It is with great pleasure and satisfaction that I dedicate these following pages to those who are especially interested in mathematics, to those who are more geometrically than algebraically inclined, and in particular to my students in mathematics. It is through my students of the past that I have been assisted in bringing forth this work, by applying such knowledge as I have acquired in my teaching experience. To the pupils who in the future will come under my guidance and direction I hope to impart the benefits and fruits that should be the outgrowth of the labor and study put upon this work