2.  The edges.

3.  The corners.

The surface is the outside of any object. In the case of the cube, for instance, we find the surface limited and broken up by edges and faces. The face is a limited part of a surface. An edge is formed by the meeting of two faces.

When passing the fingers over the surface of one of the solids, the pupil discovers decided differences. He notes a plain or flat surface, a curved surface and a round surface. He finds that all are not the same shape, and learns that

Edges may be curved or straight.

Corners will be noted, as well as the difference in shape, if he is shown how to study them. Having familiarized himself by a study of each, it is well for the pupil to take the sphere and cube together, in order that he may observe their resemblances and their differences. Explain to him carefully the meaning of dimension.

Dimension is an extent in one direction.

Considered as to surfaces, their differences are notable. The surface of the sphere is curved equally in all its parts, while the cube's surface has six equal plane faces.

Two of these six faces coming in contact form an edge, which is the subject of a second topic in the study of solids.

While the cube has twelve edges, the sphere has none.

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