The second Anne beat him by five. But her triumph was marred by the fact that Gilbert congratulated her heartily before the whole school. It would have been ever so much sweeter to her if he had felt the sting of his defeat.

Mr. Phillips might not be a very good teacher; but a pupil so inflexibly determined on learning as Anne was could hardly escape making progress under any kind of a teacher. By the end of the term Anne and Gilbert were both promoted into the fifth class and allowed to begin studying the elements of “the branches”⁠—by which Latin, geometry, French, and algebra were meant. In geometry Anne met her Waterloo.