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[hahy-pur-buh-loid] /haɪˈpɜr bəˌlɔɪd/

noun, Mathematics.
a quadric surface having a finite center and some of its plane sections . Equation: x 2 / a 2 + y 2 / b 2 − z 2 / c 2 = 1.
a geometric surface consisting of one sheet, or of two sheets separated by a finite distance, whose sections parallel to the three coordinate planes are hyperbolas or ellipses. Equations x²/a² + y²/b² – z²/c² = 1 (one sheet) or x²/a² – y²/b² – z²/c² = 1 (two sheets) where a, b, and c are constants
Either of two surfaces generated by rotating a hyperbola about either of its main axes and having a finite center, with certain plane sections that are hyperbolas and others that are ellipses or circles.


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