From the reading of the page:

http://www.inquiriesjournal.com/articles/697/napoleon-bonapartes-peak-of-military-success-ulm-and-austerlitz

it does look like the French army crossed the Rhine. They had to, if they invaded Austria, right? However, I was sickened by the author's adulation of one of the worst killers mankind has ever produced, and I quit reading. Plus, I strongly suspect that the tactics the author finds so praiseworthy were the work of many people, not just Bonaparte.