ARITHMETIC
Teaches the powers and properties of numbers, which are variously effected, by letters, tables, figures, and instruments. By this art, reasons and demonstrations are given for finding out any certain number whose relation or affinity to another is already known or discovered. The greater advancement we make in the mathematical sciences, the more capable we shall be of considering such things as are the ordinary objects of our conceptions, and be thereby led to a more comprehensive knowledge of our great Creator and the works of the creation.
GEOMETRY
Treats of the powers and properties of magnitudes in general, where length, breadth, and thickness are considered, from a point to a line, from a line to a superficies, and from a superficies to a solid.
A point is a dimensionless figure, or an indivisible part of a space.
A line is a point continued, and a figure of one capacity, namely, length.
A superficies is a figure of two dimensions, namely, length and breadth.
A solid is a figure of three dimensions, namely, length, breadth, and thickness.
THE ADVANTAGES OF GEOMETRY.
