# Category geometric shapes

Geometric shapes are classified into **categories**.

From a viewpoint parametric, the category of a geometric shape is the number of variables or data necessary for referencing an element thereof.

For example, in the geometry "Flat dotted" (geometrical form containing the infinite points belonging to the same plane or base) two coordinates are needed to identify each of your points; dotted say that the plane is a second class.

The

rectilinear series, thestraight beamandflat beamitsforms of first category.

The **forms of second category** are dotted plane (the points), radiated plane (of lines) and straight radiation (lines through a given point of the space R3) and radiation levels (planes passing through a point).

The **third category forms** Points are space (R3 points) or planes.

# Projective Operations

**Two operations are projective**. The operators of our model geometric projective.

**Projection****Section**

Projecting from a point R a rectilinear base series b It is to generate a beam that point straight vertex.
Geometrical form containing these elements is based on a flat. |
Select by a line r straight beam vertex V.. is to generate a series of points that straight base.
Geometrical form containing these elements is based on a flat. |

The resulting shapes of sectioned by a line projecting from a point or other geometric shape are termed "**Forms prospects**”.

This concept is also generalized for the item "flat".

The **perspectivity** is desirable because it provides a simple relationship between the geometric elements (points and lines or planes) the corresponding forms.

In Figure **series** **base r**, this is **perspective** the **straight beam** **vertex R**. Each point on the line r corresponds to a straight beam and vice versa.