Geometric Aspect of the Ellipse (without Calculus)
Ellipse, Analytic Geometry, Geometric Aspect.
This work deals with the ellipse and has as main objective to get to your graphic sketch without the use of concepts and results of the Differential and Integral Calculus, which enables their understanding by high school students. For this, the deduction of the canonical equation of the ellipse is presented, which is only valid when the ellipse has some particular characteristics, however, it is also shown that through a change in the coordinate system, any ellipse will present such characteristics and may be represented by the canonical equation, which is much easier to handle.