To characterize the import of pure geometry, we might use the standard form of a movie-disclaimer: No portrayal of the characteristics of geometrical figures or of the spatial properties of relationships of actual bodies is intended, and any similarities between the primitive concepts and their customary geometrical connotations are purely coincidental.
The Philosophy of Carl G. Hempel: Studies in Science, Explanation, and Rationality (ed. Oxford University Press, 2001) - ISBN: 9780195343878