^2 . MATHEMATICAL SUPPLEMENT lions, why two linear equations have a single solution, why two simultaneous equations of second degree have four and only four solutions, etc., are all seen at. a glance when the equation is plotted. It is gratifying to note that the mathematics of the high school is improving, that the student of today knows more of what he ought to know than did the student of a few years ago. It is to be hoped that progress may spread rapidly and that thim ovement toward modern methods may soon reach all schools.