In our second Treatise the Cartesian method of Algebraic Geometry has been omitted, as being much more remarkable for its elegance than utility. Of Logarithmic and Trigonometric TABLES we have given just what may serve as examples of their use and construction: a complète set would occupy many such volumes as ours, and after all be of little use except to one class of readers.
We may add, that the same plan is followed in this as in our preceding Treatises, namely: that of subjoining, under DOUBLE RULES, such principles of each science, as, though not indispensable, might be found of advantage. These may or may not be read, according to the Student's fancy.
Of the above-mentioned four Sciences the various uses and applications will be evident to him who proceeds but a little way in the road to mathematical and physical knowledge. Even in the commonest affairs of life-in accompts, measurements, &c, their utility is scarcely imaginable. They enter, one and all, into every numerical investigation of any magnitude, and are latent in almost every mechanical invention. LAPLACE could not have written his MECANIQUE CELESTE without their help; nor the simplest artificer pursue his trade without, at least, a practical acquaintance with their principles. No more, we apprehend, need be said to gain for these Sciences the notice of every Reader who is desirous to improve his mind or worldly condition.