Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight lines as shortest lines as well as their relations of intersection.


The Philosophy of Space and Time (1928, tr. 1957)


Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight...

Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight...

Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight...

Common to the two geometries is only the general property of one-to-one correspondence, and the rule that this correspondence determines straight...