Euclidian means that the sum of the angles of a triangle = 180 ° = trigonometric p PI (not to be confused with arithmetic PI p =3,1415926535).

Now, use your calculator :

Arithmetic PI /sinus 1° = 180,009138847, a value greater than the Euclidian 180° as such and, as well, in cercle secunds while multiplying by 3.600 (giving 648.000 Euclidian and 648.032899849 non-Euclidian).

Now ; 0,032899849 is interesting because this value is not far of the double of the eccentricity of the Earth orbital gravitation(0,0167). Then, consider the duration of the seasons year = 365d 5h 48mn 46s , and, in a first time, examine what happens with the relation :

arithmetic PI/sinus 0,5° : it gives 360°004569302 which, divided by 2, gives 180°002284651, which divided by 2 gives 90°0011423255 (the actual non-euclidian right angle) and, finally, divide 32899849 by this angle.

The result. is 365 5 49 23. Indicative !

In the next time, by approximations, instead of using 0,5° use the value 0,4999989359° for the sinus ; proceeding as it was the first time, one obtains successively : 360°005335446 and 90°00133358615 - new approximate right angle, which dividing 32899849 gives

It is to underline that the approximate right angle . corresponds to the rotation induced by an important operator of the group of rotations which is the imaginary i=Ö ` -1. (i=Square root -1)

The diagram visualizes the calculations result of an annual chronogenesis.

Copyrights ã boris Rybak janvier 2000 Paris. January 27, 2000

References : Biometrie humaine et Anthropologie(Paris)1998,16, 3-4,167. Idem, 1999,17,3-4,91.