ers have been exchanged for those more simple, or better adapted to the subjects designed to be illustrated by them. These changes have been made chiefly to meet more fully the wants of those, who commence the study of algebra with this treatise; and the work, it is believed, will now be found sufficiently elementary. For younger students, however, or those who may not have the aid of a teacher, it may be well on a first reading to proceed as far as the 13th Section, omitting the 3d, 7th, 8th, 9th and 10th, and then to resume the work and read the whole in course. In thus adapting the work to this class of students, the writer has been indebted for several valuable suggestions to Prof. Johnson of the Wesleyan University. The present treatise, in the selection of the materials for which the best elementary treatises, particularly those of Lacroix and Bourdon, have been consulted, forms a part of the course of mathematical study in Bowdoin College. In addition to this, a treatise on Plane Trigonometry with its application to Heights and Distances, and a treatise on Analytic Geometry, including Spherical Trigonometry, have been published. Other parts of the course are in preparation. Bowdoin College, March, 1836. Elimination by addition and subtraction-examples for practice - Equations with three unknown quantities-examples for practice Examples in the solution of questions involving three unknown Simplifications in the solution of indeterminate questions Indeterminate questions with three or more unknown quantities Questions producing incomplete equations of the second degree 145-147 Solution of complete equations of the second degree—equations General equation of the second degree-equations of the second degree admit of two values for the unknown quantity Discussion of the general equation of the second degree-exam- ples for illustration-examination of particular cases |