during the whole war but pillage) was reduced to thirty-six thousand, though not more than five thousand had fallen in battle. From this beginning the succeeding terms of the progression could be determined mathematically. The French army melted away and perished at the same rate from Moscow to Vyázma, from Vyázma to Smolénsk, from Smolénsk to the Berëzina, and from the Berëzina to Vílna—independently of the greater or lesser intensity of the cold, the pursuit, the barring of the way, or any other particular conditions. Beyond Vyázma the French army instead of moving in three columns huddled together into one mass, and so went on to the end. Berthier wrote to his Emperor (we know how far commanding officers allow themselves to diverge from the truth in describing the condition of an army) and this is what he said:
I deem it