ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS

Abstract

In mathematics, a conic is the curve that is obtained by intersecting a plane with a cone. Is well known that the shape of this curve may differ quite a bit depending on the position of the intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "conical". In the first part, we determine the relation between the shape of the section curve and the angle of the plane of the section plane. The paper also proposes a reassembly of the cone from the fragments resulting from the sectioning with different planes. These recommences can be found as technical solutions for joining two pipes with different diameters and whose axes are not coaxial.

Keywords

• conic
• sections
• decomposition
• inclined surface
• ellipse
• parabola