The Elements of Plane Geometry (Classic Reprint) - Hardcover

Inhaltsangabe

Excerpt from The Elements of Plane Geometry

A solid has three dimensions - length, breadth, and thick ness.

The boundaries of a solid are surfaces. A surface has two dimensions -length and breadth.

The boundaries of a surface are lines. A line has one dimension length.

The extremities of a line are points. A point has posi tion, but no magnitude.

When a point moves continuously, it traces a line. Like wise, a surface may be generated by a moving line, and a solid by a moving surface. Hence we may conceive of a surface as existing in space without reference to its being a boundary of a solid. In like, manner we may conceive of lines and points as existing independently in space.

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