The New-York Free Academy is eminently fortunate in its officers. HORACE WEBSTER, LL. D., is, in all respects, admirably fitted for his position as its President. He perfectly understands the indispensableness of thorough organization, and absolute and watchful discipline. Dr. Webster is a native of Vermont, and is of that family which, in various departments, has furnished the country some of its most illustrious names. At an early age, he became a student of the Military Academy, and so has himself experience of the advantages of that system which he advocates, and illustrates in his own administration. He graduated with distinction, and it is properly mentioned as an indication of his standing at West Point that, while he was a cadet of the first class, he was selected by the government of the Academy to be temporarily himself an instructor. In 1818 he joined the army, as a lieutenant, and after passing one year with his regiment, of which the late General Taylor was at that time the Major, he was elected Assistant Professor of Mathematics in the Military Academy, and returned to fulfil for six years, with constantly increasing reputation, both for scientific abilities and for personal character, the duties of that office, which it scarcely need be said are more difficult at West Point than in any other school in America. Among the distinguished gentlemen who were associated with him in teaching or as students during this period, were General Worth, Colonel Bliss, Colonel Thayer, Colonel Mansfield, and Professors Alexander D. Bache, LL. D., Charles Davies, LL. D., E. C. Ross, LL. D., and John Torrey, LL. D. Resigning his commission, he was in 1825 made Professor of Mathematics and Natural Philosophy in Geneva College, and he filled this place twenty-three years, leaving it in 1848, to accept the Presidency of the New York Free Academy. We conceive that nothing could have invested this school with a higher claim to respect, or challenged for it a larger degree of confidence, than the selection of a man of such experience, capacities, and reputation, to be its chief officer; and for the class of persons likely to come under his instruction, no course of study could be more judicious, no training more admirably adapted, than may be expected from one who has been so long and so successfully engaged in preparing men for the most difficult and important offices. His attainments needed no illustration, and his administrative abilities have been amply vindicated by his government of the Free Academy.