The Four-dimensional Plane Binary
Model and the Explanation of the False Elements
of the Euclid Plane
The elements of the complex plane
C2 including the mentioned plane are considered as the R2
real Euclid plane geometric false elements. These elements do not belong to
R2. To obtain the explanation of these elements in R2,
first it is considered the isomorphic representation of C2 plane on
the four-dimensional space R4 and then the binary projective
representation of the space R2 on the R2 plane.
It has been proved that the simplest explanation is obtained in the case, when the images of the cyclic points of the C2 plane are considered to be projecting centres in the space R4.