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Definitions from the WebHyperboloidDefinitionA hyperboloid is a three-dimensional geometric shape that resembles a double cone. It consists of two separate pieces, called sheets, which are connected at their bases. The shape is defined by two oppositely curved surfaces, which are hyperbolas when viewed in cross-section. Senses and Usages1. MathematicsIn mathematics, a hyperboloid is a quadric surface that can be defined through the equation of two sheets as x²/a² + y²/b² - z²/c² = 1. It possesses distinct mathematical properties and is used in various branches of mathematics, such as geometry and linear algebra. Example sentence: The mathematician explained how to derive the equation of a hyperboloid using conic sections. 2. PhysicsIn physics, a hyperboloid is often used to describe the shape of certain surfaces or objects. It is commonly found in optical systems, such as hyperboloid mirrors or lenses, which help focus light or create specific optical effects. Example sentence: The telescope utilized a hyperboloid mirror to gather and focus incoming light. 3. ArchitectureIn architecture, hyperboloid structures refer to curved or twisted architectural elements that resemble a hyperboloid shape. These structures often provide unique and aesthetically pleasing designs. Example sentence: The modernist building featured a striking hyperboloid roof, adding a distinctive touch to the skyline. Related productsExplore related products on Amazon: | ||||
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