If your original second ring had an inside bevel, then that bevel should have been facing down. As a general rule and with inside beveled rings, the top rings are installed with the bevel facing up while the second rings are installed with the bevel facing down. Always look at the instructions that come with the rings for verification of how they are to be installed.
If your replacement second ring has no bevel and no marks indicating ‘top’, then the ring can be installed in either direction.