Honest about their differences, Mr. Hollande cited as examples of the new relationship a “pact for growth” to go alongside a fiscal discipline treaty, championed by Ms. Merkel, and the ability to come to agreement on the single banking supervisory system for the euro zone. Ms. Merkel said they planned to meet in May to work out a joint position on economic cooperation, growth and competitiveness ahead of the next European Union summit meeting in June.

The French have sought to “rebalance” the power structures within the European Union by working closely with the Spanish and Italian leaders, and softened the quasi-religious quality of the German prescription of budget discipline and debt reduction.

But it remains true in European Union affairs that Ms. Merkel’s words carry more weight than those of any other leader — and not just because of Germany’s demographic and economic power. There is an understanding that nothing works in the bloc without German agreement, and that France, weaker economically and more saddled with debt, plays a more junior role.

A survey of 25,000 people on either side of the border released ahead of Tuesday’s festivities showed that while 80 percent of Germans and 70 percent of French hold the other in high regard, stereotypes persist.

The French still see themselves as Europe’s center of policy creativity, but view Germany as the overly cautious, and increasingly begrudging, paymaster. The Germans, however, consider their caution one of their greatest assets, and grumble at French reluctance to overhaul their social welfare system and reduce their dependence on nuclear energy.

With an active military and a seat on the United Nations Security Council, the French also see themselves as playing a far more important diplomatic role globally, while Germany seems to have regressed in its willingness to use force.