noun
- Plural of hyperboloid; three-dimensional surfaces generated by rotating a hyperbola around one of its axes, having two sheets or one sheet depending on the axis of rotation.
Usage: mathematics; geometry; technical
Examples
- The architect designed the cooling tower using the shape of a hyperboloid of one sheet.
- In calculus class, students studied the equations of hyperboloids and their properties.
- Hyperboloids appear frequently in engineering and architectural design because of their structural strength.
- The hyperboloids generated by rotating the hyperbola have interesting symmetrical properties.
- Modern buildings sometimes incorporate hyperboloid shapes for both aesthetic and functional reasons.