Ellipse

An ellipse is a closed plane curve formed by the intersection of a cone and a plane that is not parallel to the base. More simply, it is the set of all points in a plane for which the sum of the distances from two fixed points (foci) is constant. It resembles a flattened circle or oval. Its shape is determined by its major and minor axes, with the eccentricity dictating how 'elongated' the ellipse is. The formula for an ellipse centers on its axes and focal distances determining the properties of the geometric shape and many related applications.

Ellipse meaning with examples

• The planets orbit the sun in elliptical paths, a fundamental principle of Kepler's laws of planetary motion. This slightly flattened shape affects the seasons and the varying distance between the Earth and the Sun throughout the year. Precise measurements and equations are used to describe the planetary orbits, a critical observation in astronomy.
• The arch of the ancient Roman Colosseum exhibits an elliptical design, lending both structural strength and aesthetic appeal to its iconic form. The architect's strategic use of this shape contributed to the structure's ability to withstand the test of time. This ellipse is also important for the arena itself, creating optimal vision from the seats.
• An engineer designing a whispering gallery often utilizes elliptical ceilings; the focal points create a unique phenomenon where sound from one focus is clearly heard at the other. Acoustic design in such buildings relies heavily on the properties of this two dimensional curved shape that directs all sounds. Its properties focus all energy from one point into another.
• The 'halo' effect around a distant light source, like that of the Sun or a star, can sometimes be described by using elliptical geometries. Refraction and scattering of light through the atmosphere cause the shape of the surrounding area to change, producing this effect of a flattened circle. Its unique characteristics are often used to understand atmospheric conditions.
• A graphic artist might choose an ellipse to design logos or to portray a sense of movement and fluidity in their designs. From creating stylized representations of an object to serving as an accent, this geometric shape offers significant creative freedom. This shape, often used as a visual symbol, is considered a key element to attract a viewer.