dubious; fortunately for him, once more, they were not where they should have been, and they did not disturb the troops of the enemy in the repose which was so greatly needed.(4) Results The object was attained, but at a heavy cost. Of the 50,000 veteran infantry and the 9000 cavalry, which the army had numbered at the crossing of the Pyrenees, more than half had been sacrificed in the conflicts, the marches, and the passages of the rivers. Hannibal now, according to his own statement, numbered not more than 20,000 infantry--of whom three-fifths were Libyans and two-fifths Spaniards--and 6000 cavalry, part of them doubtless dismounted: the comparatively small loss of the latter proclaimed the excellence of the Numidian cavalry no less than the consideration of the general in making a sparing use of troops so select. A march of 526 miles or about 33 moderate days' marching--the continuance and termination of which were disturbed by no special misfortunes on a great scale that could not be anticipated, but were, on the other hand, rendered possible only by incalculable pieces of good fortune and still more incalculable blunders of the enemy, and which yet not only cost such sacrifices, but so fatigued and demoralized the army, that it needed a prolonged rest in order to be again ready for action--is a military operation of doubtful value, and it may be questioned whether Hannibal himself regarded it as successful. Only in so speaking we may not pronounce an absolute censure on the general: we see well the defects of the plan of operations pursued by him, but we cannot determine whether he was in a position to foresee them--his route lay through an unknown land of barbarians--or whether any other plan, such as that of taking the coast road or of embarking at Cartagena or at Carthage, would have exposed him to fewer dangers. The cautious and masterly execution of the plan in its details at any rate deserves our admiration, and to whatever causes the result may have been due --whether it was due mainly to the favour of fortune, or mainly to the skill of the general--the grand idea of Hamilcar, that of taking up the conflict with Rome in Italy, was now realized. It was his genius that projected this expedition; and as the task of Stein and Scharnhorst was more difficult and nobler than that of York and Blucher, so the unerring tact of historical tradition has always dwelt on the last link in the great chain of preparatory steps, the passage of the Alps, with a greater admiration than on the battles of the Trasimene lake and of the plain of Cannae. Notes for Chapter IV