The elementary geometry, which is learned in school, deals
with basic concepts such as a point, a straight line, a segment.
They are used to compose more complicated concepts: a polygo-
nal line, a polygon, a polyhedron. Some curvilinear forms are also
considered: a circle, a cylinder, a cone, a sphere, a ball.
The analytical geometry basically deals with the same geometric
objects as the elementary geometry does. The difference is in
a method for studying these objects. The elementary geometry
relies on visual impressions and formulate the properties of geometric
objects in its axioms. From these axioms various theorems
are derived, whose statements in most cases are also revealed in
visual impressions. The analytical geometry is more inclined to a
numeric description of geometric objects and their properties. |