Geometry is essentially the study of shapes. In the world around us, every
object we see is a shape of some kind. Some are simple, like a
triangle, square, or
circle. Others seem to be combinations of these
simple shapes. It is the goal of this text to guide you through the study of
the simple shapes that compose nearly everything in the world, so that you
can apply these concepts to more complicated problems of geometry. To begin
understanding these shapes, we need to first learn their components.
The simplest unit of geometry is the point. A collection of points in a
certain array makes a line, and collections of lines in certain arrays
create shapes, which may exist in a single plane, or may exist in more than
one plane in space. These terms will be more carefully defined in the lessons that
follow. For now it is just important to introduce you to the language of geometry. You'll
become familiar with the names and properties of these figures, which are
the building blocks of geometry, and learn to recognize them in more complex situations.
In this SparkNote, Building Blocks, you'll also be introduced to the concept of
dimension, a property of every geometric figure having to do with how it is
measured. The dimension of a geometric figure determines whether it has length,
area, volume, or none of the three. Dimension is perhaps the most important
property of space. These concepts form the foundation of almost all higher
geometry, and are important to understand from the start. Enjoy your journey
into the world of geometry: you might find that it's just a different way to
look at our own world.