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fty thousand, replenished and increased to about one hundred and twenty-five thousand, and approaching, as the end of the first period was reached, one hundred and fifty thousand men actually present upon the front. We can now set down these figures in the shape of simple units, and see how the numerical chances stood at the opening of the campaign. The enemy sets out with =32= men, of whom he bids =10= men against the Russians, and sends =22= against the French. The Russians meet the =10= men with about =12=, and the French meet the =22= with about =10=; but as they have not the whole =22= to meet in the first shock, they are struck rather in the proportion of =10= to =16= or =17=, while the presence of the British contingent makes them rather more than =101/2=. But these initial figures rapidly change with the growth of the armies, and before the first period is over the Germans have =22= in the West against =15= French and =1= British, making =16=; while in the East the Russian =12= has grown to, say, =24=, but the Austro-Germans in the East, against those =24=, have grown to be quite =32=. And there is the numerical situation of the first period clearly, and I think accurately, put, _supposing the wastage to be equal in proportion throughout all the armies_. The importance of appreciating these figures is that they permit us to understand why the enemy was morally certain of winning, quite apart from his right judgment on certain disputed theories of war (to which I shall turn in a moment), and quite apart from his heavy secret munitioning, which was of such effect in the earlier part of the campaign. He was ready with forces which he knew would be overwhelming, and how superior he was thus numerically in that first period can best be appreciated, I think, by a glance at the diagram on the next page. [Illustration: Sketch 14.] It is no wonder that he made certain of a decisive success in the West, and of the indefinite holding up or pushing back of the Russian forces in the East. It is no wonder that he confidently expected a complete victory before the winter, and the signing of peace before the end of the year. To that end all his munitioning, and even the details of his tactics, were directed. _The Figures of the Second Period, say to April 15-June 1, 1915._ The second period saw in the West, and, in the enemy's case, a very great change proceeding by a number of minute steps, but fairly rapid in c
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