[Euclid and Pythagorus in the 21st century. A proposal on various harmonious craniofacial and occlusal constants]

The aim of this work was to study the architectural relationships between different squeletal and dental pieces participating in the mastication, and to prove their fixity. We have at our disposition a collection of teleradiographies taken from profile on the same subject, over the course of several years; 3000 of them have been selected. With the help of tracings, where are drawn 36 degrees angles; or 72 degrees and 108 degrees; we systematize our locations. Together with our ten experimenters, we have noticed the existence of a parallelism between the graphic representations of the Bouvet occlusal plane, the sphenoïdal planum (sphenoïdale bone) and the course of the second trigeminal branch (trigeminus nerve) in its infra-orbital section. The angle of those different marks with the superior clivus (quadrilateral strip of the sphenoïd) (dorsum sellae) still measures 72 degrees. It is equal to 108 degrees with the graphic representation of the third antero-inferior pterygoïd process. (pterygoïdeus process). The angle between the superior clivus and the pterygoïd process still measures 36 degrees. These works are new contributions to the orthodontic, occlusodontic or prosthetic conceptions.