Ellipse – conic section – educational animations
In mathematics, especially in geometry, ellipse is a conic curve, this means that it is formed with the points that simultaneously belong to a cone and to a plane that cut it off.
Ellipse – Conic section
When a right circular cone is sectioned by a plane oblique to the axis and forming with this axis an angle greater than the angle which the generatrix shape with the axis of the points belonging to both the plane and the cone form an ellipse.
The sum of the distances from any point on the ellipse to two fixed points (called foci) is always equal to its major axis.
The ellipse has the property to reflect to a focus any ray produced in the other focus, giving it excellent optical and acoustic properties.
Are the two fixed points of the ellipse.
It is the longest distance between two opposite points.
It is the shortest distance between two opposite points.
When the plane is perpendicular to the axis of the cone and does not contain the vertex, we obtain a particular ellipse. The circumference.
If the plane contains the vertex of the cone we will not have an ellipse but a point.