 \(R'\) being a “properly” geometrical proposition, and the \(r_i\) expressing the relationships between objects of the representative space and the geometrical space, such as the relation between solid bodies and motion invariants. Poincaré declares that by changing the relations \(r_i\), the geometrical proposition \(R'(A', B')\) could even serve to describe the relationship between two different physical bodies (see Poincaré 1905b: 166–67; 1913b: 336). Poincaré thereby rules out any application of geometry to physics based on a structural isomorphism with a presupposed reality (Mette 1986: 75–80).