PARABOLOID Meaning and
Definition
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A paraboloid is a mathematical term that refers to a three-dimensional shape resembling a curved surface generated by rotating a parabola around its axis. It is a smooth surface that is defined by a set of points equidistant from a fixed point known as the focus and a vertical line called the directrix. The shape of a paraboloid can take different forms, including a bowl or a saddle shape, depending on the orientation of the parabola being rotated.
In geometry, a paraboloid is classified into two types: elliptic paraboloids and hyperbolic paraboloids. An elliptic paraboloid is obtained when the focus lies above the directrix resulting in a concave shape resembling an upward-opening bowl. Conversely, a hyperbolic paraboloid is formed when the focus is positioned below the directrix, which gives the surface a saddle-like appearance with two opposing curves.
The concept of a paraboloid is not limited to math or geometry alone. Paraboloid shapes can be found in various applications and fields. For instance, in architecture, paraboloid structures are often utilized to create unique designs in buildings or roofs. In physics and engineering, paraboloids are frequently employed in technologies like satellite dishes and car headlights due to their ability to accurately reflect or focus waves, signals, or light.
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A solid generated by the revolution of a parabola about its axis, called also the parabolic conoid.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Common Misspellings for PARABOLOID
Etymology of PARABOLOID
The word "paraboloid" is derived from the Greek word "parabolḗ", which means "comparison" or "analogy", and the suffix "-oid", which means "resembling" or "having the form of". In mathematics, a paraboloid is a three-dimensional surface that is generated by the rotation of a parabola around its axis. The term was first introduced by the French mathematician Gaspard Monge in the late 18th century.
Similar spelling words for PARABOLOID
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