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Conics in the Real World

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by

Ari P

on 13 May 2014

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Transcript of Conics in the Real World

Hyperbolas
Parabolas
What are Conics?
A conic section is the intersection of a plane and a double napped cone. When the plane and the cones intersect they may form different shapes - circles, parabolas, hyperbolas and ellipses.

In the real world conics are present in many different places - marketing, architecture, nature, objects, etc.

Here are some examples:
Ellipse is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane that does not intersect the base.
Ellipses
Hyperbola is a conic section formed by a plane that cuts both bases of a cone; it consists of two branches asymptotic to two intersecting fixed lines and has two foci.
A parabolas is a a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
Conics in the Real World
In Russia they have planes with ellipse wings. They say it has a few benefits comparing to the traditional airplanes, for example the wing can be less in size, it’s more firm because the ellipse form is self sustaining, also since there are now air vortexes by the sides of the wings it gives up to a 30% increase in power.
Sources:
Information provided in the lesson
HTTP://englishrussia.com/2009/03/05/ellipse-wings/
Wikipedia
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