The continental issue includes three-line imprint and is bound in full inlaid morocco by the publisher/bookseller Samuel Smith. Here is more from Christie’s:
One of the most important works in the history of science, “perhaps the greatest intellectual stride that it has ever been granted to any man to make” (Einstein). Two apparently concurrent issues can be distinguished, identified by their title in uncancelled or cancelled state. One was distributed by Halley and Newton themselves through a number of unnamed booksellers, the other was largely turned over to Samuel Smith for distribution on the Continent (as here). This Continental issue is considerably rarer.