§ 100. Power of justices of appellate division of first department to appoint confidential clerk of the appellate term. The justices of the appellate division of the supreme court in the first department, or a majority of them, are authorized to appoint in their discretion, and at pleasure remove, a confidential clerk of the appellate term of the said supreme court, or such tribunal as may hereafter be charged with the duty of hearing appeals from the city court of the city of New York and the municipal court of the city of New York, or either of them in the first department, and fix the salary of said confidential clerk. The board of estimate of the city of New York is authorized and empowered to provide the means to pay such salary.