There is a library in the city, the Apprentices', on Sixteenth Street, whose existence is hardly known even to New-Yorkers, which is exceedingly interesting to the student as an instance of the good a trades' union may accomplish when its energies are rightly directed. Here is a library of about sixty thousand volumes, with a supplementary reference library of forty thousand seven hundred and fifty works, and a well-equipped reading-room, free of debt, and free to its patrons, and all the result of the well-directed efforts of the "Society of Mechanics and Tradesmen." This society first organized for charitable purposes in 1792, receiving its first charter on the 14th of March of that year. In January, 1821, its charter was amended, the society being empowered to support a school for the education of the children of its deceased and indigent members and for the establishment of an "Apprentices' Library for the use of the apprentices of mechanics in the City of New York." A small library had been opened the year before at 12 Chambers Street, and there the library remained, constantly growing in number of volumes and patrons, till 1835, when it was removed to the old High-School Building, at 472 Broadway, which the society about that time purchased. It remained there until 1878, when it followed the march of population up-town, removing to its present spacious and convenient rooms in Mechanics' Hall, in Sixteenth Street. Strange as it may seem, the Apprentices' is the nearest approach to a public library on a large scale that the city can boast. It is absolutely free to males up to the age of eighteen; after that age it is required of the beneficiaries that they be engaged in some mechanical employment. Ladies who are engaged in any legitimate occupation may partake of its benefits. Books are loaned, the applicants, besides meeting the above conditions, being only required to furnish a guarantor. The total circulation of this excellent institution for 1881-82 was 164,100 volumes, and its beneficial influence on the class reached may be imagined. It is nevertheless a class library; and the fact still remains that New York, with her vast wealth and her splendid public and private charities, has yet to endow the great public library which will place within reach of her citizens the literary wealth of the ages. There is scarcely a disease, it is said, but has its richly-endowed hospital in the city, the number of eleemosynary institutions is legion, but the establishment of a public library, which is usually the first care of a free, rich, intelligent community, has been unaccountably neglected. The subject is now receiving the earnest thought of the best people of the city. Considerable difference of opinion exists as to the best method of founding and supporting such an institution. Some argue that this should be done by the city alone, holding that the self-respecting workingman