euclidean planes
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scholarly journals Introduction into Extra Geometry of the Three-Dimensional Space II

2020 ◽  
Vol 5 (8) ◽  
pp. 904-914
Author(s):  
Istvan Szalay ◽  
Balazs Szalay
Keyword(s):  
Euclidean Geometry ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Essential Difference ◽  
Real Numbers ◽  
Euclidean Planes ◽  
Axiom Systems ◽  
Three Dimensional Space

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.

Modeling of curls of Agnesi in non-Euclidean planes

2018 ◽  
Author(s):  
Lyudmila Romakina ◽  
Leonid Bessonov ◽  
Angelina Chernyshkova
Keyword(s):  
Euclidean Planes

An axiom system for Lingenberg’s metric-Euclidean planes

2004 ◽  
Vol 81 (1-2) ◽  
pp. 139-143
Author(s):  
Victor Pambuccian
Keyword(s):  
Axiom System ◽  
Euclidean Planes

Almost Euclidean planes inl p n

1998 ◽  
Vol 32 (1) ◽  
pp. 59-61
Author(s):  
Yu. I. Lyubich ◽  
O. A. Shatalova
Keyword(s):  
Euclidean Planes
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