  One of the goals that physicists have been pursuing is to get the same
explanation from different angles for the same phenomenon, so as to realize the
unity of basic physical laws. Geometry, classical mechanics and classical
thermodynamics are three relatively old disciplines. Their research methods and
perspectives for the same phenomenon are quite different. However, there must
be some undetermined connections and symmetries among them. In previous
studies, there is a lack of horizontal analogical research on the basic
theories of different disciplines, but revealing the deep connections between
them will help to deepen the understanding of the existing system and promote
the common development of multiple disciplines. Using the method of analogy
analysis, five basic axioms of geometry, four laws of classical mechanics and
four laws of thermodynamics are compared and analyzed. The similarity and
relevance of basic laws between different disciplines is proposed. Then, by
comparing the axiom of circle in geometry and Newton's law of universal
gravitation, the conjecture of the law of thermo-gravitation is put forward.
