Napoleon's military dominance refers to his unparalleled ability to lead and win battles during the late 18th and early 19th centuries, which established him as one of history's greatest military strategists. His tactics and innovative use of artillery, combined with the organization of large, mobile armies, allowed him to achieve significant victories across Europe, effectively reshaping the continent's political landscape. This dominance played a crucial role in his rise to power and ultimately set the stage for his eventual defeat.