the parllelism there is an essential difference among them.

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