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In this article, the impossibility of universal gravitation is postulated, and the existence of ‘mutual local gravity’ between two celestial bodies is suggested. It is implied that gravity can only be present between two individual celestial bodies. Furthermore, the concepts of ‘moving mutual local gravity’ and ‘retaining mutual local gravity’ are introduced.

This article can be considered the final proof of Euclid’s 5th postulate. Nevertheless, its main purpose is to show that the difference between Lobachevskian and Euclidean geometry is much more significant than is commonly believed to date.