Monograph, 2004, 412 s. The paper introduces the concepts of the whole and the individual as a share of the whole and shows that the "separate" is the basis of the emergence of mathematical quality, the basis of the number of Dialectical analysis of mathematical concepts is carried out and it is concluded that the sections of mathematics as a whole are both qualitative and quantitative sciences. The application of the laws of dialectics in mathematics and spatial infinity as infinite without beginning is shown. It is noted that Fibonacci series degenerate into geometric progressions, which are generalized into a class of Russian matrices, which are the basis of the theory of physical dimension. Russian matrices have the highest degree of harmony and determine the degree combinatorics of their members. The basics of static-dynamic and physical (dynamic) geometry are presented, the hierarchy of geometries, including physical geometry, static-dynamic and static geometry., is given. Static-dynamic and physical geometry make up Russian geometry. The physical and geometric essence of the segment division in the extreme and average ratio and the invariant relations of static-dynamic geometry are shown .. Hidden Figures of the Golden Section in Static-Dynamic Geometry . General conclusion: only regularities of physical geometry are observed in nature. Other geometries are derived from physical geometry. Anatoly Fedorovich Chernyaev worked as a foreman, chief engineer, researcher, secretary of the party committee of TsNIIEPselstroy . Currently retired. Author of unexpected and original books: "The Mystery of the Pyramid of Chefren", "The Great Sphinx: A Sign of Trouble", "Gold of Ancient Russia", "Russian Mechanics", etc. Preamble. Dialectics of Mathematics . Dynamic Properties of Geometry. Golden Proportions of Geometry . Static-dynamic projective geometry. Elements of Physical Geometry . Literature.